{"id":1,"expression_no_base_symbol":"($3334$⨽$1725$)↼⊘⨖$3044$∺≝⩲$1164$","expression":"(↹⩛23234⨽↹⩛11553)↼⊘⨖↹⩛22032∺≝⩲↹⩛5220","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3358,"operation_count":3,"complexity_ratio":1119.3333333333333,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3334,"base":6},"right_expr":{"type":"numeric_atoms","value":1725,"base":6}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":3044,"base":6},"right_expr":{"type":"numeric_atoms","value":1164,"base":6}}},"used_operators":["bPywburJMS","8HhzD0ZcuI","KPf6cnQVty"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"↹⩛242","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3334","layer":2},{"info":"number node, value=1725","layer":2},{"info":"compute binary expreesion, left_input=3334, right_input=1725, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-33350529","layer":1},{"info":"number node, value=3044","layer":2},{"info":"number node, value=1164","layer":2},{"info":"compute binary expreesion, left_input=3044, right_input=1164, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-33350529, right_input=160, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=98","layer":0}],"base":6,"result_base":6,"text":"(↹⩛23234⨽↹⩛11553)↼⊘⨖↹⩛22032∺≝⩲↹⩛5220=↹⩛242","reverse_text":"↹⩛242=(↹⩛23234⨽↹⩛11553)↼⊘⨖↹⩛22032∺≝⩲↹⩛5220","cot":[{"info":"↹⩛23234⨽↹⩛11553=↹⩛-3150452333","layer":1},{"info":"↹⩛22032∺≝⩲↹⩛5220=↹⩛424","layer":1},{"info":"↹⩛-3150452333↼⊘⨖↹⩛424=↹⩛242","layer":0}]}
{"id":2,"expression_no_base_symbol":"($2765$⇽⩪)⊝⪿⪼$1684$⪝$5283$","expression":"(↹⩛20445⇽⩪)⊝⪿⪼↹⩛11444⪝↹⩛40243","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":461,"operation_count":3,"complexity_ratio":153.66666666666666,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":2765,"base":6}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1684,"base":6},"right_expr":{"type":"numeric_atoms","value":5283,"base":6}}},"used_operators":["3Oe9XWJUTD","FonBHBYJbU","wicAB68Tmb"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"↹⩛1515342","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2765","layer":2},{"info":"compute unary expreesion, input=2765, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=6052","layer":1},{"info":"number node, value=1684","layer":2},{"info":"number node, value=5283","layer":2},{"info":"compute binary expreesion, left_input=1684, right_input=5283, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":1},{"info":"compute binary expreesion, left_input=6052, right_input=237, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=88046","layer":0}],"base":6,"result_base":6,"text":"(↹⩛20445⇽⩪)⊝⪿⪼↹⩛11444⪝↹⩛40243=↹⩛1515342","reverse_text":"↹⩛1515342=(↹⩛20445⇽⩪)⊝⪿⪼↹⩛11444⪝↹⩛40243","cot":[{"info":"↹⩛20445⇽⩪=↹⩛44004","layer":1},{"info":"↹⩛11444⪝↹⩛40243=↹⩛1033","layer":1},{"info":"↹⩛44004⊝⪿⪼↹⩛1033=↹⩛1515342","layer":0}]}
{"id":3,"expression_no_base_symbol":"($5140$∖$3230$)⊴(↘$7468$)","expression":"(↹⩛35444∖↹⩛22542)⊴(↘↹⩛54324)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":487,"operation_count":3,"complexity_ratio":162.33333333333334,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":5140,"base":6},"right_expr":{"type":"numeric_atoms","value":3230,"base":6}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":7468,"base":6}}},"used_operators":["Nsiff2A1zJ","tXD093vOjl","LdNpr8hQHL"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","uFcxV4UQCh"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5140","layer":2},{"info":"number node, value=3230","layer":2},{"info":"compute binary expreesion, left_input=5140, right_input=3230, 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=7468","layer":2},{"info":"compute unary expreesion, input=7468, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=20","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=20, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛35444∖↹⩛22542)⊴(↘↹⩛54324)=NaN","reverse_text":"NaN=(↹⩛35444∖↹⩛22542)⊴(↘↹⩛54324)","cot":[{"info":"↹⩛35444∖↹⩛22542=↹⩛0","layer":1},{"info":"↘↹⩛54324=↹⩛32","layer":1},{"info":"↹⩛0⊴↹⩛32=NaN","layer":0}]}
{"id":4,"expression_no_base_symbol":"($1166$⪭$3131$)⩍⋽⫝̸$3277$⪔⊥$4394$","expression":"(↹⩛5222⪭↹⩛22255)⩍⋽⫝̸↹⩛23101⪔⊥↹⩛32202","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29,"operation_count":3,"complexity_ratio":9.666666666666666,"tree":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1166,"base":6},"right_expr":{"type":"numeric_atoms","value":3131,"base":6}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":3277,"base":6},"right_expr":{"type":"numeric_atoms","value":4394,"base":6}}},"used_operators":["BiWNJpBvwn","j9kHMeSvPp","HJ9erzHUuu"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","COABgblf1C","xUOZtlo3hN","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"↹⩛22411","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1166","layer":2},{"info":"number node, value=3131","layer":2},{"info":"compute binary expreesion, left_input=1166, right_input=3131, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"number node, value=3277","layer":2},{"info":"number node, value=4394","layer":2},{"info":"compute binary expreesion, left_input=3277, right_input=4394, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=4121","layer":1},{"info":"compute binary expreesion, left_input=5, right_input=4121, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=3175","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5222⪭↹⩛22255)⩍⋽⫝̸↹⩛23101⪔⊥↹⩛32202=↹⩛22411","reverse_text":"↹⩛22411=(↹⩛5222⪭↹⩛22255)⩍⋽⫝̸↹⩛23101⪔⊥↹⩛32202","cot":[{"info":"↹⩛5222⪭↹⩛22255=↹⩛5","layer":1},{"info":"↹⩛23101⪔⊥↹⩛32202=↹⩛31025","layer":1},{"info":"↹⩛5⩍⋽⫝̸↹⩛31025=↹⩛22411","layer":0}]}
{"id":5,"expression_no_base_symbol":"⪁⇼($1444$≀⩗∶$2092$)","expression":"⪁⇼(↹⩛10404≀⩗∶↹⩛13404)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":21,"operation_count":2,"complexity_ratio":10.5,"tree":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1444,"base":6},"right_expr":{"type":"numeric_atoms","value":2092,"base":6}}},"used_operators":["ZNVVrZ94lY","8INZBEW696"],"dependent_operators":["sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"↹⩛1542","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1444","layer":2},{"info":"number node, value=2092","layer":2},{"info":"compute binary expreesion, left_input=1444, right_input=2092, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":1},{"info":"compute unary expreesion, input=-3, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":0}],"base":6,"result_base":6,"text":"⪁⇼(↹⩛10404≀⩗∶↹⩛13404)=↹⩛1542","reverse_text":"↹⩛1542=⪁⇼(↹⩛10404≀⩗∶↹⩛13404)","cot":[{"info":"↹⩛10404≀⩗∶↹⩛13404=↹⩛-3","layer":1},{"info":"⪁⇼↹⩛-3=↹⩛1542","layer":0}]}
{"id":6,"expression_no_base_symbol":"($6115$⪒$2188$)⨐⩸⫘$2359$⇄$1382$","expression":"(↹⩛44151⪒↹⩛14044)⨐⩸⫘↹⩛14531⇄↹⩛10222","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6115,"base":6},"right_expr":{"type":"numeric_atoms","value":2188,"base":6}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":2359,"base":6},"right_expr":{"type":"numeric_atoms","value":1382,"base":6}}},"used_operators":["fu6greOZ01","f6k1SAg4EE","3EYGwJThht"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"↹⩛-102235","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6115","layer":2},{"info":"number node, value=2188","layer":2},{"info":"compute binary expreesion, left_input=6115, right_input=2188, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8303","layer":1},{"info":"number node, value=2359","layer":2},{"info":"number node, value=1382","layer":2},{"info":"compute binary expreesion, left_input=2359, right_input=1382, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-8303, right_input=0, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-8303","layer":0}],"base":6,"result_base":6,"text":"(↹⩛44151⪒↹⩛14044)⨐⩸⫘↹⩛14531⇄↹⩛10222=↹⩛-102235","reverse_text":"↹⩛-102235=(↹⩛44151⪒↹⩛14044)⨐⩸⫘↹⩛14531⇄↹⩛10222","cot":[{"info":"↹⩛44151⪒↹⩛14044=↹⩛-102235","layer":1},{"info":"↹⩛14531⇄↹⩛10222=↹⩛0","layer":1},{"info":"↹⩛-102235⨐⩸⫘↹⩛0=↹⩛-102235","layer":0}]}
{"id":7,"expression_no_base_symbol":"(↪⫪⫘$5679$)≦↸($5852$∋$1385$)","expression":"(↪⫪⫘↹⩛42143)≦↸(↹⩛43032∋↹⩛10225)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":387,"operation_count":3,"complexity_ratio":129.0,"tree":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":5679,"base":6}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":5852,"base":6},"right_expr":{"type":"numeric_atoms","value":1385,"base":6}}},"used_operators":["RygbFNSyEJ","9dWsAM3GFt","ukq6epAj5P"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"↹⩛-341425103","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5679","layer":2},{"info":"compute unary expreesion, input=5679, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":1},{"info":"number node, value=5852","layer":2},{"info":"number node, value=1385","layer":2},{"info":"compute binary expreesion, left_input=5852, right_input=1385, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=3120352","layer":1},{"info":"compute binary expreesion, left_input=20, right_input=3120352, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-6240063","layer":0}],"base":6,"result_base":6,"text":"(↪⫪⫘↹⩛42143)≦↸(↹⩛43032∋↹⩛10225)=↹⩛-341425103","reverse_text":"↹⩛-341425103=(↪⫪⫘↹⩛42143)≦↸(↹⩛43032∋↹⩛10225)","cot":[{"info":"↪⫪⫘↹⩛42143=↹⩛32","layer":1},{"info":"↹⩛43032∋↹⩛10225=↹⩛150514024","layer":1},{"info":"↹⩛32≦↸↹⩛150514024=↹⩛-341425103","layer":0}]}
{"id":8,"expression_no_base_symbol":"($4286$⫦⪉$2910$)⊠≄⫣","expression":"(↹⩛31502⫦⪉↹⩛21250)⊠≄⫣","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":26,"operation_count":2,"complexity_ratio":13.0,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":4286,"base":6},"right_expr":{"type":"numeric_atoms","value":2910,"base":6}}},"used_operators":["DIvbN7qnHd","wscyQdcy20"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4286","layer":2},{"info":"number node, value=2910","layer":2},{"info":"compute binary expreesion, left_input=4286, right_input=2910, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-3672","layer":1},{"info":"compute unary expreesion, input=-3672, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":6,"result_base":6,"text":"(↹⩛31502⫦⪉↹⩛21250)⊠≄⫣=↹⩛0","reverse_text":"↹⩛0=(↹⩛31502⫦⪉↹⩛21250)⊠≄⫣","cot":[{"info":"↹⩛31502⫦⪉↹⩛21250=↹⩛-25000","layer":1},{"info":"↹⩛-25000⊠≄⫣=↹⩛0","layer":0}]}
{"id":9,"expression_no_base_symbol":"(⇈$2890$)⫢⨠(⊊≼∋$4075$)","expression":"(⇈↹⩛21214)⫢⨠(⊊≼∋↹⩛30511)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5177,"operation_count":3,"complexity_ratio":1725.6666666666667,"tree":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":2890,"base":6}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":4075,"base":6}}},"used_operators":["xlXykHWxX1","SLLxy00UIr","FWz7pXsQhA"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","B5M0gjZbta","jCPkEVoL5K"],"result":"↹⩛43122","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2890","layer":2},{"info":"compute unary expreesion, input=2890, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":1},{"info":"number node, value=4075","layer":2},{"info":"compute unary expreesion, input=4075, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=-447, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=5882","layer":0}],"base":6,"result_base":6,"text":"(⇈↹⩛21214)⫢⨠(⊊≼∋↹⩛30511)=↹⩛43122","reverse_text":"↹⩛43122=(⇈↹⩛21214)⫢⨠(⊊≼∋↹⩛30511)","cot":[{"info":"⇈↹⩛21214=↹⩛-2023","layer":1},{"info":"⊊≼∋↹⩛30511=↹⩛-2023","layer":1},{"info":"↹⩛-2023⫢⨠↹⩛-2023=↹⩛43122","layer":0}]}
{"id":10,"expression_no_base_symbol":"⨭⩧⫛($3219$⊾⪯⋞$7794$)","expression":"⨭⩧⫛(↹⩛22523⊾⪯⋞↹⩛100030)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":358,"operation_count":2,"complexity_ratio":179.0,"tree":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":3219,"base":6},"right_expr":{"type":"numeric_atoms","value":7794,"base":6}}},"used_operators":["g21JL6JxX7","HK0tfVPux8"],"dependent_operators":["Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3219","layer":2},{"info":"number node, value=7794","layer":2},{"info":"compute binary expreesion, left_input=3219, right_input=7794, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=15162","layer":1},{"info":"compute unary expreesion, input=15162, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⨭⩧⫛(↹⩛22523⊾⪯⋞↹⩛100030)=NaN","reverse_text":"NaN=⨭⩧⫛(↹⩛22523⊾⪯⋞↹⩛100030)","cot":[{"info":"↹⩛22523⊾⪯⋞↹⩛100030=↹⩛154110","layer":1},{"info":"⨭⩧⫛↹⩛154110=NaN","layer":0}]}
{"id":11,"expression_no_base_symbol":"($1486$⩍⋽⫝̸$6427$)⪎↠($5492$⩼⇪↪$1030$)","expression":"(↹⩛10514⩍⋽⫝̸↹⩛45431)⪎↠(↹⩛41232⩼⇪↪↹⩛4434)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1486,"base":6},"right_expr":{"type":"numeric_atoms","value":6427,"base":6}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":5492,"base":6},"right_expr":{"type":"numeric_atoms","value":1030,"base":6}}},"used_operators":["3tVxb0NHM4","BiWNJpBvwn","ocnLzx9CaJ"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","Ph9nP6C5qx","xUOZtlo3hN","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1486","layer":2},{"info":"number node, value=6427","layer":2},{"info":"compute binary expreesion, left_input=1486, right_input=6427, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=5481","layer":1},{"info":"number node, value=5492","layer":2},{"info":"number node, value=1030","layer":2},{"info":"compute binary expreesion, left_input=5492, right_input=1030, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=2991","layer":1},{"info":"compute binary expreesion, left_input=5481, right_input=2991, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10514⩍⋽⫝̸↹⩛45431)⪎↠(↹⩛41232⩼⇪↪↹⩛4434)=↹⩛424","reverse_text":"↹⩛424=(↹⩛10514⩍⋽⫝̸↹⩛45431)⪎↠(↹⩛41232⩼⇪↪↹⩛4434)","cot":[{"info":"↹⩛10514⩍⋽⫝̸↹⩛45431=↹⩛41213","layer":1},{"info":"↹⩛41232⩼⇪↪↹⩛4434=↹⩛21503","layer":1},{"info":"↹⩛41213⪎↠↹⩛21503=↹⩛424","layer":0}]}
{"id":12,"expression_no_base_symbol":"↨$7640$⨽$1654$","expression":"↨↹⩛55212⨽↹⩛11354","highest_n_order":4,"priority_hierarchical_complexity":1,"normalized_expansion_degree":7797,"operation_count":2,"complexity_ratio":3898.5,"tree":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":7640,"base":6},"right_expr":{"type":"numeric_atoms","value":1654,"base":6}}},"used_operators":["jiX4gk2v2Q","8HhzD0ZcuI"],"dependent_operators":["rGHVDoGpnC","oZj3VtZNQx","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7640","layer":2},{"info":"number node, value=1654","layer":2},{"info":"compute binary expreesion, left_input=7640, right_input=1654, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-175112448","layer":1},{"info":"compute unary expreesion, input=-175112448, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↨↹⩛55212⨽↹⩛11354=NaN","reverse_text":"NaN=↨↹⩛55212⨽↹⩛11354","cot":[{"info":"↹⩛55212⨽↹⩛11354=↹⩛-25213133440","layer":1},{"info":"↨↹⩛-25213133440=NaN","layer":0}]}
{"id":13,"expression_no_base_symbol":"($1189$∝$2175$)⇴(∂⩏⊆$1275$)","expression":"(↹⩛5301∝↹⩛14023)⇴(∂⩏⊆↹⩛5523)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29,"operation_count":3,"complexity_ratio":9.666666666666666,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1189,"base":6},"right_expr":{"type":"numeric_atoms","value":2175,"base":6}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":1275,"base":6}}},"used_operators":["4JB6nKBMSY","cTDWOvIxvz","8WDwsbhb0R"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","7j4O788W3g","W4YGzv6Whe","COABgblf1C","14qkJME0vr","eLAdDNolq6"],"result":"↹⩛-4434","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1189","layer":2},{"info":"number node, value=2175","layer":2},{"info":"compute binary expreesion, left_input=1189, right_input=2175, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1194","layer":1},{"info":"number node, value=1275","layer":2},{"info":"compute unary expreesion, input=1275, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-3904","layer":1},{"info":"compute binary expreesion, left_input=1194, right_input=-3904, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-1030","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5301∝↹⩛14023)⇴(∂⩏⊆↹⩛5523)=↹⩛-4434","reverse_text":"↹⩛-4434=(↹⩛5301∝↹⩛14023)⇴(∂⩏⊆↹⩛5523)","cot":[{"info":"↹⩛5301∝↹⩛14023=↹⩛5310","layer":1},{"info":"∂⩏⊆↹⩛5523=↹⩛-30024","layer":1},{"info":"↹⩛5310⇴↹⩛-30024=↹⩛-4434","layer":0}]}
{"id":14,"expression_no_base_symbol":"≪(↑$6685$)","expression":"≪(↑↹⩛50541)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":87,"operation_count":2,"complexity_ratio":43.5,"tree":{"type":"unary","operator":"≪","unary_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":6685,"base":6}}},"used_operators":["Qtd6bqUJcN","tR7O2zTn5j"],"dependent_operators":["3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx"],"result":"↹⩛4121","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6685","layer":2},{"info":"compute unary expreesion, input=6685, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":1},{"info":"compute unary expreesion, input=192, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":0}],"base":6,"result_base":6,"text":"≪(↑↹⩛50541)=↹⩛4121","reverse_text":"↹⩛4121=≪(↑↹⩛50541)","cot":[{"info":"↑↹⩛50541=↹⩛520","layer":1},{"info":"≪↹⩛520=↹⩛4121","layer":0}]}
{"id":15,"expression_no_base_symbol":"$1049$⇻⋧≁$1074$⨫⇇↔$2192$≦↸$4937$","expression":"↹⩛4505⇻⋧≁↹⩛4550⨫⇇↔↹⩛14052≦↸↹⩛34505","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1109,"operation_count":3,"complexity_ratio":369.6666666666667,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1049,"base":6},"right_expr":{"type":"numeric_atoms","value":1074,"base":6}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2192,"base":6},"right_expr":{"type":"numeric_atoms","value":4937,"base":6}}},"used_operators":["LXhwmt4mBO","jCPkEVoL5K","RygbFNSyEJ"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"↹⩛-2235","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1049","layer":2},{"info":"number node, value=1074","layer":2},{"info":"compute binary expreesion, left_input=1049, right_input=1074, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":1},{"info":"number node, value=2192","layer":2},{"info":"number node, value=4937","layer":2},{"info":"compute binary expreesion, left_input=2192, right_input=4937, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-13577","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=-13577, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":6,"result_base":6,"text":"↹⩛4505⇻⋧≁↹⩛4550⨫⇇↔↹⩛14052≦↸↹⩛34505=↹⩛-2235","reverse_text":"↹⩛-2235=↹⩛4505⇻⋧≁↹⩛4550⨫⇇↔↹⩛14052≦↸↹⩛34505","cot":[{"info":"↹⩛4505⇻⋧≁↹⩛4550=↹⩛-2023","layer":1},{"info":"↹⩛14052≦↸↹⩛34505=↹⩛-142505","layer":1},{"info":"↹⩛-2023⨫⇇↔↹⩛-142505=↹⩛-2235","layer":0}]}
{"id":16,"expression_no_base_symbol":"($7057$⩺⪪$2045$)⋥≓≎($2935$∲⫓$1490$)","expression":"(↹⩛52401⩺⪪↹⩛13245)⋥≓≎(↹⩛21331∲⫓↹⩛10522)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":129,"operation_count":3,"complexity_ratio":43.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":7057,"base":6},"right_expr":{"type":"numeric_atoms","value":2045,"base":6}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2935,"base":6},"right_expr":{"type":"numeric_atoms","value":1490,"base":6}}},"used_operators":["Qy55tPpLXF","uvdQJvN4PV","i8ToyICDmI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7057","layer":2},{"info":"number node, value=2045","layer":2},{"info":"compute binary expreesion, left_input=7057, right_input=2045, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-81090","layer":1},{"info":"number node, value=2935","layer":2},{"info":"number node, value=1490","layer":2},{"info":"compute binary expreesion, left_input=2935, right_input=1490, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-81090, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":6,"result_base":6,"text":"(↹⩛52401⩺⪪↹⩛13245)⋥≓≎(↹⩛21331∲⫓↹⩛10522)=↹⩛151","reverse_text":"↹⩛151=(↹⩛52401⩺⪪↹⩛13245)⋥≓≎(↹⩛21331∲⫓↹⩛10522)","cot":[{"info":"↹⩛52401⩺⪪↹⩛13245=↹⩛-1423230","layer":1},{"info":"↹⩛21331∲⫓↹⩛10522=↹⩛0","layer":1},{"info":"↹⩛-1423230⋥≓≎↹⩛0=↹⩛151","layer":0}]}
{"id":17,"expression_no_base_symbol":"($5049$⪣⫩)⇮⋭$3954$⪟⇏$9585$","expression":"(↹⩛35213⪣⫩)⇮⋭↹⩛30150⪟⇏↹⩛112213","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":84,"operation_count":3,"complexity_ratio":28.0,"tree":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":5049,"base":6}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":3954,"base":6},"right_expr":{"type":"numeric_atoms","value":9585,"base":6}}},"used_operators":["vkpjKywKVM","iuk5sVOGFA","GODebY97qR"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"↹⩛1224","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5049","layer":2},{"info":"compute unary expreesion, input=5049, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=15114","layer":1},{"info":"number node, value=3954","layer":2},{"info":"number node, value=9585","layer":2},{"info":"compute binary expreesion, left_input=3954, right_input=9585, 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=15114, right_input=-1, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=304","layer":0}],"base":6,"result_base":6,"text":"(↹⩛35213⪣⫩)⇮⋭↹⩛30150⪟⇏↹⩛112213=↹⩛1224","reverse_text":"↹⩛1224=(↹⩛35213⪣⫩)⇮⋭↹⩛30150⪟⇏↹⩛112213","cot":[{"info":"↹⩛35213⪣⫩=↹⩛153550","layer":1},{"info":"↹⩛30150⪟⇏↹⩛112213=↹⩛-1","layer":1},{"info":"↹⩛153550⇮⋭↹⩛-1=↹⩛1224","layer":0}]}
{"id":18,"expression_no_base_symbol":"$5381$≦↸$2029$⩼⇪↪(⫓⪴$1454$)","expression":"↹⩛40525≦↸↹⩛13221⩼⇪↪(⫓⪴↹⩛10422)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1487,"operation_count":3,"complexity_ratio":495.6666666666667,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":5381,"base":6},"right_expr":{"type":"numeric_atoms","value":2029,"base":6}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1454,"base":6}}},"used_operators":["ocnLzx9CaJ","RygbFNSyEJ","eLxqMNBOBk"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","9HNa5Wba9A"],"result":"↹⩛-1245451321","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5381","layer":2},{"info":"number node, value=2029","layer":2},{"info":"compute binary expreesion, left_input=5381, right_input=2029, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-14139","layer":1},{"info":"number node, value=1454","layer":2},{"info":"compute unary expreesion, input=1454, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2114116","layer":1},{"info":"compute binary expreesion, left_input=-14139, right_input=2114116, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-14827873","layer":0}],"base":6,"result_base":6,"text":"↹⩛40525≦↸↹⩛13221⩼⇪↪(⫓⪴↹⩛10422)=↹⩛-1245451321","reverse_text":"↹⩛-1245451321=↹⩛40525≦↸↹⩛13221⩼⇪↪(⫓⪴↹⩛10422)","cot":[{"info":"↹⩛40525≦↸↹⩛13221=↹⩛-145243","layer":1},{"info":"⫓⪴↹⩛10422=↹⩛113151324","layer":1},{"info":"↹⩛-145243⩼⇪↪↹⩛113151324=↹⩛-1245451321","layer":0}]}
{"id":19,"expression_no_base_symbol":"($2014$⩒⫫$3796$)∓⋝$5197$⨂≜$1972$","expression":"(↹⩛13154⩒⫫↹⩛25324)∓⋝↹⩛40021⨂≜↹⩛13044","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5290,"operation_count":3,"complexity_ratio":1763.3333333333333,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2014,"base":6},"right_expr":{"type":"numeric_atoms","value":3796,"base":6}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":5197,"base":6},"right_expr":{"type":"numeric_atoms","value":1972,"base":6}}},"used_operators":["PoHhknlbAi","KFSx94NKJn","k1SHOSEABc"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2014","layer":2},{"info":"number node, value=3796","layer":2},{"info":"compute binary expreesion, left_input=2014, right_input=3796, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1712","layer":1},{"info":"number node, value=5197","layer":2},{"info":"number node, value=1972","layer":2},{"info":"compute binary expreesion, left_input=5197, right_input=1972, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1712, right_input=nan, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":0}],"base":6,"result_base":6,"text":"(↹⩛13154⩒⫫↹⩛25324)∓⋝↹⩛40021⨂≜↹⩛13044=↹⩛151","reverse_text":"↹⩛151=(↹⩛13154⩒⫫↹⩛25324)∓⋝↹⩛40021⨂≜↹⩛13044","cot":[{"info":"↹⩛13154⩒⫫↹⩛25324=↹⩛11532","layer":1},{"info":"↹⩛40021⨂≜↹⩛13044=NaN","layer":1},{"info":"↹⩛11532∓⋝NaN=↹⩛151","layer":0}]}
{"id":20,"expression_no_base_symbol":"$3595$≚⊃≕$1018$↺(≛$8455$)","expression":"↹⩛24351≚⊃≕↹⩛4414↺(≛↹⩛103051)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":44,"operation_count":3,"complexity_ratio":14.666666666666666,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":3595,"base":6},"right_expr":{"type":"numeric_atoms","value":1018,"base":6}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":8455,"base":6}}},"used_operators":["7j4O788W3g","Bmrmz2XGnR","W7eaUhjymW"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C"],"result":"↹⩛-14","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3595","layer":2},{"info":"number node, value=1018","layer":2},{"info":"compute binary expreesion, left_input=3595, right_input=1018, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":1},{"info":"number node, value=8455","layer":2},{"info":"compute unary expreesion, input=8455, 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=67, right_input=-10, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-10","layer":0}],"base":6,"result_base":6,"text":"↹⩛24351≚⊃≕↹⩛4414↺(≛↹⩛103051)=↹⩛-14","reverse_text":"↹⩛-14=↹⩛24351≚⊃≕↹⩛4414↺(≛↹⩛103051)","cot":[{"info":"↹⩛24351≚⊃≕↹⩛4414=↹⩛151","layer":1},{"info":"≛↹⩛103051=↹⩛-14","layer":1},{"info":"↹⩛151↺↹⩛-14=↹⩛-14","layer":0}]}
{"id":21,"expression_no_base_symbol":"$3310$⊬⨰$6119$⋥≓≎$4628$≳⇉$2947$","expression":"↹⩛23154⊬⨰↹⩛44155⋥≓≎↹⩛33232≳⇉↹⩛21351","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":124541905,"operation_count":3,"complexity_ratio":41513968.333333336,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":3310,"base":6},"right_expr":{"type":"numeric_atoms","value":6119,"base":6}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":4628,"base":6},"right_expr":{"type":"numeric_atoms","value":2947,"base":6}}},"used_operators":["Qy55tPpLXF","s3Fd5m9Dh2","V0kx6qeWkN"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3310","layer":2},{"info":"number node, value=6119","layer":2},{"info":"compute binary expreesion, left_input=3310, right_input=6119, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=26730","layer":1},{"info":"number node, value=4628","layer":2},{"info":"number node, value=2947","layer":2},{"info":"compute binary expreesion, left_input=4628, right_input=2947, 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=26730, 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":6,"result_base":6,"text":"↹⩛23154⊬⨰↹⩛44155⋥≓≎↹⩛33232≳⇉↹⩛21351=NaN","reverse_text":"NaN=↹⩛23154⊬⨰↹⩛44155⋥≓≎↹⩛33232≳⇉↹⩛21351","cot":[{"info":"↹⩛23154⊬⨰↹⩛44155=↹⩛323430","layer":1},{"info":"↹⩛33232≳⇉↹⩛21351=NaN","layer":1},{"info":"↹⩛323430⋥≓≎NaN=NaN","layer":0}]}
{"id":22,"expression_no_base_symbol":"⫎≠⋺($2030$⊹∫⫚$2669$)","expression":"⫎≠⋺(↹⩛13222⊹∫⫚↹⩛20205)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":48,"operation_count":2,"complexity_ratio":24.0,"tree":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2030,"base":6},"right_expr":{"type":"numeric_atoms","value":2669,"base":6}}},"used_operators":["LYeZOJ0nQG","uWAJUKEvyW"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"↹⩛-3141","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2030","layer":2},{"info":"number node, value=2669","layer":2},{"info":"compute binary expreesion, left_input=2030, right_input=2669, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-16","layer":1},{"info":"compute unary expreesion, input=-16, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":0}],"base":6,"result_base":6,"text":"⫎≠⋺(↹⩛13222⊹∫⫚↹⩛20205)=↹⩛-3141","reverse_text":"↹⩛-3141=⫎≠⋺(↹⩛13222⊹∫⫚↹⩛20205)","cot":[{"info":"↹⩛13222⊹∫⫚↹⩛20205=↹⩛-24","layer":1},{"info":"⫎≠⋺↹⩛-24=↹⩛-3141","layer":0}]}
{"id":23,"expression_no_base_symbol":"(≑⋹$3155$)⩹$5315$∘$1459$","expression":"(≑⋹↹⩛22335)⩹↹⩛40335∘↹⩛10431","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":121,"operation_count":3,"complexity_ratio":40.333333333333336,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":3155,"base":6}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":5315,"base":6},"right_expr":{"type":"numeric_atoms","value":1459,"base":6}}},"used_operators":["2Wsdkap16l","6B9nyZLogK","Z5m6OM72h2"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","eH2TOUuTDT","rysDP5nf3Z"],"result":"↹⩛121112","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3155","layer":2},{"info":"compute unary expreesion, input=3155, 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":"number node, value=5315","layer":2},{"info":"number node, value=1459","layer":2},{"info":"compute binary expreesion, left_input=5315, right_input=1459, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=10630","layer":1},{"info":"compute binary expreesion, left_input=1650, right_input=10630, 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=10628","layer":0}],"base":6,"result_base":6,"text":"(≑⋹↹⩛22335)⩹↹⩛40335∘↹⩛10431=↹⩛121112","reverse_text":"↹⩛121112=(≑⋹↹⩛22335)⩹↹⩛40335∘↹⩛10431","cot":[{"info":"≑⋹↹⩛22335=↹⩛11350","layer":1},{"info":"↹⩛40335∘↹⩛10431=↹⩛121114","layer":1},{"info":"↹⩛11350⩹↹⩛121114=↹⩛121112","layer":0}]}
{"id":24,"expression_no_base_symbol":"⩦⊞$2572$∊∟⩊$6105$","expression":"⩦⊞↹⩛15524∊∟⩊↹⩛44133","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":2572,"base":6},"right_expr":{"type":"numeric_atoms","value":6105,"base":6}}},"used_operators":["u7fv1HBiaC","ddLRYrp01A"],"dependent_operators":["eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU"],"result":"↹⩛-43000","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2572","layer":2},{"info":"number node, value=6105","layer":2},{"info":"compute binary expreesion, left_input=2572, right_input=6105, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=6105","layer":1},{"info":"compute unary expreesion, input=6105, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-5832","layer":0}],"base":6,"result_base":6,"text":"⩦⊞↹⩛15524∊∟⩊↹⩛44133=↹⩛-43000","reverse_text":"↹⩛-43000=⩦⊞↹⩛15524∊∟⩊↹⩛44133","cot":[{"info":"↹⩛15524∊∟⩊↹⩛44133=↹⩛44133","layer":1},{"info":"⩦⊞↹⩛44133=↹⩛-43000","layer":0}]}
{"id":25,"expression_no_base_symbol":"(⇜$1177$)∽(⊄⩳↩$6289$)","expression":"(⇜↹⩛5241)∽(⊄⩳↩↹⩛45041)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":333,"operation_count":3,"complexity_ratio":111.0,"tree":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":1177,"base":6}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":6289,"base":6}}},"used_operators":["y4ImoPnbV5","lFBm8KRb8F","8w2t5hMYqp"],"dependent_operators":["NTOWxs364D","QMFrweE19q","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛2134135","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1177","layer":2},{"info":"compute unary expreesion, input=1177, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-9824","layer":1},{"info":"number node, value=6289","layer":2},{"info":"compute unary expreesion, input=6289, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-18867","layer":1},{"info":"compute binary expreesion, left_input=-9824, right_input=-18867, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=105899","layer":0}],"base":6,"result_base":6,"text":"(⇜↹⩛5241)∽(⊄⩳↩↹⩛45041)=↹⩛2134135","reverse_text":"↹⩛2134135=(⇜↹⩛5241)∽(⊄⩳↩↹⩛45041)","cot":[{"info":"⇜↹⩛5241=↹⩛-113252","layer":1},{"info":"⊄⩳↩↹⩛45041=↹⩛-223203","layer":1},{"info":"↹⩛-113252∽↹⩛-223203=↹⩛2134135","layer":0}]}
{"id":26,"expression_no_base_symbol":"$5537$⊴$1503$⨻⩈⩔($2738$⨀⨒)","expression":"↹⩛41345⊴↹⩛10543⨻⩈⩔(↹⩛20402⨀⨒)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2633,"operation_count":3,"complexity_ratio":877.6666666666666,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5537,"base":6},"right_expr":{"type":"numeric_atoms","value":1503,"base":6}},"right_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":2738,"base":6}}},"used_operators":["nEsXyWgiOK","Nsiff2A1zJ","j6NVkjMzuk"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","dWAJyo7jo9","14qkJME0vr","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5537","layer":2},{"info":"number node, value=1503","layer":2},{"info":"compute binary expreesion, left_input=5537, right_input=1503, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=2738","layer":2},{"info":"compute unary expreesion, input=2738, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=35064","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=35064, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛41345⊴↹⩛10543⨻⩈⩔(↹⩛20402⨀⨒)=NaN","reverse_text":"NaN=↹⩛41345⊴↹⩛10543⨻⩈⩔(↹⩛20402⨀⨒)","cot":[{"info":"↹⩛41345⊴↹⩛10543=NaN","layer":1},{"info":"↹⩛20402⨀⨒=↹⩛430200","layer":1},{"info":"NaN⨻⩈⩔↹⩛430200=NaN","layer":0}]}
{"id":27,"expression_no_base_symbol":"$3062$⨑⩅≇$1247$⨫⇇↔(⨈⪑$2067$)","expression":"↹⩛22102⨑⩅≇↹⩛5435⨫⇇↔(⨈⪑↹⩛13323)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1391,"operation_count":3,"complexity_ratio":463.6666666666667,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3062,"base":6},"right_expr":{"type":"numeric_atoms","value":1247,"base":6}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":2067,"base":6}}},"used_operators":["LXhwmt4mBO","h92wMvzauj","mp94q5OcYM"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI"],"result":"↹⩛-2235","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3062","layer":2},{"info":"number node, value=1247","layer":2},{"info":"compute binary expreesion, left_input=3062, right_input=1247, 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=-9186","layer":1},{"info":"number node, value=2067","layer":2},{"info":"compute unary expreesion, input=2067, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=-9186, right_input=868, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":6,"result_base":6,"text":"↹⩛22102⨑⩅≇↹⩛5435⨫⇇↔(⨈⪑↹⩛13323)=↹⩛-2235","reverse_text":"↹⩛-2235=↹⩛22102⨑⩅≇↹⩛5435⨫⇇↔(⨈⪑↹⩛13323)","cot":[{"info":"↹⩛22102⨑⩅≇↹⩛5435=↹⩛-110310","layer":1},{"info":"⨈⪑↹⩛13323=↹⩛4004","layer":1},{"info":"↹⩛-110310⨫⇇↔↹⩛4004=↹⩛-2235","layer":0}]}
{"id":28,"expression_no_base_symbol":"$1604$⪨⊡$1105$⊋≦⊧($1500$⪘⨀)","expression":"↹⩛11232⪨⊡↹⩛5041⊋≦⊧(↹⩛10540⪘⨀)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":55,"operation_count":3,"complexity_ratio":18.333333333333332,"tree":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1604,"base":6},"right_expr":{"type":"numeric_atoms","value":1105,"base":6}},"right_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":1500,"base":6}}},"used_operators":["oRDoc9rAEX","kuIXHzHcAH","aA7tF3KVD3"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA"],"result":"↹⩛520","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1604","layer":2},{"info":"number node, value=1105","layer":2},{"info":"compute binary expreesion, left_input=1604, right_input=1105, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=1500","layer":2},{"info":"compute unary expreesion, input=1500, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-3581","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-3581, 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":6,"result_base":6,"text":"↹⩛11232⪨⊡↹⩛5041⊋≦⊧(↹⩛10540⪘⨀)=↹⩛520","reverse_text":"↹⩛520=↹⩛11232⪨⊡↹⩛5041⊋≦⊧(↹⩛10540⪘⨀)","cot":[{"info":"↹⩛11232⪨⊡↹⩛5041=↹⩛0","layer":1},{"info":"↹⩛10540⪘⨀=↹⩛-24325","layer":1},{"info":"↹⩛0⊋≦⊧↹⩛-24325=↹⩛520","layer":0}]}
{"id":29,"expression_no_base_symbol":"$5826$⪛⫼$6256$⪉⨛($4286$↸$6169$)","expression":"↹⩛42550⪛⫼↹⩛44544⪉⨛(↹⩛31502↸↹⩛44321)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4506,"operation_count":3,"complexity_ratio":1502.0,"tree":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":5826,"base":6},"right_expr":{"type":"numeric_atoms","value":6256,"base":6}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":4286,"base":6},"right_expr":{"type":"numeric_atoms","value":6169,"base":6}}},"used_operators":["EWw2JM7wp4","hyuBjUqXlG","1eCjFl0mb9"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"↹⩛-5223","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5826","layer":2},{"info":"number node, value=6256","layer":2},{"info":"compute binary expreesion, left_input=5826, right_input=6256, 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=4286","layer":2},{"info":"number node, value=6169","layer":2},{"info":"compute binary expreesion, left_input=4286, right_input=6169, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=4286","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=4286, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-1167","layer":0}],"base":6,"result_base":6,"text":"↹⩛42550⪛⫼↹⩛44544⪉⨛(↹⩛31502↸↹⩛44321)=↹⩛-5223","reverse_text":"↹⩛-5223=↹⩛42550⪛⫼↹⩛44544⪉⨛(↹⩛31502↸↹⩛44321)","cot":[{"info":"↹⩛42550⪛⫼↹⩛44544=↹⩛4252","layer":1},{"info":"↹⩛31502↸↹⩛44321=↹⩛31502","layer":1},{"info":"↹⩛4252⪉⨛↹⩛31502=↹⩛-5223","layer":0}]}
{"id":30,"expression_no_base_symbol":"∤(∤$1212$)","expression":"∤(∤↹⩛5340)","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":16,"operation_count":2,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"∤","unary_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":1212,"base":6}}},"used_operators":["k2HlF1dBQh"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp"],"result":"↹⩛13","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1212","layer":2},{"info":"compute unary expreesion, input=1212, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":1},{"info":"compute unary expreesion, input=9, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":0}],"base":6,"result_base":6,"text":"∤(∤↹⩛5340)=↹⩛13","reverse_text":"↹⩛13=∤(∤↹⩛5340)","cot":[{"info":"∤↹⩛5340=↹⩛13","layer":1},{"info":"∤↹⩛13=↹⩛13","layer":0}]}
{"id":31,"expression_no_base_symbol":"⨦⪝(⋼∭⪍$1020$)","expression":"⨦⪝(⋼∭⪍↹⩛4420)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":42,"operation_count":2,"complexity_ratio":21.0,"tree":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":1020,"base":6}}},"used_operators":["SUjycxNXIR","DbCuESL50I"],"dependent_operators":["V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG"],"result":"↹⩛-12420","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1020","layer":2},{"info":"compute unary expreesion, input=1020, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-2340","layer":1},{"info":"compute unary expreesion, input=-2340, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":0}],"base":6,"result_base":6,"text":"⨦⪝(⋼∭⪍↹⩛4420)=↹⩛-12420","reverse_text":"↹⩛-12420=⨦⪝(⋼∭⪍↹⩛4420)","cot":[{"info":"⋼∭⪍↹⩛4420=↹⩛-14500","layer":1},{"info":"⨦⪝↹⩛-14500=↹⩛-12420","layer":0}]}
{"id":32,"expression_no_base_symbol":"⫶⊄≣$3358$⪃⊛⇣$8121$","expression":"⫶⊄≣↹⩛23314⪃⊛⇣↹⩛101333","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1833,"operation_count":2,"complexity_ratio":916.5,"tree":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":3358,"base":6},"right_expr":{"type":"numeric_atoms","value":8121,"base":6}}},"used_operators":["wxb3vTeyAj","rrgAzCduG9"],"dependent_operators":["eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"↹⩛2415515501","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3358","layer":2},{"info":"number node, value=8121","layer":2},{"info":"compute binary expreesion, left_input=3358, right_input=8121, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"compute unary expreesion, input=1234, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=27428509","layer":0}],"base":6,"result_base":6,"text":"⫶⊄≣↹⩛23314⪃⊛⇣↹⩛101333=↹⩛2415515501","reverse_text":"↹⩛2415515501=⫶⊄≣↹⩛23314⪃⊛⇣↹⩛101333","cot":[{"info":"↹⩛23314⪃⊛⇣↹⩛101333=↹⩛5414","layer":1},{"info":"⫶⊄≣↹⩛5414=↹⩛2415515501","layer":0}]}
{"id":33,"expression_no_base_symbol":"⇘(↨$2494$)","expression":"⇘(↨↹⩛15314)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":233,"operation_count":2,"complexity_ratio":116.5,"tree":{"type":"unary","operator":"⇘","unary_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":2494,"base":6}}},"used_operators":["MGuIdZPyUC","jiX4gk2v2Q"],"dependent_operators":["eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","rGHVDoGpnC","oZj3VtZNQx"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2494","layer":2},{"info":"compute unary expreesion, input=2494, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉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":6,"result_base":6,"text":"⇘(↨↹⩛15314)=NaN","reverse_text":"NaN=⇘(↨↹⩛15314)","cot":[{"info":"↨↹⩛15314=NaN","layer":1},{"info":"⇘NaN=NaN","layer":0}]}
{"id":34,"expression_no_base_symbol":"($5620$≒∊$3152$)⫞⩸⩒($2598$⨽⪊≇)","expression":"(↹⩛42004≒∊↹⩛22332)⫞⩸⩒(↹⩛20010⨽⪊≇)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":17,"operation_count":3,"complexity_ratio":5.666666666666667,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":5620,"base":6},"right_expr":{"type":"numeric_atoms","value":3152,"base":6}},"right_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"numeric_atoms","value":2598,"base":6}}},"used_operators":["XGcMNugi78","5KTvxBwnZo","nlCqmYiOvY"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY"],"result":"↹⩛-35440","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5620","layer":2},{"info":"number node, value=3152","layer":2},{"info":"compute binary expreesion, left_input=5620, right_input=3152, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-5136","layer":1},{"info":"number node, value=2598","layer":2},{"info":"compute unary expreesion, input=2598, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=4670","layer":1},{"info":"compute binary expreesion, left_input=-5136, right_input=4670, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-5136","layer":0}],"base":6,"result_base":6,"text":"(↹⩛42004≒∊↹⩛22332)⫞⩸⩒(↹⩛20010⨽⪊≇)=↹⩛-35440","reverse_text":"↹⩛-35440=(↹⩛42004≒∊↹⩛22332)⫞⩸⩒(↹⩛20010⨽⪊≇)","cot":[{"info":"↹⩛42004≒∊↹⩛22332=↹⩛-35440","layer":1},{"info":"↹⩛20010⨽⪊≇=↹⩛33342","layer":1},{"info":"↹⩛-35440⫞⩸⩒↹⩛33342=↹⩛-35440","layer":0}]}
{"id":35,"expression_no_base_symbol":"(⊊≼∋$7178$)⪊≅","expression":"(⊊≼∋↹⩛53122)⪊≅","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7217,"operation_count":2,"complexity_ratio":3608.5,"tree":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":7178,"base":6}}},"used_operators":["bjFbhXSADs","FWz7pXsQhA"],"dependent_operators":["COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","B5M0gjZbta","jCPkEVoL5K"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=7178","layer":2},{"info":"compute unary expreesion, input=7178, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":1},{"info":"compute unary expreesion, input=-447, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"(⊊≼∋↹⩛53122)⪊≅=↹⩛0","reverse_text":"↹⩛0=(⊊≼∋↹⩛53122)⪊≅","cot":[{"info":"⊊≼∋↹⩛53122=↹⩛-2023","layer":1},{"info":"↹⩛-2023⪊≅=↹⩛0","layer":0}]}
{"id":36,"expression_no_base_symbol":"↸⊣$1905$≌$1489$","expression":"↸⊣↹⩛12453≌↹⩛10521","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1632,"operation_count":2,"complexity_ratio":816.0,"tree":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1905,"base":6},"right_expr":{"type":"numeric_atoms","value":1489,"base":6}}},"used_operators":["wztAlM01eG","lyWz822IDG"],"dependent_operators":["N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1905","layer":2},{"info":"number node, value=1489","layer":2},{"info":"compute binary expreesion, left_input=1905, right_input=1489, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↸⊣↹⩛12453≌↹⩛10521=NaN","reverse_text":"NaN=↸⊣↹⩛12453≌↹⩛10521","cot":[{"info":"↹⩛12453≌↹⩛10521=NaN","layer":1},{"info":"↸⊣NaN=NaN","layer":0}]}
{"id":37,"expression_no_base_symbol":"($3531$⨰$7347$)⋥⋵⩄$5945$↹⊜$1453$","expression":"(↹⩛24203⨰↹⩛54003)⋥⋵⩄↹⩛43305↹⊜↹⩛10421","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":54,"operation_count":3,"complexity_ratio":18.0,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3531,"base":6},"right_expr":{"type":"numeric_atoms","value":7347,"base":6}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":5945,"base":6},"right_expr":{"type":"numeric_atoms","value":1453,"base":6}}},"used_operators":["7t3wd0Fuz7","eewbuw0ToL","9bazX3JMtO"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"↹⩛305","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3531","layer":2},{"info":"number node, value=7347","layer":2},{"info":"compute binary expreesion, left_input=3531, right_input=7347, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3806","layer":1},{"info":"number node, value=5945","layer":2},{"info":"number node, value=1453","layer":2},{"info":"compute binary expreesion, left_input=5945, right_input=1453, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=5982","layer":1},{"info":"compute binary expreesion, left_input=-3806, right_input=5982, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":0}],"base":6,"result_base":6,"text":"(↹⩛24203⨰↹⩛54003)⋥⋵⩄↹⩛43305↹⊜↹⩛10421=↹⩛305","reverse_text":"↹⩛305=(↹⩛24203⨰↹⩛54003)⋥⋵⩄↹⩛43305↹⊜↹⩛10421","cot":[{"info":"↹⩛24203⨰↹⩛54003=↹⩛-25342","layer":1},{"info":"↹⩛43305↹⊜↹⩛10421=↹⩛43410","layer":1},{"info":"↹⩛-25342⋥⋵⩄↹⩛43410=↹⩛305","layer":0}]}
{"id":38,"expression_no_base_symbol":"($2130$⇮⋭$3260$)⩁⩘($5124$⨐⩸⫘$4864$)","expression":"(↹⩛13510⇮⋭↹⩛23032)⩁⩘(↹⩛35420⨐⩸⫘↹⩛34304)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":69,"operation_count":3,"complexity_ratio":23.0,"tree":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2130,"base":6},"right_expr":{"type":"numeric_atoms","value":3260,"base":6}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5124,"base":6},"right_expr":{"type":"numeric_atoms","value":4864,"base":6}}},"used_operators":["gub5Cegaqo","vkpjKywKVM","fu6greOZ01"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2130","layer":2},{"info":"number node, value=3260","layer":2},{"info":"compute binary expreesion, left_input=2130, right_input=3260, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":1},{"info":"number node, value=5124","layer":2},{"info":"number node, value=4864","layer":2},{"info":"compute binary expreesion, left_input=5124, right_input=4864, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-473, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛13510⇮⋭↹⩛23032)⩁⩘(↹⩛35420⨐⩸⫘↹⩛34304)=NaN","reverse_text":"NaN=(↹⩛13510⇮⋭↹⩛23032)⩁⩘(↹⩛35420⨐⩸⫘↹⩛34304)","cot":[{"info":"↹⩛13510⇮⋭↹⩛23032=↹⩛-2105","layer":1},{"info":"↹⩛35420⨐⩸⫘↹⩛34304=NaN","layer":1},{"info":"↹⩛-2105⩁⩘NaN=NaN","layer":0}]}
{"id":39,"expression_no_base_symbol":"(↘$4798$)≭$1065$⋥⋵⩄$1353$","expression":"(↘↹⩛34114)≭↹⩛4533⋥⋵⩄↹⩛10133","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":41,"operation_count":3,"complexity_ratio":13.666666666666666,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":4798,"base":6}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1065,"base":6},"right_expr":{"type":"numeric_atoms","value":1353,"base":6}}},"used_operators":["rxpJgHHUmx","LdNpr8hQHL","7t3wd0Fuz7"],"dependent_operators":["AHs5Up7iyr","uFcxV4UQCh","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4798","layer":2},{"info":"compute unary expreesion, input=4798, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=94","layer":1},{"info":"number node, value=1065","layer":2},{"info":"number node, value=1353","layer":2},{"info":"compute binary expreesion, left_input=1065, right_input=1353, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=94, right_input=113, 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":6,"result_base":6,"text":"(↘↹⩛34114)≭↹⩛4533⋥⋵⩄↹⩛10133=NaN","reverse_text":"NaN=(↘↹⩛34114)≭↹⩛4533⋥⋵⩄↹⩛10133","cot":[{"info":"↘↹⩛34114=↹⩛234","layer":1},{"info":"↹⩛4533⋥⋵⩄↹⩛10133=↹⩛305","layer":1},{"info":"↹⩛234≭↹⩛305=NaN","layer":0}]}
{"id":40,"expression_no_base_symbol":"$5107$⪎↠$6858$⨪↰⇹(⇵⪽$2184$)","expression":"↹⩛35351⪎↠↹⩛51430⨪↰⇹(⇵⪽↹⩛14040)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":171,"operation_count":3,"complexity_ratio":57.0,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":5107,"base":6},"right_expr":{"type":"numeric_atoms","value":6858,"base":6}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":2184,"base":6}}},"used_operators":["tmPS8pqC7x","3tVxb0NHM4","ZGCBLdVRRX"],"dependent_operators":["rJVOvQCfKK","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","U7g4x0WXJJ"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5107","layer":2},{"info":"number node, value=6858","layer":2},{"info":"compute binary expreesion, left_input=5107, right_input=6858, 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=2184","layer":2},{"info":"compute unary expreesion, input=2184, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=160","layer":0}],"base":6,"result_base":6,"text":"↹⩛35351⪎↠↹⩛51430⨪↰⇹(⇵⪽↹⩛14040)=↹⩛424","reverse_text":"↹⩛424=↹⩛35351⪎↠↹⩛51430⨪↰⇹(⇵⪽↹⩛14040)","cot":[{"info":"↹⩛35351⪎↠↹⩛51430=↹⩛424","layer":1},{"info":"⇵⪽↹⩛14040=NaN","layer":1},{"info":"↹⩛424⨪↰⇹NaN=↹⩛424","layer":0}]}
{"id":41,"expression_no_base_symbol":"$1540$⩖⊿$1098$⊉≛↸$2794$⩚⊴⇥$5567$","expression":"↹⩛11044⩖⊿↹⩛5030⊉≛↸↹⩛20534⩚⊴⇥↹⩛41435","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34,"operation_count":3,"complexity_ratio":11.333333333333334,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1540,"base":6},"right_expr":{"type":"numeric_atoms","value":1098,"base":6}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2794,"base":6},"right_expr":{"type":"numeric_atoms","value":5567,"base":6}}},"used_operators":["DZ8iAZOCBD","RZ5CV9rWsJ","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"↹⩛35312","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1540","layer":2},{"info":"number node, value=1098","layer":2},{"info":"compute binary expreesion, left_input=1540, right_input=1098, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=2542","layer":1},{"info":"number node, value=2794","layer":2},{"info":"number node, value=5567","layer":2},{"info":"compute binary expreesion, left_input=2794, right_input=5567, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8482","layer":1},{"info":"compute binary expreesion, left_input=2542, right_input=-8482, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5084","layer":0}],"base":6,"result_base":6,"text":"↹⩛11044⩖⊿↹⩛5030⊉≛↸↹⩛20534⩚⊴⇥↹⩛41435=↹⩛35312","reverse_text":"↹⩛35312=↹⩛11044⩖⊿↹⩛5030⊉≛↸↹⩛20534⩚⊴⇥↹⩛41435","cot":[{"info":"↹⩛11044⩖⊿↹⩛5030=↹⩛15434","layer":1},{"info":"↹⩛20534⩚⊴⇥↹⩛41435=↹⩛-103134","layer":1},{"info":"↹⩛15434⊉≛↸↹⩛-103134=↹⩛35312","layer":0}]}
{"id":42,"expression_no_base_symbol":"⩦⩻⨪(⩷$3958$)","expression":"⩦⩻⨪(⩷↹⩛30154)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":20,"operation_count":2,"complexity_ratio":10.0,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":3958,"base":6}}},"used_operators":["2td37pGCOC","1h0rLqGiFr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","7j4O788W3g"],"result":"↹⩛-1004131","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3958","layer":2},{"info":"compute unary expreesion, input=3958, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-47575","layer":1},{"info":"compute unary expreesion, input=-47575, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-47575","layer":0}],"base":6,"result_base":6,"text":"⩦⩻⨪(⩷↹⩛30154)=↹⩛-1004131","reverse_text":"↹⩛-1004131=⩦⩻⨪(⩷↹⩛30154)","cot":[{"info":"⩷↹⩛30154=↹⩛-1004131","layer":1},{"info":"⩦⩻⨪↹⩛-1004131=↹⩛-1004131","layer":0}]}
{"id":43,"expression_no_base_symbol":"($1297$⨎⋸⪻)≬⇓$4572$⇌⫙⪟$4658$","expression":"(↹⩛10001⨎⋸⪻)≬⇓↹⩛33100⇌⫙⪟↹⩛33322","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"numeric_atoms","value":1297,"base":6}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":4572,"base":6},"right_expr":{"type":"numeric_atoms","value":4658,"base":6}}},"used_operators":["jWTQ2TZYIH","Dk5vyLCiGd","AFVx7xoS7T"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","IWmyXbctLI","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"↹⩛-34","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1297","layer":2},{"info":"compute unary expreesion, input=1297, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=2910","layer":1},{"info":"number node, value=4572","layer":2},{"info":"number node, value=4658","layer":2},{"info":"compute binary expreesion, left_input=4572, right_input=4658, 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=2910, right_input=113, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10001⨎⋸⪻)≬⇓↹⩛33100⇌⫙⪟↹⩛33322=↹⩛-34","reverse_text":"↹⩛-34=(↹⩛10001⨎⋸⪻)≬⇓↹⩛33100⇌⫙⪟↹⩛33322","cot":[{"info":"↹⩛10001⨎⋸⪻=↹⩛21250","layer":1},{"info":"↹⩛33100⇌⫙⪟↹⩛33322=↹⩛305","layer":1},{"info":"↹⩛21250≬⇓↹⩛305=↹⩛-34","layer":0}]}
{"id":44,"expression_no_base_symbol":"≀↧⇸$1995$⊉↱≁$3707$","expression":"≀↧⇸↹⩛13123⊉↱≁↹⩛25055","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":28,"operation_count":2,"complexity_ratio":14.0,"tree":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1995,"base":6},"right_expr":{"type":"numeric_atoms","value":3707,"base":6}}},"used_operators":["ljTHtUsqzn","w2P8NbNXyL"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"↹⩛143024","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1995","layer":2},{"info":"number node, value=3707","layer":2},{"info":"compute binary expreesion, left_input=1995, right_input=3707, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-3406","layer":1},{"info":"compute unary expreesion, input=-3406, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=13624","layer":0}],"base":6,"result_base":6,"text":"≀↧⇸↹⩛13123⊉↱≁↹⩛25055=↹⩛143024","reverse_text":"↹⩛143024=≀↧⇸↹⩛13123⊉↱≁↹⩛25055","cot":[{"info":"↹⩛13123⊉↱≁↹⩛25055=↹⩛-23434","layer":1},{"info":"≀↧⇸↹⩛-23434=↹⩛143024","layer":0}]}
{"id":45,"expression_no_base_symbol":"(∑⇻≧$3108$)≠≀($4137$⇴$4402$)","expression":"(∑⇻≧↹⩛22220)≠≀(↹⩛31053⇴↹⩛32214)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29,"operation_count":3,"complexity_ratio":9.666666666666666,"tree":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":3108,"base":6}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":4137,"base":6},"right_expr":{"type":"numeric_atoms","value":4402,"base":6}}},"used_operators":["IwW236VD4Y","l1M9WJ3V7u","4JB6nKBMSY"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"↹⩛13150","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3108","layer":2},{"info":"compute unary expreesion, input=3108, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":1},{"info":"number node, value=4137","layer":2},{"info":"number node, value=4402","layer":2},{"info":"compute binary expreesion, left_input=4137, right_input=4402, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=33240","layer":1},{"info":"compute binary expreesion, left_input=-852, right_input=33240, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=2010","layer":0}],"base":6,"result_base":6,"text":"(∑⇻≧↹⩛22220)≠≀(↹⩛31053⇴↹⩛32214)=↹⩛13150","reverse_text":"↹⩛13150=(∑⇻≧↹⩛22220)≠≀(↹⩛31053⇴↹⩛32214)","cot":[{"info":"∑⇻≧↹⩛22220=↹⩛-3540","layer":1},{"info":"↹⩛31053⇴↹⩛32214=↹⩛413520","layer":1},{"info":"↹⩛-3540≠≀↹⩛413520=↹⩛13150","layer":0}]}
{"id":46,"expression_no_base_symbol":"($1387$∴$1213$)⨿($3389$⪔$3208$)","expression":"(↹⩛10231∴↹⩛5341)⨿(↹⩛23405⪔↹⩛22504)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3535,"operation_count":3,"complexity_ratio":1178.3333333333333,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1387,"base":6},"right_expr":{"type":"numeric_atoms","value":1213,"base":6}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":3389,"base":6},"right_expr":{"type":"numeric_atoms","value":3208,"base":6}}},"used_operators":["abYXlopdE0","hrf7POJlIJ","GjBEYRfMaF"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi"],"result":"↹⩛-1251","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1387","layer":2},{"info":"number node, value=1213","layer":2},{"info":"compute binary expreesion, left_input=1387, right_input=1213, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=4422","layer":1},{"info":"number node, value=3389","layer":2},{"info":"number node, value=3208","layer":2},{"info":"compute binary expreesion, left_input=3389, right_input=3208, 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=4422, right_input=450, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10231∴↹⩛5341)⨿(↹⩛23405⪔↹⩛22504)=↹⩛-1251","reverse_text":"↹⩛-1251=(↹⩛10231∴↹⩛5341)⨿(↹⩛23405⪔↹⩛22504)","cot":[{"info":"↹⩛10231∴↹⩛5341=↹⩛32250","layer":1},{"info":"↹⩛23405⪔↹⩛22504=↹⩛2030","layer":1},{"info":"↹⩛32250⨿↹⩛2030=↹⩛-1251","layer":0}]}
{"id":47,"expression_no_base_symbol":"$3487$⫞⩸⩒$1111$⫁($3454$⫡⨏$1909$)","expression":"↹⩛24051⫞⩸⩒↹⩛5051⫁(↹⩛23554⫡⨏↹⩛12501)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":119,"operation_count":3,"complexity_ratio":39.666666666666664,"tree":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":3487,"base":6},"right_expr":{"type":"numeric_atoms","value":1111,"base":6}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3454,"base":6},"right_expr":{"type":"numeric_atoms","value":1909,"base":6}}},"used_operators":["0ajvFaJAv0","XGcMNugi78","QMFrweE19q"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3487","layer":2},{"info":"number node, value=1111","layer":2},{"info":"compute binary expreesion, left_input=3487, right_input=1111, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1111","layer":1},{"info":"number node, value=3454","layer":2},{"info":"number node, value=1909","layer":2},{"info":"compute binary expreesion, left_input=3454, right_input=1909, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=21871","layer":1},{"info":"compute binary expreesion, left_input=1111, right_input=21871, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":6,"result_base":6,"text":"↹⩛24051⫞⩸⩒↹⩛5051⫁(↹⩛23554⫡⨏↹⩛12501)=↹⩛424","reverse_text":"↹⩛424=↹⩛24051⫞⩸⩒↹⩛5051⫁(↹⩛23554⫡⨏↹⩛12501)","cot":[{"info":"↹⩛24051⫞⩸⩒↹⩛5051=↹⩛5051","layer":1},{"info":"↹⩛23554⫡⨏↹⩛12501=↹⩛245131","layer":1},{"info":"↹⩛5051⫁↹⩛245131=↹⩛424","layer":0}]}
{"id":48,"expression_no_base_symbol":"(⩪∧⨌$3484$)⨵⪆(⪓⩚$1707$)","expression":"(⩪∧⨌↹⩛24044)⨵⪆(⪓⩚↹⩛11523)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3375,"operation_count":3,"complexity_ratio":1125.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":3484,"base":6}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":1707,"base":6}}},"used_operators":["2DQ55sFlQl","6iOiAJX1F8","u0R0Locfp2"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3484","layer":2},{"info":"compute unary expreesion, input=3484, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=34840","layer":1},{"info":"number node, value=1707","layer":2},{"info":"compute unary expreesion, input=1707, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":1},{"info":"compute binary expreesion, left_input=34840, right_input=426, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":6,"result_base":6,"text":"(⩪∧⨌↹⩛24044)⨵⪆(⪓⩚↹⩛11523)=↹⩛424","reverse_text":"↹⩛424=(⩪∧⨌↹⩛24044)⨵⪆(⪓⩚↹⩛11523)","cot":[{"info":"⩪∧⨌↹⩛24044=↹⩛425144","layer":1},{"info":"⪓⩚↹⩛11523=↹⩛1550","layer":1},{"info":"↹⩛425144⨵⪆↹⩛1550=↹⩛424","layer":0}]}
{"id":49,"expression_no_base_symbol":"$2926$≥⨤⩑$7482$≓∲($1509$⩉⊫⨁)","expression":"↹⩛21314≥⨤⩑↹⩛54350≓∲(↹⩛10553⩉⊫⨁)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":61,"operation_count":3,"complexity_ratio":20.333333333333332,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2926,"base":6},"right_expr":{"type":"numeric_atoms","value":7482,"base":6}},"right_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":1509,"base":6}}},"used_operators":["s1XTVnmDOJ","gJLn6v0xnP","7qqUquhhSb"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","7j4O788W3g"],"result":"↹⩛140431","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2926","layer":2},{"info":"number node, value=7482","layer":2},{"info":"compute binary expreesion, left_input=2926, right_input=7482, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"number node, value=1509","layer":2},{"info":"compute unary expreesion, input=1509, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=1509","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=1509, 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=13123","layer":0}],"base":6,"result_base":6,"text":"↹⩛21314≥⨤⩑↹⩛54350≓∲(↹⩛10553⩉⊫⨁)=↹⩛140431","reverse_text":"↹⩛140431=↹⩛21314≥⨤⩑↹⩛54350≓∲(↹⩛10553⩉⊫⨁)","cot":[{"info":"↹⩛21314≥⨤⩑↹⩛54350=↹⩛5414","layer":1},{"info":"↹⩛10553⩉⊫⨁=↹⩛10553","layer":1},{"info":"↹⩛5414≓∲↹⩛10553=↹⩛140431","layer":0}]}
{"id":50,"expression_no_base_symbol":"(≯$2869$)≁↽≥(⇠$3722$)","expression":"(≯↹⩛21141)≁↽≥(⇠↹⩛25122)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3530,"operation_count":3,"complexity_ratio":1176.6666666666667,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":2869,"base":6}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":3722,"base":6}}},"used_operators":["ncHt1X6cMc","keWfFq85dY","18saOjeKKm"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","g55IO6H4Gj","JLbD19bQDL","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx"],"result":"↹⩛524","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2869","layer":2},{"info":"compute unary expreesion, input=2869, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=3722","layer":2},{"info":"compute unary expreesion, input=3722, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-3480","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-3480, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":0}],"base":6,"result_base":6,"text":"(≯↹⩛21141)≁↽≥(⇠↹⩛25122)=↹⩛524","reverse_text":"↹⩛524=(≯↹⩛21141)≁↽≥(⇠↹⩛25122)","cot":[{"info":"≯↹⩛21141=↹⩛0","layer":1},{"info":"⇠↹⩛25122=↹⩛-24040","layer":1},{"info":"↹⩛0≁↽≥↹⩛-24040=↹⩛524","layer":0}]}
{"id":51,"expression_no_base_symbol":"$1070$⪍↜⋙$4226$⩵∡$5364$⋛$3468$","expression":"↹⩛4542⪍↜⋙↹⩛31322⩵∡↹⩛40500⋛↹⩛24020","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":291,"operation_count":3,"complexity_ratio":97.0,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1070,"base":6},"right_expr":{"type":"numeric_atoms","value":4226,"base":6}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":5364,"base":6},"right_expr":{"type":"numeric_atoms","value":3468,"base":6}}},"used_operators":["Y7wcNGrDQJ","L05ObWFQCd","YbUVn0Rbpy"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"↹⩛-510254","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1070","layer":2},{"info":"number node, value=4226","layer":2},{"info":"compute binary expreesion, left_input=1070, right_input=4226, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-14585","layer":1},{"info":"number node, value=5364","layer":2},{"info":"number node, value=3468","layer":2},{"info":"compute binary expreesion, left_input=5364, right_input=3468, 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=-83916","layer":1},{"info":"compute binary expreesion, left_input=-14585, right_input=-83916, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-40282","layer":0}],"base":6,"result_base":6,"text":"↹⩛4542⪍↜⋙↹⩛31322⩵∡↹⩛40500⋛↹⩛24020=↹⩛-510254","reverse_text":"↹⩛-510254=↹⩛4542⪍↜⋙↹⩛31322⩵∡↹⩛40500⋛↹⩛24020","cot":[{"info":"↹⩛4542⪍↜⋙↹⩛31322=↹⩛-151305","layer":1},{"info":"↹⩛40500⋛↹⩛24020=↹⩛-1444300","layer":1},{"info":"↹⩛-151305⩵∡↹⩛-1444300=↹⩛-510254","layer":0}]}
{"id":52,"expression_no_base_symbol":"$2948$∴$3141$⫁⪎($2501$⊍⩺⋍$2715$)","expression":"↹⩛21352∴↹⩛22313⫁⪎(↹⩛15325⊍⩺⋍↹⩛20323)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":224,"operation_count":3,"complexity_ratio":74.66666666666667,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":2948,"base":6},"right_expr":{"type":"numeric_atoms","value":3141,"base":6}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2501,"base":6},"right_expr":{"type":"numeric_atoms","value":2715,"base":6}}},"used_operators":["xRrnTEsQ6j","hrf7POJlIJ","OXDGMFPWZM"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2948","layer":2},{"info":"number node, value=3141","layer":2},{"info":"compute binary expreesion, left_input=2948, right_input=3141, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=7544","layer":1},{"info":"number node, value=2501","layer":2},{"info":"number node, value=2715","layer":2},{"info":"compute binary expreesion, left_input=2501, right_input=2715, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=7544, 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":6,"result_base":6,"text":"↹⩛21352∴↹⩛22313⫁⪎(↹⩛15325⊍⩺⋍↹⩛20323)=NaN","reverse_text":"NaN=↹⩛21352∴↹⩛22313⫁⪎(↹⩛15325⊍⩺⋍↹⩛20323)","cot":[{"info":"↹⩛21352∴↹⩛22313=↹⩛54532","layer":1},{"info":"↹⩛15325⊍⩺⋍↹⩛20323=NaN","layer":1},{"info":"↹⩛54532⫁⪎NaN=NaN","layer":0}]}
{"id":53,"expression_no_base_symbol":"$2539$⊢$2466$≧⫂∧($5382$⨔≚≋$1409$)","expression":"↹⩛15431⊢↹⩛15230≧⫂∧(↹⩛40530⨔≚≋↹⩛10305)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":75,"operation_count":3,"complexity_ratio":25.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2539,"base":6},"right_expr":{"type":"numeric_atoms","value":2466,"base":6}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":5382,"base":6},"right_expr":{"type":"numeric_atoms","value":1409,"base":6}}},"used_operators":["Ph9nP6C5qx","5twsqlHp2o","Z57zeUYC9z"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"↹⩛111303","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2539","layer":2},{"info":"number node, value=2466","layer":2},{"info":"compute binary expreesion, left_input=2539, right_input=2466, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-5322","layer":1},{"info":"number node, value=5382","layer":2},{"info":"number node, value=1409","layer":2},{"info":"compute binary expreesion, left_input=5382, right_input=1409, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":1},{"info":"compute binary expreesion, left_input=-5322, right_input=9872, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=9399","layer":0}],"base":6,"result_base":6,"text":"↹⩛15431⊢↹⩛15230≧⫂∧(↹⩛40530⨔≚≋↹⩛10305)=↹⩛111303","reverse_text":"↹⩛111303=↹⩛15431⊢↹⩛15230≧⫂∧(↹⩛40530⨔≚≋↹⩛10305)","cot":[{"info":"↹⩛15431⊢↹⩛15230=↹⩛-40350","layer":1},{"info":"↹⩛40530⨔≚≋↹⩛10305=↹⩛113412","layer":1},{"info":"↹⩛-40350≧⫂∧↹⩛113412=↹⩛111303","layer":0}]}
{"id":54,"expression_no_base_symbol":"($1361$⫃⨇$1022$)⨓$2077$↬$1865$","expression":"(↹⩛10145⫃⨇↹⩛4422)⨓↹⩛13341↬↹⩛12345","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":20,"operation_count":3,"complexity_ratio":6.666666666666667,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1361,"base":6},"right_expr":{"type":"numeric_atoms","value":1022,"base":6}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2077,"base":6},"right_expr":{"type":"numeric_atoms","value":1865,"base":6}}},"used_operators":["3ViojmjbAp","09Ly4LVMIf","B5M0gjZbta"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1361","layer":2},{"info":"number node, value=1022","layer":2},{"info":"compute binary expreesion, left_input=1361, right_input=1022, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4120","layer":1},{"info":"number node, value=2077","layer":2},{"info":"number node, value=1865","layer":2},{"info":"compute binary expreesion, left_input=2077, right_input=1865, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬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=-4120, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10145⫃⨇↹⩛4422)⨓↹⩛13341↬↹⩛12345=NaN","reverse_text":"NaN=(↹⩛10145⫃⨇↹⩛4422)⨓↹⩛13341↬↹⩛12345","cot":[{"info":"↹⩛10145⫃⨇↹⩛4422=↹⩛-31024","layer":1},{"info":"↹⩛13341↬↹⩛12345=NaN","layer":1},{"info":"↹⩛-31024⨓NaN=NaN","layer":0}]}
{"id":55,"expression_no_base_symbol":"(⫡⇟⇯$1080$)⪘⫢($4557$⊉≛↸$2424$)","expression":"(⫡⇟⇯↹⩛5000)⪘⫢(↹⩛33033⊉≛↸↹⩛15120)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":23,"operation_count":3,"complexity_ratio":7.666666666666667,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":1080,"base":6}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4557,"base":6},"right_expr":{"type":"numeric_atoms","value":2424,"base":6}}},"used_operators":["oacrs7FA3X","qWUSsah53b","DZ8iAZOCBD"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DZ8iAZOCBD","P8v4zCKN1o","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛43244","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1080","layer":2},{"info":"compute unary expreesion, input=1080, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=3028","layer":1},{"info":"number node, value=4557","layer":2},{"info":"number node, value=2424","layer":2},{"info":"compute binary expreesion, left_input=4557, right_input=2424, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9114","layer":1},{"info":"compute binary expreesion, left_input=3028, right_input=9114, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5932","layer":0}],"base":6,"result_base":6,"text":"(⫡⇟⇯↹⩛5000)⪘⫢(↹⩛33033⊉≛↸↹⩛15120)=↹⩛43244","reverse_text":"↹⩛43244=(⫡⇟⇯↹⩛5000)⪘⫢(↹⩛33033⊉≛↸↹⩛15120)","cot":[{"info":"⫡⇟⇯↹⩛5000=↹⩛22004","layer":1},{"info":"↹⩛33033⊉≛↸↹⩛15120=↹⩛110110","layer":1},{"info":"↹⩛22004⪘⫢↹⩛110110=↹⩛43244","layer":0}]}
{"id":56,"expression_no_base_symbol":"($1669$⋥≓≎$1426$)≴⪞⇿($1587$≒∊$5123$)","expression":"(↹⩛11421⋥≓≎↹⩛10334)≴⪞⇿(↹⩛11203≒∊↹⩛35415)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":994,"operation_count":3,"complexity_ratio":331.3333333333333,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1669,"base":6},"right_expr":{"type":"numeric_atoms","value":1426,"base":6}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1587,"base":6},"right_expr":{"type":"numeric_atoms","value":5123,"base":6}}},"used_operators":["lvlrscuwVU","Qy55tPpLXF","5KTvxBwnZo"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"↹⩛101502545","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1669","layer":2},{"info":"number node, value=1426","layer":2},{"info":"compute binary expreesion, left_input=1669, right_input=1426, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1216","layer":1},{"info":"number node, value=1587","layer":2},{"info":"number node, value=5123","layer":2},{"info":"compute binary expreesion, left_input=1587, right_input=5123, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1103","layer":1},{"info":"compute binary expreesion, left_input=1216, right_input=-1103, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=1765793","layer":0}],"base":6,"result_base":6,"text":"(↹⩛11421⋥≓≎↹⩛10334)≴⪞⇿(↹⩛11203≒∊↹⩛35415)=↹⩛101502545","reverse_text":"↹⩛101502545=(↹⩛11421⋥≓≎↹⩛10334)≴⪞⇿(↹⩛11203≒∊↹⩛35415)","cot":[{"info":"↹⩛11421⋥≓≎↹⩛10334=↹⩛5344","layer":1},{"info":"↹⩛11203≒∊↹⩛35415=↹⩛-5035","layer":1},{"info":"↹⩛5344≴⪞⇿↹⩛-5035=↹⩛101502545","layer":0}]}
{"id":57,"expression_no_base_symbol":"$3323$⨽∌$1648$∴($3915$≥⨤⩑$6021$)","expression":"↹⩛23215⨽∌↹⩛11344∴(↹⩛30043≥⨤⩑↹⩛43513)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":75,"operation_count":3,"complexity_ratio":25.0,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":3323,"base":6},"right_expr":{"type":"numeric_atoms","value":1648,"base":6}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":3915,"base":6},"right_expr":{"type":"numeric_atoms","value":6021,"base":6}}},"used_operators":["hrf7POJlIJ","9samAPKr6k","gJLn6v0xnP"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"↹⩛11344","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3323","layer":2},{"info":"number node, value=1648","layer":2},{"info":"compute binary expreesion, left_input=3323, right_input=1648, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"number node, value=3915","layer":2},{"info":"number node, value=6021","layer":2},{"info":"compute binary expreesion, left_input=3915, right_input=6021, 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=0, right_input=1234, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1648","layer":0}],"base":6,"result_base":6,"text":"↹⩛23215⨽∌↹⩛11344∴(↹⩛30043≥⨤⩑↹⩛43513)=↹⩛11344","reverse_text":"↹⩛11344=↹⩛23215⨽∌↹⩛11344∴(↹⩛30043≥⨤⩑↹⩛43513)","cot":[{"info":"↹⩛23215⨽∌↹⩛11344=↹⩛0","layer":1},{"info":"↹⩛30043≥⨤⩑↹⩛43513=↹⩛5414","layer":1},{"info":"↹⩛0∴↹⩛5414=↹⩛11344","layer":0}]}
{"id":58,"expression_no_base_symbol":"(↓⇌$2446$)∓⋝($2623$⨀⨒)","expression":"(↓⇌↹⩛15154)∓⋝(↹⩛20051⨀⨒)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":85,"operation_count":3,"complexity_ratio":28.333333333333332,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":2446,"base":6}},"right_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":2623,"base":6}}},"used_operators":["PoHhknlbAi","PxpmPgHHJV","j6NVkjMzuk"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2446","layer":2},{"info":"compute unary expreesion, input=2446, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=2446","layer":1},{"info":"number node, value=2623","layer":2},{"info":"compute unary expreesion, input=2623, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=33454","layer":1},{"info":"compute binary expreesion, left_input=2446, right_input=33454, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":0}],"base":6,"result_base":6,"text":"(↓⇌↹⩛15154)∓⋝(↹⩛20051⨀⨒)=↹⩛151","reverse_text":"↹⩛151=(↓⇌↹⩛15154)∓⋝(↹⩛20051⨀⨒)","cot":[{"info":"↓⇌↹⩛15154=↹⩛15154","layer":1},{"info":"↹⩛20051⨀⨒=↹⩛414514","layer":1},{"info":"↹⩛15154∓⋝↹⩛414514=↹⩛151","layer":0}]}
{"id":59,"expression_no_base_symbol":"$3315$∛$5610$≀⩗∶($2668$⪹)","expression":"↹⩛23203∛↹⩛41550≀⩗∶(↹⩛20204⪹)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":137,"operation_count":3,"complexity_ratio":45.666666666666664,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":3315,"base":6},"right_expr":{"type":"numeric_atoms","value":5610,"base":6}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":2668,"base":6}}},"used_operators":["8INZBEW696","w2537kitQq","B3sABdIn96"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9FxExcQeMw","e1ybzncUwg","QMFrweE19q"],"result":"↹⩛113","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3315","layer":2},{"info":"number node, value=5610","layer":2},{"info":"compute binary expreesion, left_input=3315, right_input=5610, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":1},{"info":"number node, value=2668","layer":2},{"info":"compute unary expreesion, input=2668, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=9828","layer":1},{"info":"compute binary expreesion, left_input=-670, right_input=9828, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=45","layer":0}],"base":6,"result_base":6,"text":"↹⩛23203∛↹⩛41550≀⩗∶(↹⩛20204⪹)=↹⩛113","reverse_text":"↹⩛113=↹⩛23203∛↹⩛41550≀⩗∶(↹⩛20204⪹)","cot":[{"info":"↹⩛23203∛↹⩛41550=↹⩛-3034","layer":1},{"info":"↹⩛20204⪹=↹⩛113300","layer":1},{"info":"↹⩛-3034≀⩗∶↹⩛113300=↹⩛113","layer":0}]}
{"id":60,"expression_no_base_symbol":"$1690$⪝$1928$⨎($3290$⊿∆)","expression":"↹⩛11454⪝↹⩛12532⨎(↹⩛23122⊿∆)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":420,"operation_count":3,"complexity_ratio":140.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1690,"base":6},"right_expr":{"type":"numeric_atoms","value":1928,"base":6}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":3290,"base":6}}},"used_operators":["rJVOvQCfKK","wicAB68Tmb","fv3ZujxkQL"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","NTOWxs364D"],"result":"↹⩛-51005","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1690","layer":2},{"info":"number node, value=1928","layer":2},{"info":"compute binary expreesion, left_input=1690, right_input=1928, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":1},{"info":"number node, value=3290","layer":2},{"info":"compute unary expreesion, input=3290, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-6701","layer":1},{"info":"compute binary expreesion, left_input=237, right_input=-6701, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-6701","layer":0}],"base":6,"result_base":6,"text":"↹⩛11454⪝↹⩛12532⨎(↹⩛23122⊿∆)=↹⩛-51005","reverse_text":"↹⩛-51005=↹⩛11454⪝↹⩛12532⨎(↹⩛23122⊿∆)","cot":[{"info":"↹⩛11454⪝↹⩛12532=↹⩛1033","layer":1},{"info":"↹⩛23122⊿∆=↹⩛-51005","layer":1},{"info":"↹⩛1033⨎↹⩛-51005=↹⩛-51005","layer":0}]}
{"id":61,"expression_no_base_symbol":"$1090$⇂≾⫗$2185$⪬∳","expression":"↹⩛5014⇂≾⫗↹⩛14041⪬∳","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2214,"operation_count":2,"complexity_ratio":1107.0,"tree":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1090,"base":6},"right_expr":{"type":"numeric_atoms","value":2185,"base":6}}},"used_operators":["O9U3z1385E","aBQ6xLxuTc"],"dependent_operators":["FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1090","layer":2},{"info":"number node, value=2185","layer":2},{"info":"compute binary expreesion, left_input=1090, right_input=2185, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"compute unary expreesion, input=-676, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"↹⩛5014⇂≾⫗↹⩛14041⪬∳=↹⩛0","reverse_text":"↹⩛0=↹⩛5014⇂≾⫗↹⩛14041⪬∳","cot":[{"info":"↹⩛5014⇂≾⫗↹⩛14041=↹⩛-3044","layer":1},{"info":"↹⩛-3044⪬∳=↹⩛0","layer":0}]}
{"id":62,"expression_no_base_symbol":"($1902$⊬⨰$1040$)↢($4492$∠↢$1127$)","expression":"(↹⩛12450⊬⨰↹⩛4452)↢(↹⩛32444∠↢↹⩛5115)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34,"operation_count":3,"complexity_ratio":11.333333333333334,"tree":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1902,"base":6},"right_expr":{"type":"numeric_atoms","value":1040,"base":6}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":4492,"base":6},"right_expr":{"type":"numeric_atoms","value":1127,"base":6}}},"used_operators":["WR6HLWljOP","s3Fd5m9Dh2","KbjG8mgYpV"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"↹⩛32534","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1902","layer":2},{"info":"number node, value=1040","layer":2},{"info":"compute binary expreesion, left_input=1902, right_input=1040, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=5006","layer":1},{"info":"number node, value=4492","layer":2},{"info":"number node, value=1127","layer":2},{"info":"compute binary expreesion, left_input=4492, 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=-32664","layer":1},{"info":"compute binary expreesion, left_input=5006, right_input=-32664, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=4522","layer":0}],"base":6,"result_base":6,"text":"(↹⩛12450⊬⨰↹⩛4452)↢(↹⩛32444∠↢↹⩛5115)=↹⩛32534","reverse_text":"↹⩛32534=(↹⩛12450⊬⨰↹⩛4452)↢(↹⩛32444∠↢↹⩛5115)","cot":[{"info":"↹⩛12450⊬⨰↹⩛4452=↹⩛35102","layer":1},{"info":"↹⩛32444∠↢↹⩛5115=↹⩛-411120","layer":1},{"info":"↹⩛35102↢↹⩛-411120=↹⩛32534","layer":0}]}
{"id":63,"expression_no_base_symbol":"(⪁⇼$2059$)⇤($1097$⫯⪬∳$3412$)","expression":"(⪁⇼↹⩛13311)⇤(↹⩛5025⫯⪬∳↹⩛23444)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":38,"operation_count":3,"complexity_ratio":12.666666666666666,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":2059,"base":6}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1097,"base":6},"right_expr":{"type":"numeric_atoms","value":3412,"base":6}}},"used_operators":["YSKBFp38Pu","ZNVVrZ94lY","d7ASUq0ydm"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"↹⩛-113200","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2059","layer":2},{"info":"compute unary expreesion, input=2059, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":1},{"info":"number node, value=1097","layer":2},{"info":"number node, value=3412","layer":2},{"info":"compute binary expreesion, left_input=1097, right_input=3412, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=2106","layer":1},{"info":"compute binary expreesion, left_input=422, right_input=2106, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-9792","layer":0}],"base":6,"result_base":6,"text":"(⪁⇼↹⩛13311)⇤(↹⩛5025⫯⪬∳↹⩛23444)=↹⩛-113200","reverse_text":"↹⩛-113200=(⪁⇼↹⩛13311)⇤(↹⩛5025⫯⪬∳↹⩛23444)","cot":[{"info":"⪁⇼↹⩛13311=↹⩛1542","layer":1},{"info":"↹⩛5025⫯⪬∳↹⩛23444=↹⩛13430","layer":1},{"info":"↹⩛1542⇤↹⩛13430=↹⩛-113200","layer":0}]}
{"id":64,"expression_no_base_symbol":"⪁⇼($6026$⫸⊐$4713$)","expression":"⪁⇼(↹⩛43522⫸⊐↹⩛33453)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":32,"operation_count":2,"complexity_ratio":16.0,"tree":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6026,"base":6},"right_expr":{"type":"numeric_atoms","value":4713,"base":6}}},"used_operators":["ZNVVrZ94lY","mqXw5SEYmG"],"dependent_operators":["sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"↹⩛1542","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6026","layer":2},{"info":"number node, value=4713","layer":2},{"info":"compute binary expreesion, left_input=6026, right_input=4713, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=18727","layer":1},{"info":"compute unary expreesion, input=18727, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":0}],"base":6,"result_base":6,"text":"⪁⇼(↹⩛43522⫸⊐↹⩛33453)=↹⩛1542","reverse_text":"↹⩛1542=⪁⇼(↹⩛43522⫸⊐↹⩛33453)","cot":[{"info":"↹⩛43522⫸⊐↹⩛33453=↹⩛222411","layer":1},{"info":"⪁⇼↹⩛222411=↹⩛1542","layer":0}]}
{"id":65,"expression_no_base_symbol":"∤$2466$⇮⋭$1999$","expression":"∤↹⩛15230⇮⋭↹⩛13131","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":55,"operation_count":2,"complexity_ratio":27.5,"tree":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2466,"base":6},"right_expr":{"type":"numeric_atoms","value":1999,"base":6}}},"used_operators":["k2HlF1dBQh","vkpjKywKVM"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"↹⩛13","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2466","layer":2},{"info":"number node, value=1999","layer":2},{"info":"compute binary expreesion, left_input=2466, right_input=1999, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":1},{"info":"compute unary expreesion, input=-473, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":0}],"base":6,"result_base":6,"text":"∤↹⩛15230⇮⋭↹⩛13131=↹⩛13","reverse_text":"↹⩛13=∤↹⩛15230⇮⋭↹⩛13131","cot":[{"info":"↹⩛15230⇮⋭↹⩛13131=↹⩛-2105","layer":1},{"info":"∤↹⩛-2105=↹⩛13","layer":0}]}
{"id":66,"expression_no_base_symbol":"⇖⫷⫕($4043$⨽$1562$)","expression":"⇖⫷⫕(↹⩛30415⨽↹⩛11122)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":966329,"operation_count":2,"complexity_ratio":483164.5,"tree":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4043,"base":6},"right_expr":{"type":"numeric_atoms","value":1562,"base":6}}},"used_operators":["UHmRx3INFg","8HhzD0ZcuI"],"dependent_operators":["DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"↹⩛21022","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4043","layer":2},{"info":"number node, value=1562","layer":2},{"info":"compute binary expreesion, left_input=4043, right_input=1562, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-49040919","layer":1},{"info":"compute unary expreesion, input=-49040919, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":0}],"base":6,"result_base":6,"text":"⇖⫷⫕(↹⩛30415⨽↹⩛11122)=↹⩛21022","reverse_text":"↹⩛21022=⇖⫷⫕(↹⩛30415⨽↹⩛11122)","cot":[{"info":"↹⩛30415⨽↹⩛11122=↹⩛-4511041143","layer":1},{"info":"⇖⫷⫕↹⩛-4511041143=↹⩛21022","layer":0}]}
{"id":67,"expression_no_base_symbol":"⩦⊞(⋗⩴⪓$4054$)","expression":"⩦⊞(⋗⩴⪓↹⩛30434)","highest_n_order":3,"priority_hierarchical_complexity":1,"normalized_expansion_degree":4104,"operation_count":2,"complexity_ratio":2052.0,"tree":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":4054,"base":6}}},"used_operators":["u7fv1HBiaC","nOKPl9n5zu"],"dependent_operators":["eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG"],"result":"↹⩛-45202","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4054","layer":2},{"info":"compute unary expreesion, input=4054, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-3141","layer":1},{"info":"compute unary expreesion, input=-3141, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-6338","layer":0}],"base":6,"result_base":6,"text":"⩦⊞(⋗⩴⪓↹⩛30434)=↹⩛-45202","reverse_text":"↹⩛-45202=⩦⊞(⋗⩴⪓↹⩛30434)","cot":[{"info":"⋗⩴⪓↹⩛30434=↹⩛-22313","layer":1},{"info":"⩦⊞↹⩛-22313=↹⩛-45202","layer":0}]}
{"id":68,"expression_no_base_symbol":"(⊗$6464$)⨭⪣$1260$+⇶⊼$6169$","expression":"(⊗↹⩛45532)⨭⪣↹⩛5500+⇶⊼↹⩛44321","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":64,"operation_count":3,"complexity_ratio":21.333333333333332,"tree":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":6464,"base":6}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1260,"base":6},"right_expr":{"type":"numeric_atoms","value":6169,"base":6}}},"used_operators":["kn8WO9XteQ","RhiyfpczSx","TpPTUOHfaN"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","AHs5Up7iyr"],"result":"↹⩛-33","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6464","layer":2},{"info":"compute unary expreesion, input=6464, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-12928","layer":1},{"info":"number node, value=1260","layer":2},{"info":"number node, value=6169","layer":2},{"info":"compute binary expreesion, left_input=1260, right_input=6169, 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=-12928, 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":6,"result_base":6,"text":"(⊗↹⩛45532)⨭⪣↹⩛5500+⇶⊼↹⩛44321=↹⩛-33","reverse_text":"↹⩛-33=(⊗↹⩛45532)⨭⪣↹⩛5500+⇶⊼↹⩛44321","cot":[{"info":"⊗↹⩛45532=↹⩛-135504","layer":1},{"info":"↹⩛5500+⇶⊼↹⩛44321=NaN","layer":1},{"info":"↹⩛-135504⨭⪣NaN=↹⩛-33","layer":0}]}
{"id":69,"expression_no_base_symbol":"($2454$+⇶⊼$6432$)⨜⨶($1226$≚⊃≕$5555$)","expression":"(↹⩛15210+⇶⊼↹⩛45440)⨜⨶(↹⩛5402≚⊃≕↹⩛41415)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":41,"operation_count":3,"complexity_ratio":13.666666666666666,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2454,"base":6},"right_expr":{"type":"numeric_atoms","value":6432,"base":6}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1226,"base":6},"right_expr":{"type":"numeric_atoms","value":5555,"base":6}}},"used_operators":["HiPekx5b7W","TpPTUOHfaN","Bmrmz2XGnR"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","AHs5Up7iyr","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2454","layer":2},{"info":"number node, value=6432","layer":2},{"info":"compute binary expreesion, left_input=2454, right_input=6432, 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=1226","layer":2},{"info":"number node, value=5555","layer":2},{"info":"compute binary expreesion, left_input=1226, right_input=5555, 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=-17709","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-17709, 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":6,"result_base":6,"text":"(↹⩛15210+⇶⊼↹⩛45440)⨜⨶(↹⩛5402≚⊃≕↹⩛41415)=NaN","reverse_text":"NaN=(↹⩛15210+⇶⊼↹⩛45440)⨜⨶(↹⩛5402≚⊃≕↹⩛41415)","cot":[{"info":"↹⩛15210+⇶⊼↹⩛45440=NaN","layer":1},{"info":"↹⩛5402≚⊃≕↹⩛41415=↹⩛-213553","layer":1},{"info":"NaN⨜⨶↹⩛-213553=NaN","layer":0}]}
{"id":70,"expression_no_base_symbol":"($4227$⊧↖)⪐","expression":"(↹⩛31323⊧↖)⪐","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4277,"operation_count":2,"complexity_ratio":2138.5,"tree":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":4227,"base":6}}},"used_operators":["eH2TOUuTDT","EKiFHuOFxO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI"],"result":"↹⩛33140304424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4227","layer":2},{"info":"compute unary expreesion, input=4227, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=107227664","layer":1},{"info":"compute unary expreesion, input=107227664, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=214455328","layer":0}],"base":6,"result_base":6,"text":"(↹⩛31323⊧↖)⪐=↹⩛33140304424","reverse_text":"↹⩛33140304424=(↹⩛31323⊧↖)⪐","cot":[{"info":"↹⩛31323⊧↖=↹⩛14350132212","layer":1},{"info":"↹⩛14350132212⪐=↹⩛33140304424","layer":0}]}
{"id":71,"expression_no_base_symbol":"$2801$⨼⩣$4323$⊝⪿⪼($3225$≒∊$5857$)","expression":"↹⩛20545⨼⩣↹⩛32003⊝⪿⪼(↹⩛22533≒∊↹⩛43041)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":401,"operation_count":3,"complexity_ratio":133.66666666666666,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":2801,"base":6},"right_expr":{"type":"numeric_atoms","value":4323,"base":6}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":3225,"base":6},"right_expr":{"type":"numeric_atoms","value":5857,"base":6}}},"used_operators":["3Oe9XWJUTD","JxwMv5le6e","5KTvxBwnZo"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2801","layer":2},{"info":"number node, value=4323","layer":2},{"info":"compute binary expreesion, left_input=2801, right_input=4323, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"number node, value=3225","layer":2},{"info":"number node, value=5857","layer":2},{"info":"compute binary expreesion, left_input=3225, right_input=5857, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2741","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2741, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛20545⨼⩣↹⩛32003⊝⪿⪼(↹⩛22533≒∊↹⩛43041)=NaN","reverse_text":"NaN=↹⩛20545⨼⩣↹⩛32003⊝⪿⪼(↹⩛22533≒∊↹⩛43041)","cot":[{"info":"↹⩛20545⨼⩣↹⩛32003=NaN","layer":1},{"info":"↹⩛22533≒∊↹⩛43041=↹⩛-20405","layer":1},{"info":"NaN⊝⪿⪼↹⩛-20405=NaN","layer":0}]}
{"id":72,"expression_no_base_symbol":"($6361$⊵↤)⨒(⩏⊷≩$1642$)","expression":"(↹⩛45241⊵↤)⨒(⩏⊷≩↹⩛11334)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":78,"operation_count":3,"complexity_ratio":26.0,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":6361,"base":6}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":1642,"base":6}}},"used_operators":["y75s1iXyHd","7IPrd9c3lf","uOZ1tnYMDE"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","23Mk6UjR3U","12rbrZMWeM"],"result":"↹⩛244","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=6361","layer":2},{"info":"compute unary expreesion, input=6361, 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=1642","layer":2},{"info":"compute unary expreesion, input=1642, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=2983","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=2983, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=100","layer":0}],"base":6,"result_base":6,"text":"(↹⩛45241⊵↤)⨒(⩏⊷≩↹⩛11334)=↹⩛244","reverse_text":"↹⩛244=(↹⩛45241⊵↤)⨒(⩏⊷≩↹⩛11334)","cot":[{"info":"↹⩛45241⊵↤=↹⩛151","layer":1},{"info":"⩏⊷≩↹⩛11334=↹⩛21451","layer":1},{"info":"↹⩛151⨒↹⩛21451=↹⩛244","layer":0}]}
{"id":73,"expression_no_base_symbol":"(≸≮$6236$)⨼⩣($4531$⪛$1436$)","expression":"(≸≮↹⩛44512)⨼⩣(↹⩛32551⪛↹⩛10352)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12893,"operation_count":3,"complexity_ratio":4297.666666666667,"tree":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":6236,"base":6}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4531,"base":6},"right_expr":{"type":"numeric_atoms","value":1436,"base":6}}},"used_operators":["JxwMv5le6e","AljMvE3RRm","uFcxV4UQCh"],"dependent_operators":["uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=6236","layer":2},{"info":"compute unary expreesion, input=6236, 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":"number node, value=4531","layer":2},{"info":"number node, value=1436","layer":2},{"info":"compute binary expreesion, left_input=4531, right_input=1436, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=223","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=223, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(≸≮↹⩛44512)⨼⩣(↹⩛32551⪛↹⩛10352)=NaN","reverse_text":"NaN=(≸≮↹⩛44512)⨼⩣(↹⩛32551⪛↹⩛10352)","cot":[{"info":"≸≮↹⩛44512=NaN","layer":1},{"info":"↹⩛32551⪛↹⩛10352=↹⩛1011","layer":1},{"info":"NaN⨼⩣↹⩛1011=NaN","layer":0}]}
{"id":74,"expression_no_base_symbol":"$1024$⊋$6199$⨪↰⇹(⊀$2708$)","expression":"↹⩛4424⊋↹⩛44411⨪↰⇹(⊀↹⩛20312)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10319,"operation_count":3,"complexity_ratio":3439.6666666666665,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1024,"base":6},"right_expr":{"type":"numeric_atoms","value":6199,"base":6}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":2708,"base":6}}},"used_operators":["tmPS8pqC7x","W4tP9CfskL","oPMjh9089D"],"dependent_operators":["rJVOvQCfKK","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1024","layer":2},{"info":"number node, value=6199","layer":2},{"info":"compute binary expreesion, left_input=1024, right_input=6199, 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=-251396928","layer":1},{"info":"number node, value=2708","layer":2},{"info":"compute unary expreesion, input=2708, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=10570","layer":1},{"info":"compute binary expreesion, left_input=-251396928, right_input=10570, 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":6,"result_base":6,"text":"↹⩛4424⊋↹⩛44411⨪↰⇹(⊀↹⩛20312)=NaN","reverse_text":"NaN=↹⩛4424⊋↹⩛44411⨪↰⇹(⊀↹⩛20312)","cot":[{"info":"↹⩛4424⊋↹⩛44411=↹⩛-40540150400","layer":1},{"info":"⊀↹⩛20312=↹⩛120534","layer":1},{"info":"↹⩛-40540150400⨪↰⇹↹⩛120534=NaN","layer":0}]}
{"id":75,"expression_no_base_symbol":"$4702$∥⊢⊲$2382$⪛($3795$⫦⪉$1431$)","expression":"↹⩛33434∥⊢⊲↹⩛15010⪛(↹⩛25323⫦⪉↹⩛10343)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":35,"operation_count":3,"complexity_ratio":11.666666666666666,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":4702,"base":6},"right_expr":{"type":"numeric_atoms","value":2382,"base":6}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":3795,"base":6},"right_expr":{"type":"numeric_atoms","value":1431,"base":6}}},"used_operators":["uFcxV4UQCh","v1UQAVDJRr","wscyQdcy20"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","EBcxylXtPf","rGHVDoGpnC","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4702","layer":2},{"info":"number node, value=2382","layer":2},{"info":"compute binary expreesion, left_input=4702, right_input=2382, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"number node, value=3795","layer":2},{"info":"number node, value=1431","layer":2},{"info":"compute binary expreesion, left_input=3795, right_input=1431, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-2690","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2690, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛33434∥⊢⊲↹⩛15010⪛(↹⩛25323⫦⪉↹⩛10343)=NaN","reverse_text":"NaN=↹⩛33434∥⊢⊲↹⩛15010⪛(↹⩛25323⫦⪉↹⩛10343)","cot":[{"info":"↹⩛33434∥⊢⊲↹⩛15010=NaN","layer":1},{"info":"↹⩛25323⫦⪉↹⩛10343=↹⩛-20242","layer":1},{"info":"NaN⪛↹⩛-20242=NaN","layer":0}]}
{"id":76,"expression_no_base_symbol":"($8721$⨎$1090$)⩠","expression":"(↹⩛104213⨎↹⩛5014)⩠","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19,"operation_count":2,"complexity_ratio":9.5,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":8721,"base":6},"right_expr":{"type":"numeric_atoms","value":1090,"base":6}}},"used_operators":["sJAwomhLZr","rJVOvQCfKK"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=8721","layer":2},{"info":"number node, value=1090","layer":2},{"info":"compute binary expreesion, left_input=8721, right_input=1090, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1090","layer":1},{"info":"compute unary expreesion, input=1090, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":0}],"base":6,"result_base":6,"text":"(↹⩛104213⨎↹⩛5014)⩠=↹⩛0","reverse_text":"↹⩛0=(↹⩛104213⨎↹⩛5014)⩠","cot":[{"info":"↹⩛104213⨎↹⩛5014=↹⩛5014","layer":1},{"info":"↹⩛5014⩠=↹⩛0","layer":0}]}
{"id":77,"expression_no_base_symbol":"⫎≠⋺$1718$⇂≾⫗$5237$","expression":"⫎≠⋺↹⩛11542⇂≾⫗↹⩛40125","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":72,"operation_count":2,"complexity_ratio":36.0,"tree":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1718,"base":6},"right_expr":{"type":"numeric_atoms","value":5237,"base":6}}},"used_operators":["LYeZOJ0nQG","aBQ6xLxuTc"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"↹⩛-3141","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1718","layer":2},{"info":"number node, value=5237","layer":2},{"info":"compute binary expreesion, left_input=1718, right_input=5237, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"compute unary expreesion, input=-676, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":0}],"base":6,"result_base":6,"text":"⫎≠⋺↹⩛11542⇂≾⫗↹⩛40125=↹⩛-3141","reverse_text":"↹⩛-3141=⫎≠⋺↹⩛11542⇂≾⫗↹⩛40125","cot":[{"info":"↹⩛11542⇂≾⫗↹⩛40125=↹⩛-3044","layer":1},{"info":"⫎≠⋺↹⩛-3044=↹⩛-3141","layer":0}]}
{"id":78,"expression_no_base_symbol":"($1163$⨚$4856$)∴($5289$⩹$5470$)","expression":"(↹⩛5215⨚↹⩛34252)∴(↹⩛40253⩹↹⩛41154)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":38,"operation_count":3,"complexity_ratio":12.666666666666666,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1163,"base":6},"right_expr":{"type":"numeric_atoms","value":4856,"base":6}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":5289,"base":6},"right_expr":{"type":"numeric_atoms","value":5470,"base":6}}},"used_operators":["hrf7POJlIJ","nREPSIbpBE","2Wsdkap16l"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","BjRHVeLaeN","12rbrZMWeM","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"↹⩛-354012","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1163","layer":2},{"info":"number node, value=4856","layer":2},{"info":"compute binary expreesion, left_input=1163, right_input=4856, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-16164","layer":1},{"info":"number node, value=5289","layer":2},{"info":"number node, value=5470","layer":2},{"info":"compute binary expreesion, left_input=5289, right_input=5470, 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=5468","layer":1},{"info":"compute binary expreesion, left_input=-16164, right_input=5468, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-30680","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5215⨚↹⩛34252)∴(↹⩛40253⩹↹⩛41154)=↹⩛-354012","reverse_text":"↹⩛-354012=(↹⩛5215⨚↹⩛34252)∴(↹⩛40253⩹↹⩛41154)","cot":[{"info":"↹⩛5215⨚↹⩛34252=↹⩛-202500","layer":1},{"info":"↹⩛40253⩹↹⩛41154=↹⩛41152","layer":1},{"info":"↹⩛-202500∴↹⩛41152=↹⩛-354012","layer":0}]}
{"id":79,"expression_no_base_symbol":"($1138$⨎$1247$)⫘($2998$∟)","expression":"(↹⩛5134⨎↹⩛5435)⫘(↹⩛21514∟)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1520,"operation_count":3,"complexity_ratio":506.6666666666667,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1138,"base":6},"right_expr":{"type":"numeric_atoms","value":1247,"base":6}},"right_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":2998,"base":6}}},"used_operators":["48vC8HMD2b","rJVOvQCfKK","hTbEZDJLEm"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T"],"result":"↹⩛51305341","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1138","layer":2},{"info":"number node, value=1247","layer":2},{"info":"compute binary expreesion, left_input=1138, right_input=1247, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1247","layer":1},{"info":"number node, value=2998","layer":2},{"info":"compute unary expreesion, input=2998, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=1247, right_input=113, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1470877","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5134⨎↹⩛5435)⫘(↹⩛21514∟)=↹⩛51305341","reverse_text":"↹⩛51305341=(↹⩛5134⨎↹⩛5435)⫘(↹⩛21514∟)","cot":[{"info":"↹⩛5134⨎↹⩛5435=↹⩛5435","layer":1},{"info":"↹⩛21514∟=↹⩛305","layer":1},{"info":"↹⩛5435⫘↹⩛305=↹⩛51305341","layer":0}]}
{"id":80,"expression_no_base_symbol":"($8157$⋾⨃∁$5639$)⨘","expression":"(↹⩛101433⋾⨃∁↹⩛42035)⨘","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5682,"operation_count":2,"complexity_ratio":2841.0,"tree":{"type":"unary","operator":"⨘","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":8157,"base":6},"right_expr":{"type":"numeric_atoms","value":5639,"base":6}}},"used_operators":["ljcfZBUpm8","212REbPD9h"],"dependent_operators":["40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8157","layer":2},{"info":"number node, value=5639","layer":2},{"info":"compute binary expreesion, left_input=8157, right_input=5639, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=317915448","layer":1},{"info":"compute unary expreesion, input=317915448, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛101433⋾⨃∁↹⩛42035)⨘=NaN","reverse_text":"NaN=(↹⩛101433⋾⨃∁↹⩛42035)⨘","cot":[{"info":"↹⩛101433⋾⨃∁↹⩛42035=↹⩛51314010440","layer":1},{"info":"↹⩛51314010440⨘=NaN","layer":0}]}
{"id":81,"expression_no_base_symbol":"⩷(∟⋨$3592$)","expression":"⩷(∟⋨↹⩛24344)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3610,"operation_count":2,"complexity_ratio":1805.0,"tree":{"type":"unary","operator":"⩷","unary_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":3592,"base":6}}},"used_operators":["1h0rLqGiFr","ctOc4cKSDt"],"dependent_operators":["14qkJME0vr","g55IO6H4Gj","7j4O788W3g","eLAdDNolq6","tmPS8pqC7x"],"result":"↹⩛444145","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3592","layer":2},{"info":"compute unary expreesion, input=3592, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-3108","layer":1},{"info":"compute unary expreesion, input=-3108, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=37217","layer":0}],"base":6,"result_base":6,"text":"⩷(∟⋨↹⩛24344)=↹⩛444145","reverse_text":"↹⩛444145=⩷(∟⋨↹⩛24344)","cot":[{"info":"∟⋨↹⩛24344=↹⩛-22220","layer":1},{"info":"⩷↹⩛-22220=↹⩛444145","layer":0}]}
{"id":82,"expression_no_base_symbol":"($3961$-$5143$)∖$3741$⪃⊛⇣$1053$","expression":"(↹⩛30201-↹⩛35451)∖↹⩛25153⪃⊛⇣↹⩛4513","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":856,"operation_count":3,"complexity_ratio":285.3333333333333,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3961,"base":6},"right_expr":{"type":"numeric_atoms","value":5143,"base":6}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":3741,"base":6},"right_expr":{"type":"numeric_atoms","value":1053,"base":6}}},"used_operators":["tXD093vOjl","rysDP5nf3Z","rrgAzCduG9"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3961","layer":2},{"info":"number node, value=5143","layer":2},{"info":"compute binary expreesion, left_input=3961, right_input=5143, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1182","layer":1},{"info":"number node, value=3741","layer":2},{"info":"number node, value=1053","layer":2},{"info":"compute binary expreesion, left_input=3741, right_input=1053, 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=-1182, 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":6,"result_base":6,"text":"(↹⩛30201-↹⩛35451)∖↹⩛25153⪃⊛⇣↹⩛4513=↹⩛0","reverse_text":"↹⩛0=(↹⩛30201-↹⩛35451)∖↹⩛25153⪃⊛⇣↹⩛4513","cot":[{"info":"↹⩛30201-↹⩛35451=↹⩛-5250","layer":1},{"info":"↹⩛25153⪃⊛⇣↹⩛4513=↹⩛5414","layer":1},{"info":"↹⩛-5250∖↹⩛5414=↹⩛0","layer":0}]}
{"id":83,"expression_no_base_symbol":"(⋗⩴⪓$1521$)⫽⇹≛","expression":"(⋗⩴⪓↹⩛11013)⫽⇹≛","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1590,"operation_count":2,"complexity_ratio":795.0,"tree":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":1521,"base":6}}},"used_operators":["NNaDxxp6OQ","nOKPl9n5zu"],"dependent_operators":["KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG"],"result":"↹⩛1132","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1521","layer":2},{"info":"compute unary expreesion, input=1521, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-608","layer":1},{"info":"compute unary expreesion, input=-608, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":0}],"base":6,"result_base":6,"text":"(⋗⩴⪓↹⩛11013)⫽⇹≛=↹⩛1132","reverse_text":"↹⩛1132=(⋗⩴⪓↹⩛11013)⫽⇹≛","cot":[{"info":"⋗⩴⪓↹⩛11013=↹⩛-2452","layer":1},{"info":"↹⩛-2452⫽⇹≛=↹⩛1132","layer":0}]}
{"id":84,"expression_no_base_symbol":"($7113$⫦⪉$5110$)⨐($1037$≝⊿$1836$)","expression":"(↹⩛52533⫦⪉↹⩛35354)⨐(↹⩛4445≝⊿↹⩛12300)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":41,"operation_count":3,"complexity_ratio":13.666666666666666,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":7113,"base":6},"right_expr":{"type":"numeric_atoms","value":5110,"base":6}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1037,"base":6},"right_expr":{"type":"numeric_atoms","value":1836,"base":6}}},"used_operators":["Noe24qw2ks","wscyQdcy20","OKKcZfAt5B"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","12rbrZMWeM"],"result":"↹⩛222204","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7113","layer":2},{"info":"number node, value=5110","layer":2},{"info":"compute binary expreesion, left_input=7113, right_input=5110, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-9326","layer":1},{"info":"number node, value=1037","layer":2},{"info":"number node, value=1836","layer":2},{"info":"compute binary expreesion, left_input=1037, right_input=1836, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-5242","layer":1},{"info":"compute binary expreesion, left_input=-9326, right_input=-5242, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=18652","layer":0}],"base":6,"result_base":6,"text":"(↹⩛52533⫦⪉↹⩛35354)⨐(↹⩛4445≝⊿↹⩛12300)=↹⩛222204","reverse_text":"↹⩛222204=(↹⩛52533⫦⪉↹⩛35354)⨐(↹⩛4445≝⊿↹⩛12300)","cot":[{"info":"↹⩛52533⫦⪉↹⩛35354=↹⩛-111102","layer":1},{"info":"↹⩛4445≝⊿↹⩛12300=↹⩛-40134","layer":1},{"info":"↹⩛-111102⨐↹⩛-40134=↹⩛222204","layer":0}]}
{"id":85,"expression_no_base_symbol":"$1519$⪶≀⋏$1467$≃($4239$⫥∨⫟$4080$)","expression":"↹⩛11011⪶≀⋏↹⩛10443≃(↹⩛31343⫥∨⫟↹⩛30520)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":184,"operation_count":3,"complexity_ratio":61.333333333333336,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1519,"base":6},"right_expr":{"type":"numeric_atoms","value":1467,"base":6}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4239,"base":6},"right_expr":{"type":"numeric_atoms","value":4080,"base":6}}},"used_operators":["YbVcJGFEVW","zR4jO40bMj","KYD54nUTWz"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1519","layer":2},{"info":"number node, value=1467","layer":2},{"info":"compute binary expreesion, left_input=1519, right_input=1467, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-7723","layer":1},{"info":"number node, value=4239","layer":2},{"info":"number node, value=4080","layer":2},{"info":"compute binary expreesion, left_input=4239, right_input=4080, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-7723, 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":6,"result_base":6,"text":"↹⩛11011⪶≀⋏↹⩛10443≃(↹⩛31343⫥∨⫟↹⩛30520)=NaN","reverse_text":"NaN=↹⩛11011⪶≀⋏↹⩛10443≃(↹⩛31343⫥∨⫟↹⩛30520)","cot":[{"info":"↹⩛11011⪶≀⋏↹⩛10443=↹⩛-55431","layer":1},{"info":"↹⩛31343⫥∨⫟↹⩛30520=NaN","layer":1},{"info":"↹⩛-55431≃NaN=NaN","layer":0}]}
{"id":86,"expression_no_base_symbol":"≀↧⇸($1095$⊟⇱)","expression":"≀↧⇸(↹⩛5023⊟⇱)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14,"operation_count":2,"complexity_ratio":7.0,"tree":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":1095,"base":6}}},"used_operators":["ljTHtUsqzn","03sUfWo75k"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","IWmyXbctLI"],"result":"↹⩛35112","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1095","layer":2},{"info":"compute unary expreesion, input=1095, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=2506","layer":1},{"info":"compute unary expreesion, input=2506, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=5012","layer":0}],"base":6,"result_base":6,"text":"≀↧⇸(↹⩛5023⊟⇱)=↹⩛35112","reverse_text":"↹⩛35112=≀↧⇸(↹⩛5023⊟⇱)","cot":[{"info":"↹⩛5023⊟⇱=↹⩛15334","layer":1},{"info":"≀↧⇸↹⩛15334=↹⩛35112","layer":0}]}
{"id":87,"expression_no_base_symbol":"$1467$⩼⇪↪$1315$↸$4024$⪃⊛⇣$2697$","expression":"↹⩛10443⩼⇪↪↹⩛10031↸↹⩛30344⪃⊛⇣↹⩛20253","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1821,"operation_count":3,"complexity_ratio":607.0,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1467,"base":6},"right_expr":{"type":"numeric_atoms","value":1315,"base":6}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":4024,"base":6},"right_expr":{"type":"numeric_atoms","value":2697,"base":6}}},"used_operators":["1eCjFl0mb9","ocnLzx9CaJ","rrgAzCduG9"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"↹⩛-52354","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1467","layer":2},{"info":"number node, value=1315","layer":2},{"info":"compute binary expreesion, left_input=1467, right_input=1315, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-7054","layer":1},{"info":"number node, value=4024","layer":2},{"info":"number node, value=2697","layer":2},{"info":"compute binary expreesion, left_input=4024, right_input=2697, 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=-7054, right_input=1234, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-7054","layer":0}],"base":6,"result_base":6,"text":"↹⩛10443⩼⇪↪↹⩛10031↸↹⩛30344⪃⊛⇣↹⩛20253=↹⩛-52354","reverse_text":"↹⩛-52354=↹⩛10443⩼⇪↪↹⩛10031↸↹⩛30344⪃⊛⇣↹⩛20253","cot":[{"info":"↹⩛10443⩼⇪↪↹⩛10031=↹⩛-52354","layer":1},{"info":"↹⩛30344⪃⊛⇣↹⩛20253=↹⩛5414","layer":1},{"info":"↹⩛-52354↸↹⩛5414=↹⩛-52354","layer":0}]}
{"id":88,"expression_no_base_symbol":"$1866$⇂≾⫗$6069$⊍⩺⋍(↽≂$1004$)","expression":"↹⩛12350⇂≾⫗↹⩛44033⊍⩺⋍(↽≂↹⩛4352)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":276,"operation_count":3,"complexity_ratio":92.0,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1866,"base":6},"right_expr":{"type":"numeric_atoms","value":6069,"base":6}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1004,"base":6}}},"used_operators":["OXDGMFPWZM","aBQ6xLxuTc","u6S6b8DprG"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1866","layer":2},{"info":"number node, value=6069","layer":2},{"info":"compute binary expreesion, left_input=1866, right_input=6069, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"number node, value=1004","layer":2},{"info":"compute unary expreesion, input=1004, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2008","layer":1},{"info":"compute binary expreesion, left_input=-676, right_input=-2008, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛12350⇂≾⫗↹⩛44033⊍⩺⋍(↽≂↹⩛4352)=NaN","reverse_text":"NaN=↹⩛12350⇂≾⫗↹⩛44033⊍⩺⋍(↽≂↹⩛4352)","cot":[{"info":"↹⩛12350⇂≾⫗↹⩛44033=↹⩛-3044","layer":1},{"info":"↽≂↹⩛4352=↹⩛-13144","layer":1},{"info":"↹⩛-3044⊍⩺⋍↹⩛-13144=NaN","layer":0}]}
{"id":89,"expression_no_base_symbol":"$4847$∛$1509$⨳⩥⨓$4839$⨚⇆$4914$","expression":"↹⩛34235∛↹⩛10553⨳⩥⨓↹⩛34223⨚⇆↹⩛34430","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":33976,"operation_count":3,"complexity_ratio":11325.333333333334,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":4847,"base":6},"right_expr":{"type":"numeric_atoms","value":1509,"base":6}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":4839,"base":6},"right_expr":{"type":"numeric_atoms","value":4914,"base":6}}},"used_operators":["nCS4ZIUYfx","w2537kitQq","lwHaAYXP2r"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4847","layer":2},{"info":"number node, value=1509","layer":2},{"info":"compute binary expreesion, left_input=4847, right_input=1509, 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=4839","layer":2},{"info":"number node, value=4914","layer":2},{"info":"compute binary expreesion, left_input=4839, right_input=4914, 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=67, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛34235∛↹⩛10553⨳⩥⨓↹⩛34223⨚⇆↹⩛34430=NaN","reverse_text":"NaN=↹⩛34235∛↹⩛10553⨳⩥⨓↹⩛34223⨚⇆↹⩛34430","cot":[{"info":"↹⩛34235∛↹⩛10553=↹⩛151","layer":1},{"info":"↹⩛34223⨚⇆↹⩛34430=NaN","layer":1},{"info":"↹⩛151⨳⩥⨓NaN=NaN","layer":0}]}
{"id":90,"expression_no_base_symbol":"≱⇩⩕$1609$≴⪞⇿$2174$","expression":"≱⇩⩕↹⩛11241≴⪞⇿↹⩛14022","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1397,"operation_count":2,"complexity_ratio":698.5,"tree":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1609,"base":6},"right_expr":{"type":"numeric_atoms","value":2174,"base":6}}},"used_operators":["3DZMoQKiUl","lvlrscuwVU"],"dependent_operators":["AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"↹⩛305","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1609","layer":2},{"info":"number node, value=2174","layer":2},{"info":"compute binary expreesion, left_input=1609, right_input=2174, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=3570026","layer":1},{"info":"compute unary expreesion, input=3570026, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":0}],"base":6,"result_base":6,"text":"≱⇩⩕↹⩛11241≴⪞⇿↹⩛14022=↹⩛305","reverse_text":"↹⩛305=≱⇩⩕↹⩛11241≴⪞⇿↹⩛14022","cot":[{"info":"↹⩛11241≴⪞⇿↹⩛14022=↹⩛204303522","layer":1},{"info":"≱⇩⩕↹⩛204303522=↹⩛305","layer":0}]}
{"id":91,"expression_no_base_symbol":"⊵⊁($3182$⇐≅)","expression":"⊵⊁(↹⩛22422⇐≅)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":38,"operation_count":2,"complexity_ratio":19.0,"tree":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"numeric_atoms","value":3182,"base":6}}},"used_operators":["AvED76WdY7","wEfv7U73WA"],"dependent_operators":["uBihLCJcMX","k8jYdgA6NY","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI"],"result":"↹⩛1111154","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3182","layer":2},{"info":"compute unary expreesion, input=3182, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=9514","layer":1},{"info":"compute unary expreesion, input=9514, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=56014","layer":0}],"base":6,"result_base":6,"text":"⊵⊁(↹⩛22422⇐≅)=↹⩛1111154","reverse_text":"↹⩛1111154=⊵⊁(↹⩛22422⇐≅)","cot":[{"info":"↹⩛22422⇐≅=↹⩛112014","layer":1},{"info":"⊵⊁↹⩛112014=↹⩛1111154","layer":0}]}
{"id":92,"expression_no_base_symbol":"($5779$↓$2070$)⪔⊥$1966$⫞⩸⩒$1451$","expression":"(↹⩛42431↓↹⩛13330)⪔⊥↹⩛13034⫞⩸⩒↹⩛10415","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":29312,"operation_count":3,"complexity_ratio":9770.666666666666,"tree":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":5779,"base":6},"right_expr":{"type":"numeric_atoms","value":2070,"base":6}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1966,"base":6},"right_expr":{"type":"numeric_atoms","value":1451,"base":6}}},"used_operators":["HJ9erzHUuu","Af076pWI7l","XGcMNugi78"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK"],"result":"↹⩛-24501","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5779","layer":2},{"info":"number node, value=2070","layer":2},{"info":"compute binary expreesion, left_input=5779, right_input=2070, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"number node, value=1966","layer":2},{"info":"number node, value=1451","layer":2},{"info":"compute binary expreesion, left_input=1966, right_input=1451, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1451","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=1451, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-3637","layer":0}],"base":6,"result_base":6,"text":"(↹⩛42431↓↹⩛13330)⪔⊥↹⩛13034⫞⩸⩒↹⩛10415=↹⩛-24501","reverse_text":"↹⩛-24501=(↹⩛42431↓↹⩛13330)⪔⊥↹⩛13034⫞⩸⩒↹⩛10415","cot":[{"info":"↹⩛42431↓↹⩛13330=↹⩛-342","layer":1},{"info":"↹⩛13034⫞⩸⩒↹⩛10415=↹⩛10415","layer":1},{"info":"↹⩛-342⪔⊥↹⩛10415=↹⩛-24501","layer":0}]}
{"id":93,"expression_no_base_symbol":"($3792$⫠)⇂≾⫗(→⩰$1731$)","expression":"(↹⩛25320⫠)⇂≾⫗(→⩰↹⩛12003)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":55298,"operation_count":3,"complexity_ratio":18432.666666666668,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":3792,"base":6}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":1731,"base":6}}},"used_operators":["aBQ6xLxuTc","6SnOT2rOjz","o8Pngz0Tml"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3792","layer":2},{"info":"compute unary expreesion, input=3792, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":1},{"info":"number node, value=1731","layer":2},{"info":"compute unary expreesion, input=1731, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛25320⫠)⇂≾⫗(→⩰↹⩛12003)=NaN","reverse_text":"NaN=(↹⩛25320⫠)⇂≾⫗(→⩰↹⩛12003)","cot":[{"info":"↹⩛25320⫠=↹⩛0","layer":1},{"info":"→⩰↹⩛12003=NaN","layer":1},{"info":"↹⩛0⇂≾⫗NaN=NaN","layer":0}]}
{"id":94,"expression_no_base_symbol":"$2725$⨚$6664$⨟⋌⩍($3582$⊍⩺⋍$1009$)","expression":"↹⩛20341⨚↹⩛50504⨟⋌⩍(↹⩛24330⊍⩺⋍↹⩛4401)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":224,"operation_count":3,"complexity_ratio":74.66666666666667,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":2725,"base":6},"right_expr":{"type":"numeric_atoms","value":6664,"base":6}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3582,"base":6},"right_expr":{"type":"numeric_atoms","value":1009,"base":6}}},"used_operators":["rGHVDoGpnC","nREPSIbpBE","OXDGMFPWZM"],"dependent_operators":["Tcnh7f0tEr","BjRHVeLaeN","12rbrZMWeM","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2725","layer":2},{"info":"number node, value=6664","layer":2},{"info":"compute binary expreesion, left_input=2725, right_input=6664, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-20272","layer":1},{"info":"number node, value=3582","layer":2},{"info":"number node, value=1009","layer":2},{"info":"compute binary expreesion, left_input=3582, right_input=1009, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-20272, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛20341⨚↹⩛50504⨟⋌⩍(↹⩛24330⊍⩺⋍↹⩛4401)=NaN","reverse_text":"NaN=↹⩛20341⨚↹⩛50504⨟⋌⩍(↹⩛24330⊍⩺⋍↹⩛4401)","cot":[{"info":"↹⩛20341⨚↹⩛50504=↹⩛-233504","layer":1},{"info":"↹⩛24330⊍⩺⋍↹⩛4401=NaN","layer":1},{"info":"↹⩛-233504⨟⋌⩍NaN=NaN","layer":0}]}
{"id":95,"expression_no_base_symbol":"⊗(⪭⩑⪱$1802$)","expression":"⊗(⪭⩑⪱↹⩛12202)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":24514,"operation_count":2,"complexity_ratio":12257.0,"tree":{"type":"unary","operator":"⊗","unary_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":1802,"base":6}}},"used_operators":["RhiyfpczSx","SIgE0bArFf"],"dependent_operators":["nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9"],"result":"↹⩛-1352404000","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1802","layer":2},{"info":"compute unary expreesion, input=1802, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"compute unary expreesion, input=8320752, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-16641504","layer":0}],"base":6,"result_base":6,"text":"⊗(⪭⩑⪱↹⩛12202)=↹⩛-1352404000","reverse_text":"↹⩛-1352404000=⊗(⪭⩑⪱↹⩛12202)","cot":[{"info":"⪭⩑⪱↹⩛12202=↹⩛454202000","layer":1},{"info":"⊗↹⩛454202000=↹⩛-1352404000","layer":0}]}
{"id":96,"expression_no_base_symbol":"($2108$⫚↹⊑$7523$)⫗⊷⫓(∐⩳⋚$7948$)","expression":"(↹⩛13432⫚↹⊑↹⩛54455)⫗⊷⫓(∐⩳⋚↹⩛100444)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":90371,"operation_count":3,"complexity_ratio":30123.666666666668,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2108,"base":6},"right_expr":{"type":"numeric_atoms","value":7523,"base":6}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":7948,"base":6}}},"used_operators":["zashukvMKz","dfKe02y8D2","SL6IHkK8vl"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf"],"result":"↹⩛-342","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2108","layer":2},{"info":"number node, value=7523","layer":2},{"info":"compute binary expreesion, left_input=2108, right_input=7523, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"number node, value=7948","layer":2},{"info":"compute unary expreesion, input=7948, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=1181765","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=1181765, 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":6,"result_base":6,"text":"(↹⩛13432⫚↹⊑↹⩛54455)⫗⊷⫓(∐⩳⋚↹⩛100444)=↹⩛-342","reverse_text":"↹⩛-342=(↹⩛13432⫚↹⊑↹⩛54455)⫗⊷⫓(∐⩳⋚↹⩛100444)","cot":[{"info":"↹⩛13432⫚↹⊑↹⩛54455=↹⩛-2023","layer":1},{"info":"∐⩳⋚↹⩛100444=↹⩛41155045","layer":1},{"info":"↹⩛-2023⫗⊷⫓↹⩛41155045=↹⩛-342","layer":0}]}
{"id":97,"expression_no_base_symbol":"($1462$⨚⇆$2951$)⫁⪎(⪹$1228$)","expression":"(↹⩛10434⨚⇆↹⩛21355)⫁⪎(⪹↹⩛5404)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10275,"operation_count":3,"complexity_ratio":3425.0,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1462,"base":6},"right_expr":{"type":"numeric_atoms","value":2951,"base":6}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1228,"base":6}}},"used_operators":["xRrnTEsQ6j","lwHaAYXP2r","USyYr0JgAa"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1462","layer":2},{"info":"number node, value=2951","layer":2},{"info":"compute binary expreesion, left_input=1462, right_input=2951, 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=1228","layer":2},{"info":"compute unary expreesion, input=1228, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-1048","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1048, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10434⨚⇆↹⩛21355)⫁⪎(⪹↹⩛5404)=NaN","reverse_text":"NaN=(↹⩛10434⨚⇆↹⩛21355)⫁⪎(⪹↹⩛5404)","cot":[{"info":"↹⩛10434⨚⇆↹⩛21355=NaN","layer":1},{"info":"⪹↹⩛5404=↹⩛-4504","layer":1},{"info":"NaN⫁⪎↹⩛-4504=NaN","layer":0}]}
{"id":98,"expression_no_base_symbol":"$2104$∑⇟⊟$1191$/($2059$⪐)","expression":"↹⩛13424∑⇟⊟↹⩛5303/(↹⩛13311⪐)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2104,"base":6},"right_expr":{"type":"numeric_atoms","value":1191,"base":6}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2059,"base":6}}},"used_operators":["XhwjNDsVaA","U7g4x0WXJJ","eH2TOUuTDT"],"dependent_operators":["rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2104","layer":2},{"info":"number node, value=1191","layer":2},{"info":"compute binary expreesion, left_input=2104, right_input=1191, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=2059","layer":2},{"info":"compute unary expreesion, input=2059, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4118","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4118, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛13424∑⇟⊟↹⩛5303/(↹⩛13311⪐)=NaN","reverse_text":"NaN=↹⩛13424∑⇟⊟↹⩛5303/(↹⩛13311⪐)","cot":[{"info":"↹⩛13424∑⇟⊟↹⩛5303=NaN","layer":1},{"info":"↹⩛13311⪐=↹⩛31022","layer":1},{"info":"NaN/↹⩛31022=NaN","layer":0}]}
{"id":99,"expression_no_base_symbol":"⋣(⊲⪭$5854$)","expression":"⋣(⊲⪭↹⩛43034)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":175,"operation_count":2,"complexity_ratio":87.5,"tree":{"type":"unary","operator":"⋣","unary_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":5854,"base":6}}},"used_operators":["zQWRhDnn8F","k7HXdKtiEU"],"dependent_operators":["vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","i8ToyICDmI","xUOZtlo3hN"],"result":"↹⩛-305","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5854","layer":2},{"info":"compute unary expreesion, input=5854, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-6028","layer":1},{"info":"compute unary expreesion, input=-6028, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":0}],"base":6,"result_base":6,"text":"⋣(⊲⪭↹⩛43034)=↹⩛-305","reverse_text":"↹⩛-305=⋣(⊲⪭↹⩛43034)","cot":[{"info":"⊲⪭↹⩛43034=↹⩛-43524","layer":1},{"info":"⋣↹⩛-43524=↹⩛-305","layer":0}]}
{"id":100,"expression_no_base_symbol":"($4753$⋖∅⋲)⨑≵⋬$5959$⨎$7054$","expression":"(↹⩛34001⋖∅⋲)⨑≵⋬↹⩛43331⨎↹⩛52354","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":186,"operation_count":3,"complexity_ratio":62.0,"tree":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":4753,"base":6}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5959,"base":6},"right_expr":{"type":"numeric_atoms","value":7054,"base":6}}},"used_operators":["XnXgA4xnOs","L95AwlJzhO","rJVOvQCfKK"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"↹⩛-110112242","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4753","layer":2},{"info":"compute unary expreesion, input=4753, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":1},{"info":"number node, value=5959","layer":2},{"info":"number node, value=7054","layer":2},{"info":"compute binary expreesion, left_input=5959, right_input=7054, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7054","layer":1},{"info":"compute binary expreesion, left_input=-384231, right_input=7054, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-1969154","layer":0}],"base":6,"result_base":6,"text":"(↹⩛34001⋖∅⋲)⨑≵⋬↹⩛43331⨎↹⩛52354=↹⩛-110112242","reverse_text":"↹⩛-110112242=(↹⩛34001⋖∅⋲)⨑≵⋬↹⩛43331⨎↹⩛52354","cot":[{"info":"↹⩛34001⋖∅⋲=↹⩛-12122503","layer":1},{"info":"↹⩛43331⨎↹⩛52354=↹⩛52354","layer":1},{"info":"↹⩛-12122503⨑≵⋬↹⩛52354=↹⩛-110112242","layer":0}]}
{"id":101,"expression_no_base_symbol":"(⪹$3175$)⊢($1436$≓∲$1372$)","expression":"(⪹↹⩛22411)⊢(↹⩛10352≓∲↹⩛10204)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":76,"operation_count":3,"complexity_ratio":25.333333333333332,"tree":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":3175,"base":6}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1436,"base":6},"right_expr":{"type":"numeric_atoms","value":1372,"base":6}}},"used_operators":["5twsqlHp2o","USyYr0JgAa","s1XTVnmDOJ"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","tifHPKVTfV","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"↹⩛42334","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3175","layer":2},{"info":"compute unary expreesion, input=3175, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-2995","layer":1},{"info":"number node, value=1436","layer":2},{"info":"number node, value=1372","layer":2},{"info":"compute binary expreesion, left_input=1436, right_input=1372, 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=15143","layer":1},{"info":"compute binary expreesion, left_input=-2995, right_input=15143, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=5746","layer":0}],"base":6,"result_base":6,"text":"(⪹↹⩛22411)⊢(↹⩛10352≓∲↹⩛10204)=↹⩛42334","reverse_text":"↹⩛42334=(⪹↹⩛22411)⊢(↹⩛10352≓∲↹⩛10204)","cot":[{"info":"⪹↹⩛22411=↹⩛-21511","layer":1},{"info":"↹⩛10352≓∲↹⩛10204=↹⩛154035","layer":1},{"info":"↹⩛-21511⊢↹⩛154035=↹⩛42334","layer":0}]}
{"id":102,"expression_no_base_symbol":"($2623$≭$2236$)⋣⋖($1000$⪕$1873$)","expression":"(↹⩛20051≭↹⩛14204)⋣⋖(↹⩛4344⪕↹⩛12401)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2623,"base":6},"right_expr":{"type":"numeric_atoms","value":2236,"base":6}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1000,"base":6},"right_expr":{"type":"numeric_atoms","value":1873,"base":6}}},"used_operators":["J0M6qkBnIM","rxpJgHHUmx","umQnsF7QlU"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","AHs5Up7iyr","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2623","layer":2},{"info":"number node, value=2236","layer":2},{"info":"compute binary expreesion, left_input=2623, right_input=2236, 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=1000","layer":2},{"info":"number node, value=1873","layer":2},{"info":"compute binary expreesion, left_input=1000, right_input=1873, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=1028","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1028, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛20051≭↹⩛14204)⋣⋖(↹⩛4344⪕↹⩛12401)=NaN","reverse_text":"NaN=(↹⩛20051≭↹⩛14204)⋣⋖(↹⩛4344⪕↹⩛12401)","cot":[{"info":"↹⩛20051≭↹⩛14204=NaN","layer":1},{"info":"↹⩛4344⪕↹⩛12401=↹⩛4432","layer":1},{"info":"NaN⋣⋖↹⩛4432=NaN","layer":0}]}
{"id":103,"expression_no_base_symbol":"≅≯⇸$5637$⇼⇔∾$2612$","expression":"≅≯⇸↹⩛42033⇼⇔∾↹⩛20032","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16,"operation_count":2,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5637,"base":6},"right_expr":{"type":"numeric_atoms","value":2612,"base":6}}},"used_operators":["apS25hmuAe","tifHPKVTfV"],"dependent_operators":["EBcxylXtPf","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛-32251","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5637","layer":2},{"info":"number node, value=2612","layer":2},{"info":"compute binary expreesion, left_input=5637, right_input=2612, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3025","layer":1},{"info":"compute unary expreesion, input=-3025, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=-4423","layer":0}],"base":6,"result_base":6,"text":"≅≯⇸↹⩛42033⇼⇔∾↹⩛20032=↹⩛-32251","reverse_text":"↹⩛-32251=≅≯⇸↹⩛42033⇼⇔∾↹⩛20032","cot":[{"info":"↹⩛42033⇼⇔∾↹⩛20032=↹⩛-22001","layer":1},{"info":"≅≯⇸↹⩛-22001=↹⩛-32251","layer":0}]}
{"id":104,"expression_no_base_symbol":"(⩒∊$8160$)⋥≓≎$2615$⪕$1299$","expression":"(⩒∊↹⩛101440)⋥≓≎↹⩛20035⪕↹⩛10003","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23,"operation_count":3,"complexity_ratio":7.666666666666667,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":8160,"base":6}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2615,"base":6},"right_expr":{"type":"numeric_atoms","value":1299,"base":6}}},"used_operators":["Qy55tPpLXF","qazvmhNBbN","umQnsF7QlU"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"↹⩛-43054","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=8160","layer":2},{"info":"compute unary expreesion, input=8160, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=15563","layer":1},{"info":"number node, value=2615","layer":2},{"info":"number node, value=1299","layer":2},{"info":"compute binary expreesion, left_input=2615, right_input=1299, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=4832","layer":1},{"info":"compute binary expreesion, left_input=15563, right_input=4832, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-5866","layer":0}],"base":6,"result_base":6,"text":"(⩒∊↹⩛101440)⋥≓≎↹⩛20035⪕↹⩛10003=↹⩛-43054","reverse_text":"↹⩛-43054=(⩒∊↹⩛101440)⋥≓≎↹⩛20035⪕↹⩛10003","cot":[{"info":"⩒∊↹⩛101440=↹⩛200015","layer":1},{"info":"↹⩛20035⪕↹⩛10003=↹⩛34212","layer":1},{"info":"↹⩛200015⋥≓≎↹⩛34212=↹⩛-43054","layer":0}]}
{"id":105,"expression_no_base_symbol":"⊖∈($7256$∛≔)","expression":"⊖∈(↹⩛53332∛≔)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":57160,"operation_count":2,"complexity_ratio":28580.0,"tree":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":7256,"base":6}}},"used_operators":["YFxL8Sc2Zy","mGnSCrte3L"],"dependent_operators":["zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=7256","layer":2},{"info":"compute unary expreesion, input=7256, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⊖∈(↹⩛53332∛≔)=NaN","reverse_text":"NaN=⊖∈(↹⩛53332∛≔)","cot":[{"info":"↹⩛53332∛≔=NaN","layer":1},{"info":"⊖∈NaN=NaN","layer":0}]}
{"id":106,"expression_no_base_symbol":"⋂($2131$∷$5564$)","expression":"⋂(↹⩛13511∷↹⩛41432)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":18,"operation_count":2,"complexity_ratio":9.0,"tree":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2131,"base":6},"right_expr":{"type":"numeric_atoms","value":5564,"base":6}}},"used_operators":["BUOGQAYlQx","D3AQDKkPcf"],"dependent_operators":["NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"↹⩛-1353512","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2131","layer":2},{"info":"number node, value=5564","layer":2},{"info":"compute binary expreesion, left_input=2131, right_input=5564, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=5564","layer":1},{"info":"compute unary expreesion, input=5564, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-77300","layer":0}],"base":6,"result_base":6,"text":"⋂(↹⩛13511∷↹⩛41432)=↹⩛-1353512","reverse_text":"↹⩛-1353512=⋂(↹⩛13511∷↹⩛41432)","cot":[{"info":"↹⩛13511∷↹⩛41432=↹⩛41432","layer":1},{"info":"⋂↹⩛41432=↹⩛-1353512","layer":0}]}
{"id":107,"expression_no_base_symbol":"$8158$⋥⋵⩄$2141$∷($2093$⪚⩙≫)","expression":"↹⩛101434⋥⋵⩄↹⩛13525∷(↹⩛13405⪚⩙≫)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":42,"operation_count":3,"complexity_ratio":14.0,"tree":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":8158,"base":6},"right_expr":{"type":"numeric_atoms","value":2141,"base":6}},"right_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":2093,"base":6}}},"used_operators":["D3AQDKkPcf","7t3wd0Fuz7","4n53wtyJvv"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=8158","layer":2},{"info":"number node, value=2141","layer":2},{"info":"compute binary expreesion, left_input=8158, right_input=2141, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":1},{"info":"number node, value=2093","layer":2},{"info":"compute unary expreesion, input=2093, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛101434⋥⋵⩄↹⩛13525∷(↹⩛13405⪚⩙≫)=NaN","reverse_text":"NaN=↹⩛101434⋥⋵⩄↹⩛13525∷(↹⩛13405⪚⩙≫)","cot":[{"info":"↹⩛101434⋥⋵⩄↹⩛13525=↹⩛305","layer":1},{"info":"↹⩛13405⪚⩙≫=NaN","layer":1},{"info":"↹⩛305∷NaN=NaN","layer":0}]}
{"id":108,"expression_no_base_symbol":"$1340$⩨$1629$⊓⋫","expression":"↹⩛10112⩨↹⩛11313⊓⋫","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":28,"operation_count":2,"complexity_ratio":14.0,"tree":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1340,"base":6},"right_expr":{"type":"numeric_atoms","value":1629,"base":6}}},"used_operators":["IqGBaFP0uj","2DlMacCsIx"],"dependent_operators":["2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"↹⩛-325","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1340","layer":2},{"info":"number node, value=1629","layer":2},{"info":"compute binary expreesion, left_input=1340, right_input=1629, 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 = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-125","layer":0}],"base":6,"result_base":6,"text":"↹⩛10112⩨↹⩛11313⊓⋫=↹⩛-325","reverse_text":"↹⩛-325=↹⩛10112⩨↹⩛11313⊓⋫","cot":[{"info":"↹⩛10112⩨↹⩛11313=↹⩛-3","layer":1},{"info":"↹⩛-3⊓⋫=↹⩛-325","layer":0}]}
{"id":109,"expression_no_base_symbol":"($2449$⊨$2553$)⩼⇪↪(⩪∧⨌$1049$)","expression":"(↹⩛15201⊨↹⩛15453)⩼⇪↪(⩪∧⨌↹⩛4505)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":30,"operation_count":3,"complexity_ratio":10.0,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":2449,"base":6},"right_expr":{"type":"numeric_atoms","value":2553,"base":6}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":1049,"base":6}}},"used_operators":["ocnLzx9CaJ","vg4gO5BX6G","6iOiAJX1F8"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj"],"result":"↹⩛-1043155","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2449","layer":2},{"info":"number node, value=2553","layer":2},{"info":"compute binary expreesion, left_input=2449, right_input=2553, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=10827","layer":1},{"info":"number node, value=1049","layer":2},{"info":"compute unary expreesion, input=1049, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=10490","layer":1},{"info":"compute binary expreesion, left_input=10827, right_input=10490, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-52559","layer":0}],"base":6,"result_base":6,"text":"(↹⩛15201⊨↹⩛15453)⩼⇪↪(⩪∧⨌↹⩛4505)=↹⩛-1043155","reverse_text":"↹⩛-1043155=(↹⩛15201⊨↹⩛15453)⩼⇪↪(⩪∧⨌↹⩛4505)","cot":[{"info":"↹⩛15201⊨↹⩛15453=↹⩛122043","layer":1},{"info":"⩪∧⨌↹⩛4505=↹⩛120322","layer":1},{"info":"↹⩛122043⩼⇪↪↹⩛120322=↹⩛-1043155","layer":0}]}
{"id":110,"expression_no_base_symbol":"$2135$⨚$3356$⫚⫇","expression":"↹⩛13515⨚↹⩛23312⫚⫇","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":26,"operation_count":2,"complexity_ratio":13.0,"tree":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":2135,"base":6},"right_expr":{"type":"numeric_atoms","value":3356,"base":6}}},"used_operators":["SdCjLnB6rR","nREPSIbpBE"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","BjRHVeLaeN","12rbrZMWeM"],"result":"↹⩛-2230","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2135","layer":2},{"info":"number node, value=3356","layer":2},{"info":"compute binary expreesion, left_input=2135, right_input=3356, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-8220","layer":1},{"info":"compute unary expreesion, input=-8220, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=-522","layer":0}],"base":6,"result_base":6,"text":"↹⩛13515⨚↹⩛23312⫚⫇=↹⩛-2230","reverse_text":"↹⩛-2230=↹⩛13515⨚↹⩛23312⫚⫇","cot":[{"info":"↹⩛13515⨚↹⩛23312=↹⩛-102020","layer":1},{"info":"↹⩛-102020⫚⫇=↹⩛-2230","layer":0}]}
{"id":111,"expression_no_base_symbol":"⩦⊞($3185$+⇶⊼$1775$)","expression":"⩦⊞(↹⩛22425+⇶⊼↹⩛12115)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":2,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3185,"base":6},"right_expr":{"type":"numeric_atoms","value":1775,"base":6}}},"used_operators":["u7fv1HBiaC","TpPTUOHfaN"],"dependent_operators":["eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3185","layer":2},{"info":"number node, value=1775","layer":2},{"info":"compute binary expreesion, left_input=3185, right_input=1775, 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 = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⩦⊞(↹⩛22425+⇶⊼↹⩛12115)=NaN","reverse_text":"NaN=⩦⊞(↹⩛22425+⇶⊼↹⩛12115)","cot":[{"info":"↹⩛22425+⇶⊼↹⩛12115=NaN","layer":1},{"info":"⩦⊞NaN=NaN","layer":0}]}
{"id":112,"expression_no_base_symbol":"(⫯$4439$)≀⫉($6488$-$1498$)","expression":"(⫯↹⩛32315)≀⫉(↹⩛50012-↹⩛10534)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":211,"operation_count":3,"complexity_ratio":70.33333333333333,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":4439,"base":6}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6488,"base":6},"right_expr":{"type":"numeric_atoms","value":1498,"base":6}}},"used_operators":["oZj3VtZNQx","H6BK1Evt7c","rysDP5nf3Z"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe"],"result":"↹⩛21022","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4439","layer":2},{"info":"compute unary expreesion, input=4439, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-171650","layer":1},{"info":"number node, value=6488","layer":2},{"info":"number node, value=1498","layer":2},{"info":"compute binary expreesion, left_input=6488, right_input=1498, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4990","layer":1},{"info":"compute binary expreesion, left_input=-171650, right_input=4990, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":0}],"base":6,"result_base":6,"text":"(⫯↹⩛32315)≀⫉(↹⩛50012-↹⩛10534)=↹⩛21022","reverse_text":"↹⩛21022=(⫯↹⩛32315)≀⫉(↹⩛50012-↹⩛10534)","cot":[{"info":"⫯↹⩛32315=↹⩛-3402402","layer":1},{"info":"↹⩛50012-↹⩛10534=↹⩛35034","layer":1},{"info":"↹⩛-3402402≀⫉↹⩛35034=↹⩛21022","layer":0}]}
{"id":113,"expression_no_base_symbol":"$3580$⨟⋌⩍$1900$⊦⊿","expression":"↹⩛24324⨟⋌⩍↹⩛12444⊦⊿","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3580,"base":6},"right_expr":{"type":"numeric_atoms","value":1900,"base":6}}},"used_operators":["14qkJME0vr","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3580","layer":2},{"info":"number node, value=1900","layer":2},{"info":"compute binary expreesion, left_input=3580, right_input=1900, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛24324⨟⋌⩍↹⩛12444⊦⊿=NaN","reverse_text":"NaN=↹⩛24324⨟⋌⩍↹⩛12444⊦⊿","cot":[{"info":"↹⩛24324⨟⋌⩍↹⩛12444=NaN","layer":1},{"info":"NaN⊦⊿=NaN","layer":0}]}
{"id":114,"expression_no_base_symbol":"($5317$∽$2136$)⩷∴($3302$≀⩗∶$4542$)","expression":"(↹⩛40341∽↹⩛13520)⩷∴(↹⩛23142≀⩗∶↹⩛33010)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29,"operation_count":3,"complexity_ratio":9.666666666666666,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":5317,"base":6},"right_expr":{"type":"numeric_atoms","value":2136,"base":6}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":3302,"base":6},"right_expr":{"type":"numeric_atoms","value":4542,"base":6}}},"used_operators":["9FxExcQeMw","y4ImoPnbV5","8INZBEW696"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","QMFrweE19q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"↹⩛-1223544","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5317","layer":2},{"info":"number node, value=2136","layer":2},{"info":"compute binary expreesion, left_input=5317, right_input=2136, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-32815","layer":1},{"info":"number node, value=3302","layer":2},{"info":"number node, value=4542","layer":2},{"info":"compute binary expreesion, left_input=3302, right_input=4542, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":1},{"info":"compute binary expreesion, left_input=-32815, right_input=-3, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-65656","layer":0}],"base":6,"result_base":6,"text":"(↹⩛40341∽↹⩛13520)⩷∴(↹⩛23142≀⩗∶↹⩛33010)=↹⩛-1223544","reverse_text":"↹⩛-1223544=(↹⩛40341∽↹⩛13520)⩷∴(↹⩛23142≀⩗∶↹⩛33010)","cot":[{"info":"↹⩛40341∽↹⩛13520=↹⩛-411531","layer":1},{"info":"↹⩛23142≀⩗∶↹⩛33010=↹⩛-3","layer":1},{"info":"↹⩛-411531⩷∴↹⩛-3=↹⩛-1223544","layer":0}]}
{"id":115,"expression_no_base_symbol":"$5148$≁$7439$⪛⫼$6176$⨟⋌⩍$4051$","expression":"↹⩛35500≁↹⩛54235⪛⫼↹⩛44332⨟⋌⩍↹⩛30431","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3385,"operation_count":3,"complexity_ratio":1128.3333333333333,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":5148,"base":6},"right_expr":{"type":"numeric_atoms","value":7439,"base":6}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6176,"base":6},"right_expr":{"type":"numeric_atoms","value":4051,"base":6}}},"used_operators":["hyuBjUqXlG","8N2wDY1A35","rGHVDoGpnC"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5148","layer":2},{"info":"number node, value=7439","layer":2},{"info":"compute binary expreesion, left_input=5148, right_input=7439, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=165335","layer":1},{"info":"number node, value=6176","layer":2},{"info":"number node, value=4051","layer":2},{"info":"compute binary expreesion, left_input=6176, right_input=4051, 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=165335, right_input=nan, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛35500≁↹⩛54235⪛⫼↹⩛44332⨟⋌⩍↹⩛30431=NaN","reverse_text":"NaN=↹⩛35500≁↹⩛54235⪛⫼↹⩛44332⨟⋌⩍↹⩛30431","cot":[{"info":"↹⩛35500≁↹⩛54235=↹⩛3313235","layer":1},{"info":"↹⩛44332⨟⋌⩍↹⩛30431=NaN","layer":1},{"info":"↹⩛3313235⪛⫼NaN=NaN","layer":0}]}
{"id":116,"expression_no_base_symbol":"$6384$⋝⋈⪟$3108$⪒$1080$⋳⪒$1489$","expression":"↹⩛45320⋝⋈⪟↹⩛22220⪒↹⩛5000⋳⪒↹⩛10521","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6384,"base":6},"right_expr":{"type":"numeric_atoms","value":3108,"base":6}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1080,"base":6},"right_expr":{"type":"numeric_atoms","value":1489,"base":6}}},"used_operators":["f6k1SAg4EE","2DDjHMKMc0","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛-51200","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6384","layer":2},{"info":"number node, value=3108","layer":2},{"info":"compute binary expreesion, left_input=6384, right_input=3108, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6384","layer":1},{"info":"number node, value=1080","layer":2},{"info":"number node, value=1489","layer":2},{"info":"compute binary expreesion, left_input=1080, right_input=1489, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=384","layer":1},{"info":"compute binary expreesion, left_input=6384, right_input=384, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6768","layer":0}],"base":6,"result_base":6,"text":"↹⩛45320⋝⋈⪟↹⩛22220⪒↹⩛5000⋳⪒↹⩛10521=↹⩛-51200","reverse_text":"↹⩛-51200=↹⩛45320⋝⋈⪟↹⩛22220⪒↹⩛5000⋳⪒↹⩛10521","cot":[{"info":"↹⩛45320⋝⋈⪟↹⩛22220=↹⩛45320","layer":1},{"info":"↹⩛5000⋳⪒↹⩛10521=↹⩛1440","layer":1},{"info":"↹⩛45320⪒↹⩛1440=↹⩛-51200","layer":0}]}
{"id":117,"expression_no_base_symbol":"$1188$⊲⩕⊾$1287$⨰(⊥$2690$)","expression":"↹⩛5300⊲⩕⊾↹⩛5543⨰(⊥↹⩛20242)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":32,"operation_count":3,"complexity_ratio":10.666666666666666,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1188,"base":6},"right_expr":{"type":"numeric_atoms","value":1287,"base":6}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2690,"base":6}}},"used_operators":["eewbuw0ToL","DmTXOeWf9t","Q3PJZHRvZv"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1188","layer":2},{"info":"number node, value=1287","layer":2},{"info":"compute binary expreesion, left_input=1188, right_input=1287, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-28508","layer":1},{"info":"number node, value=2690","layer":2},{"info":"compute unary expreesion, input=2690, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-28508, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛5300⊲⩕⊾↹⩛5543⨰(⊥↹⩛20242)=NaN","reverse_text":"NaN=↹⩛5300⊲⩕⊾↹⩛5543⨰(⊥↹⩛20242)","cot":[{"info":"↹⩛5300⊲⩕⊾↹⩛5543=↹⩛-335552","layer":1},{"info":"⊥↹⩛20242=NaN","layer":1},{"info":"↹⩛-335552⨰NaN=NaN","layer":0}]}
{"id":118,"expression_no_base_symbol":"(↥$1064$)⩹$6097$∠⫱$5513$","expression":"(↥↹⩛4532)⩹↹⩛44121∠⫱↹⩛41305","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":42,"operation_count":3,"complexity_ratio":14.0,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1064,"base":6}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":6097,"base":6},"right_expr":{"type":"numeric_atoms","value":5513,"base":6}}},"used_operators":["2Wsdkap16l","A8NUZmVepG","QvoQhV0rrE"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","k8jYdgA6NY","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"↹⩛5412","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1064","layer":2},{"info":"compute unary expreesion, input=1064, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=44","layer":1},{"info":"number node, value=6097","layer":2},{"info":"number node, value=5513","layer":2},{"info":"compute binary expreesion, left_input=6097, right_input=5513, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=44, right_input=1234, 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=1232","layer":0}],"base":6,"result_base":6,"text":"(↥↹⩛4532)⩹↹⩛44121∠⫱↹⩛41305=↹⩛5412","reverse_text":"↹⩛5412=(↥↹⩛4532)⩹↹⩛44121∠⫱↹⩛41305","cot":[{"info":"↥↹⩛4532=↹⩛112","layer":1},{"info":"↹⩛44121∠⫱↹⩛41305=↹⩛5414","layer":1},{"info":"↹⩛112⩹↹⩛5414=↹⩛5412","layer":0}]}
{"id":119,"expression_no_base_symbol":"$6138$⊉↱≁$3527$≣⋋","expression":"↹⩛44230⊉↱≁↹⩛24155≣⋋","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":539,"operation_count":2,"complexity_ratio":269.5,"tree":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":6138,"base":6},"right_expr":{"type":"numeric_atoms","value":3527,"base":6}}},"used_operators":["Tcnh7f0tEr","w2P8NbNXyL"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6138","layer":2},{"info":"number node, value=3527","layer":2},{"info":"compute binary expreesion, left_input=6138, right_input=3527, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=40166","layer":1},{"info":"compute unary expreesion, input=40166, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"↹⩛44230⊉↱≁↹⩛24155≣⋋=↹⩛0","reverse_text":"↹⩛0=↹⩛44230⊉↱≁↹⩛24155≣⋋","cot":[{"info":"↹⩛44230⊉↱≁↹⩛24155=↹⩛505542","layer":1},{"info":"↹⩛505542≣⋋=↹⩛0","layer":0}]}
{"id":120,"expression_no_base_symbol":"⨮↦↱($6168$⊋$3020$)","expression":"⨮↦↱(↹⩛44320⊋↹⩛21552)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":74951448,"operation_count":2,"complexity_ratio":37475724.0,"tree":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":6168,"base":6},"right_expr":{"type":"numeric_atoms","value":3020,"base":6}}},"used_operators":["sYcpBQ0cFf","W4tP9CfskL"],"dependent_operators":["OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"-Inf","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6168","layer":2},{"info":"number node, value=3020","layer":2},{"info":"compute binary expreesion, left_input=6168, right_input=3020, 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=74945492","layer":1},{"info":"compute unary expreesion, input=74945492, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-inf","layer":0}],"base":6,"result_base":6,"text":"⨮↦↱(↹⩛44320⊋↹⩛21552)=-Inf","reverse_text":"-Inf=⨮↦↱(↹⩛44320⊋↹⩛21552)","cot":[{"info":"↹⩛44320⊋↹⩛21552=↹⩛11234201512","layer":1},{"info":"⨮↦↱↹⩛11234201512=-Inf","layer":0}]}
{"id":121,"expression_no_base_symbol":"$2797$≀⩗∶$4417$⊭↱$2138$⫥∨⫟$3727$","expression":"↹⩛20541≀⩗∶↹⩛32241⊭↱↹⩛13522⫥∨⫟↹⩛25131","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":173,"operation_count":3,"complexity_ratio":57.666666666666664,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":2797,"base":6},"right_expr":{"type":"numeric_atoms","value":4417,"base":6}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2138,"base":6},"right_expr":{"type":"numeric_atoms","value":3727,"base":6}}},"used_operators":["COABgblf1C","8INZBEW696","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2797","layer":2},{"info":"number node, value=4417","layer":2},{"info":"compute binary expreesion, left_input=2797, right_input=4417, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":1},{"info":"number node, value=2138","layer":2},{"info":"number node, value=3727","layer":2},{"info":"compute binary expreesion, left_input=2138, right_input=3727, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛20541≀⩗∶↹⩛32241⊭↱↹⩛13522⫥∨⫟↹⩛25131=NaN","reverse_text":"NaN=↹⩛20541≀⩗∶↹⩛32241⊭↱↹⩛13522⫥∨⫟↹⩛25131","cot":[{"info":"↹⩛20541≀⩗∶↹⩛32241=↹⩛-3","layer":1},{"info":"↹⩛13522⫥∨⫟↹⩛25131=NaN","layer":1},{"info":"↹⩛-3⊭↱NaN=NaN","layer":0}]}
{"id":122,"expression_no_base_symbol":"($2668$⊔$2121$)⇗⋫","expression":"(↹⩛20204⊔↹⩛13453)⇗⋫","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":18,"operation_count":2,"complexity_ratio":9.0,"tree":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2668,"base":6},"right_expr":{"type":"numeric_atoms","value":2121,"base":6}}},"used_operators":["hpqmaQFPrd","E4l6HwMY31"],"dependent_operators":["rxpJgHHUmx","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2668","layer":2},{"info":"number node, value=2121","layer":2},{"info":"compute binary expreesion, left_input=2668, right_input=2121, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=13541","layer":1},{"info":"compute unary expreesion, input=13541, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛20204⊔↹⩛13453)⇗⋫=NaN","reverse_text":"NaN=(↹⩛20204⊔↹⩛13453)⇗⋫","cot":[{"info":"↹⩛20204⊔↹⩛13453=↹⩛142405","layer":1},{"info":"↹⩛142405⇗⋫=NaN","layer":0}]}
{"id":123,"expression_no_base_symbol":"⪫⨮⊛($3154$⫡⨏$2404$)","expression":"⪫⨮⊛(↹⩛22334⫡⨏↹⩛15044)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6487011,"operation_count":2,"complexity_ratio":3243505.5,"tree":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3154,"base":6},"right_expr":{"type":"numeric_atoms","value":2404,"base":6}}},"used_operators":["w5FWba1tyO","QMFrweE19q"],"dependent_operators":["s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3154","layer":2},{"info":"number node, value=2404","layer":2},{"info":"compute binary expreesion, left_input=3154, right_input=2404, 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=21361","layer":1},{"info":"compute unary expreesion, input=21361, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⪫⨮⊛(↹⩛22334⫡⨏↹⩛15044)=NaN","reverse_text":"NaN=⪫⨮⊛(↹⩛22334⫡⨏↹⩛15044)","cot":[{"info":"↹⩛22334⫡⨏↹⩛15044=↹⩛242521","layer":1},{"info":"⪫⨮⊛↹⩛242521=NaN","layer":0}]}
{"id":124,"expression_no_base_symbol":"≉($3000$⫦⪉$4947$)","expression":"≉(↹⩛21520⫦⪉↹⩛34523)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":24,"operation_count":2,"complexity_ratio":12.0,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":3000,"base":6},"right_expr":{"type":"numeric_atoms","value":4947,"base":6}}},"used_operators":["e1ybzncUwg","wscyQdcy20"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"↹⩛-5032","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3000","layer":2},{"info":"number node, value=4947","layer":2},{"info":"compute binary expreesion, left_input=3000, right_input=4947, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-1100","layer":1},{"info":"compute unary expreesion, input=-1100, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-1100","layer":0}],"base":6,"result_base":6,"text":"≉(↹⩛21520⫦⪉↹⩛34523)=↹⩛-5032","reverse_text":"↹⩛-5032=≉(↹⩛21520⫦⪉↹⩛34523)","cot":[{"info":"↹⩛21520⫦⪉↹⩛34523=↹⩛-5032","layer":1},{"info":"≉↹⩛-5032=↹⩛-5032","layer":0}]}
{"id":125,"expression_no_base_symbol":"$1280$⩺⪪$1098$⪨≂($2431$⇡)","expression":"↹⩛5532⩺⪪↹⩛5030⪨≂(↹⩛15131⇡)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":202,"operation_count":3,"complexity_ratio":67.33333333333333,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1280,"base":6},"right_expr":{"type":"numeric_atoms","value":1098,"base":6}},"right_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"numeric_atoms","value":2431,"base":6}}},"used_operators":["sdazOOVcIp","uvdQJvN4PV","UqFzSgLMvQ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu"],"result":"↹⩛-11444","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1280","layer":2},{"info":"number node, value=1098","layer":2},{"info":"compute binary expreesion, left_input=1280, right_input=1098, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-3810","layer":1},{"info":"number node, value=2431","layer":2},{"info":"compute unary expreesion, input=2431, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":1},{"info":"compute binary expreesion, left_input=-3810, right_input=-2917, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1684","layer":0}],"base":6,"result_base":6,"text":"↹⩛5532⩺⪪↹⩛5030⪨≂(↹⩛15131⇡)=↹⩛-11444","reverse_text":"↹⩛-11444=↹⩛5532⩺⪪↹⩛5030⪨≂(↹⩛15131⇡)","cot":[{"info":"↹⩛5532⩺⪪↹⩛5030=↹⩛-25350","layer":1},{"info":"↹⩛15131⇡=↹⩛-21301","layer":1},{"info":"↹⩛-25350⪨≂↹⩛-21301=↹⩛-11444","layer":0}]}
{"id":126,"expression_no_base_symbol":"($4109$⩨$4574$)⊮⊟↴($1055$≥⨤⩑$3554$)","expression":"(↹⩛31005⩨↹⩛33102)⊮⊟↴(↹⩛4515≥⨤⩑↹⩛24242)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":57,"operation_count":3,"complexity_ratio":19.0,"tree":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4109,"base":6},"right_expr":{"type":"numeric_atoms","value":4574,"base":6}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1055,"base":6},"right_expr":{"type":"numeric_atoms","value":3554,"base":6}}},"used_operators":["QDVgd2eftb","2DlMacCsIx","gJLn6v0xnP"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4109","layer":2},{"info":"number node, value=4574","layer":2},{"info":"compute binary expreesion, left_input=4109, right_input=4574, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":1},{"info":"number node, value=1055","layer":2},{"info":"number node, value=3554","layer":2},{"info":"compute binary expreesion, left_input=1055, right_input=3554, 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=-3, right_input=1234, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"(↹⩛31005⩨↹⩛33102)⊮⊟↴(↹⩛4515≥⨤⩑↹⩛24242)=↹⩛0","reverse_text":"↹⩛0=(↹⩛31005⩨↹⩛33102)⊮⊟↴(↹⩛4515≥⨤⩑↹⩛24242)","cot":[{"info":"↹⩛31005⩨↹⩛33102=↹⩛-3","layer":1},{"info":"↹⩛4515≥⨤⩑↹⩛24242=↹⩛5414","layer":1},{"info":"↹⩛-3⊮⊟↴↹⩛5414=↹⩛0","layer":0}]}
{"id":127,"expression_no_base_symbol":"⨭⩧⫛($4759$≨$7188$)","expression":"⨭⩧⫛(↹⩛34011≨↹⩛53140)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":958,"operation_count":2,"complexity_ratio":479.0,"tree":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":4759,"base":6},"right_expr":{"type":"numeric_atoms","value":7188,"base":6}}},"used_operators":["g21JL6JxX7","0KMCeP1Jsh"],"dependent_operators":["Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4759","layer":2},{"info":"number node, value=7188","layer":2},{"info":"compute binary expreesion, left_input=4759, right_input=7188, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-45114","layer":1},{"info":"compute unary expreesion, input=-45114, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⨭⩧⫛(↹⩛34011≨↹⩛53140)=NaN","reverse_text":"NaN=⨭⩧⫛(↹⩛34011≨↹⩛53140)","cot":[{"info":"↹⩛34011≨↹⩛53140=↹⩛-544510","layer":1},{"info":"⨭⩧⫛↹⩛-544510=NaN","layer":0}]}
{"id":128,"expression_no_base_symbol":"⨣⨃⇪($3049$⇴∐$2521$)","expression":"⨣⨃⇪(↹⩛22041⇴∐↹⩛15401)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":40,"operation_count":2,"complexity_ratio":20.0,"tree":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":3049,"base":6},"right_expr":{"type":"numeric_atoms","value":2521,"base":6}}},"used_operators":["AcOhelriW5","HnzytWxmAO"],"dependent_operators":["s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"↹⩛10301","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3049","layer":2},{"info":"number node, value=2521","layer":2},{"info":"compute binary expreesion, left_input=3049, right_input=2521, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":0}],"base":6,"result_base":6,"text":"⨣⨃⇪(↹⩛22041⇴∐↹⩛15401)=↹⩛10301","reverse_text":"↹⩛10301=⨣⨃⇪(↹⩛22041⇴∐↹⩛15401)","cot":[{"info":"↹⩛22041⇴∐↹⩛15401=NaN","layer":1},{"info":"⨣⨃⇪NaN=↹⩛10301","layer":0}]}
{"id":129,"expression_no_base_symbol":"($5533$⋓$3803$)⫉⨲⊜($5126$≓∲$7316$)","expression":"(↹⩛41341⋓↹⩛25335)⫉⨲⊜(↹⩛35422≓∲↹⩛53512)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":76,"operation_count":3,"complexity_ratio":25.333333333333332,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5533,"base":6},"right_expr":{"type":"numeric_atoms","value":3803,"base":6}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":5126,"base":6},"right_expr":{"type":"numeric_atoms","value":7316,"base":6}}},"used_operators":["WhqkvtTD3t","T2fj7uvVaJ","s1XTVnmDOJ"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5533","layer":2},{"info":"number node, value=3803","layer":2},{"info":"compute binary expreesion, left_input=5533, right_input=3803, 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=5126","layer":2},{"info":"number node, value=7316","layer":2},{"info":"compute binary expreesion, left_input=5126, right_input=7316, 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=52043","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=52043, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"(↹⩛41341⋓↹⩛25335)⫉⨲⊜(↹⩛35422≓∲↹⩛53512)=↹⩛0","reverse_text":"↹⩛0=(↹⩛41341⋓↹⩛25335)⫉⨲⊜(↹⩛35422≓∲↹⩛53512)","cot":[{"info":"↹⩛41341⋓↹⩛25335=↹⩛0","layer":1},{"info":"↹⩛35422≓∲↹⩛53512=↹⩛1040535","layer":1},{"info":"↹⩛0⫉⨲⊜↹⩛1040535=↹⩛0","layer":0}]}
{"id":130,"expression_no_base_symbol":"($2277$⪄$2608$)∝($5289$⫩⊇)","expression":"(↹⩛14313⪄↹⩛20024)∝(↹⩛40253⫩⊇)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":106,"operation_count":3,"complexity_ratio":35.333333333333336,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2277,"base":6},"right_expr":{"type":"numeric_atoms","value":2608,"base":6}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":5289,"base":6}}},"used_operators":["cTDWOvIxvz","SUmda5xLS4","BjRHVeLaeN"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛-11210200","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2277","layer":2},{"info":"number node, value=2608","layer":2},{"info":"compute binary expreesion, left_input=2277, right_input=2608, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-343517","layer":1},{"info":"number node, value=5289","layer":2},{"info":"compute unary expreesion, input=5289, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-5247","layer":1},{"info":"compute binary expreesion, left_input=-343517, right_input=-5247, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-343512","layer":0}],"base":6,"result_base":6,"text":"(↹⩛14313⪄↹⩛20024)∝(↹⩛40253⫩⊇)=↹⩛-11210200","reverse_text":"↹⩛-11210200=(↹⩛14313⪄↹⩛20024)∝(↹⩛40253⫩⊇)","cot":[{"info":"↹⩛14313⪄↹⩛20024=↹⩛-11210205","layer":1},{"info":"↹⩛40253⫩⊇=↹⩛-40143","layer":1},{"info":"↹⩛-11210205∝↹⩛-40143=↹⩛-11210200","layer":0}]}
{"id":131,"expression_no_base_symbol":"$1036$↳≱$2563$∖$1164$⨿$5416$","expression":"↹⩛4444↳≱↹⩛15511∖↹⩛5220⨿↹⩛41024","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":479,"operation_count":3,"complexity_ratio":159.66666666666666,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1036,"base":6},"right_expr":{"type":"numeric_atoms","value":2563,"base":6}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1164,"base":6},"right_expr":{"type":"numeric_atoms","value":5416,"base":6}}},"used_operators":["tXD093vOjl","JwTKLfZU96","abYXlopdE0"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1036","layer":2},{"info":"number node, value=2563","layer":2},{"info":"compute binary expreesion, left_input=1036, right_input=2563, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=1164","layer":2},{"info":"number node, value=5416","layer":2},{"info":"compute binary expreesion, left_input=1164, right_input=5416, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-319, 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":6,"result_base":6,"text":"↹⩛4444↳≱↹⩛15511∖↹⩛5220⨿↹⩛41024=↹⩛0","reverse_text":"↹⩛0=↹⩛4444↳≱↹⩛15511∖↹⩛5220⨿↹⩛41024","cot":[{"info":"↹⩛4444↳≱↹⩛15511=↹⩛0","layer":1},{"info":"↹⩛5220⨿↹⩛41024=↹⩛-1251","layer":1},{"info":"↹⩛0∖↹⩛-1251=↹⩛0","layer":0}]}
{"id":132,"expression_no_base_symbol":"($2155$⊾⪯⋞$2372$)≠≀($1162$⪨⊡$4925$)","expression":"(↹⩛13551⊾⪯⋞↹⩛14552)≠≀(↹⩛5214⪨⊡↹⩛34445)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":76,"operation_count":3,"complexity_ratio":25.333333333333332,"tree":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2155,"base":6},"right_expr":{"type":"numeric_atoms","value":2372,"base":6}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1162,"base":6},"right_expr":{"type":"numeric_atoms","value":4925,"base":6}}},"used_operators":["IwW236VD4Y","HK0tfVPux8","kuIXHzHcAH"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"↹⩛-32315","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2155","layer":2},{"info":"number node, value=2372","layer":2},{"info":"compute binary expreesion, left_input=2155, right_input=2372, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=4318","layer":1},{"info":"number node, value=1162","layer":2},{"info":"number node, value=4925","layer":2},{"info":"compute binary expreesion, left_input=1162, right_input=4925, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=4318, right_input=0, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-4439","layer":0}],"base":6,"result_base":6,"text":"(↹⩛13551⊾⪯⋞↹⩛14552)≠≀(↹⩛5214⪨⊡↹⩛34445)=↹⩛-32315","reverse_text":"↹⩛-32315=(↹⩛13551⊾⪯⋞↹⩛14552)≠≀(↹⩛5214⪨⊡↹⩛34445)","cot":[{"info":"↹⩛13551⊾⪯⋞↹⩛14552=↹⩛31554","layer":1},{"info":"↹⩛5214⪨⊡↹⩛34445=↹⩛0","layer":1},{"info":"↹⩛31554≠≀↹⩛0=↹⩛-32315","layer":0}]}
{"id":133,"expression_no_base_symbol":"↽≂(∷≠$1783$)","expression":"↽≂(∷≠↹⩛12131)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":1783,"base":6}}},"used_operators":["u6S6b8DprG","QiR2Oyf5Xj"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","7j4O788W3g"],"result":"↹⩛-24302","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1783","layer":2},{"info":"compute unary expreesion, input=1783, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1783","layer":1},{"info":"compute unary expreesion, input=1783, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3566","layer":0}],"base":6,"result_base":6,"text":"↽≂(∷≠↹⩛12131)=↹⩛-24302","reverse_text":"↹⩛-24302=↽≂(∷≠↹⩛12131)","cot":[{"info":"∷≠↹⩛12131=↹⩛12131","layer":1},{"info":"↽≂↹⩛12131=↹⩛-24302","layer":0}]}
{"id":134,"expression_no_base_symbol":"∤↝($3042$⪍↜⋙$2611$)","expression":"∤↝(↹⩛22030⪍↜⋙↹⩛20031)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":18,"operation_count":2,"complexity_ratio":9.0,"tree":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3042,"base":6},"right_expr":{"type":"numeric_atoms","value":2611,"base":6}}},"used_operators":["3UMq87Qwqg","L05ObWFQCd"],"dependent_operators":["s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"↹⩛3554","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3042","layer":2},{"info":"number node, value=2611","layer":2},{"info":"compute binary expreesion, left_input=3042, right_input=2611, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=862","layer":1},{"info":"compute unary expreesion, input=862, 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=862","layer":0}],"base":6,"result_base":6,"text":"∤↝(↹⩛22030⪍↜⋙↹⩛20031)=↹⩛3554","reverse_text":"↹⩛3554=∤↝(↹⩛22030⪍↜⋙↹⩛20031)","cot":[{"info":"↹⩛22030⪍↜⋙↹⩛20031=↹⩛3554","layer":1},{"info":"∤↝↹⩛3554=↹⩛3554","layer":0}]}
{"id":135,"expression_no_base_symbol":"($1042$∈)∳⫺(⪛⨧$3335$)","expression":"(↹⩛4454∈)∳⫺(⪛⨧↹⩛23235)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":61,"operation_count":3,"complexity_ratio":20.333333333333332,"tree":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":1042,"base":6}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":3335,"base":6}}},"used_operators":["AzXXKTstlj","ztP7wcbY7m","6NJAcO2OWT"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe"],"result":"↹⩛-44552","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1042","layer":2},{"info":"compute unary expreesion, input=1042, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=2455","layer":1},{"info":"number node, value=3335","layer":2},{"info":"compute unary expreesion, input=3335, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=8071","layer":1},{"info":"compute binary expreesion, left_input=2455, right_input=8071, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-6260","layer":0}],"base":6,"result_base":6,"text":"(↹⩛4454∈)∳⫺(⪛⨧↹⩛23235)=↹⩛-44552","reverse_text":"↹⩛-44552=(↹⩛4454∈)∳⫺(⪛⨧↹⩛23235)","cot":[{"info":"↹⩛4454∈=↹⩛15211","layer":1},{"info":"⪛⨧↹⩛23235=↹⩛101211","layer":1},{"info":"↹⩛15211∳⫺↹⩛101211=↹⩛-44552","layer":0}]}
{"id":136,"expression_no_base_symbol":"(⇋⊎⋝$4547$)∪⫐(≔$1329$)","expression":"(⇋⊎⋝↹⩛33015)∪⫐(≔↹⩛10053)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4587,"operation_count":3,"complexity_ratio":1529.0,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":4547,"base":6}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":1329,"base":6}}},"used_operators":["7YooWSwCyH","CzM2PEoXns","8FLs4eVsLt"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","dWAJyo7jo9","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4547","layer":2},{"info":"compute unary expreesion, input=4547, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":1},{"info":"number node, value=1329","layer":2},{"info":"compute unary expreesion, input=1329, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-35918","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-35918, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⇋⊎⋝↹⩛33015)∪⫐(≔↹⩛10053)=NaN","reverse_text":"NaN=(⇋⊎⋝↹⩛33015)∪⫐(≔↹⩛10053)","cot":[{"info":"⇋⊎⋝↹⩛33015=NaN","layer":1},{"info":"≔↹⩛10053=↹⩛-434142","layer":1},{"info":"NaN∪⫐↹⩛-434142=NaN","layer":0}]}
{"id":137,"expression_no_base_symbol":"$6627$⪍↜⋙$1601$⨽(∨∊⋏$1344$)","expression":"↹⩛50403⪍↜⋙↹⩛11225⨽(∨∊⋏↹⩛10120)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10146,"operation_count":3,"complexity_ratio":3382.0,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":6627,"base":6},"right_expr":{"type":"numeric_atoms","value":1601,"base":6}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":1344,"base":6}}},"used_operators":["8HhzD0ZcuI","L05ObWFQCd","R5aXW34M0v"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ"],"result":"↹⩛-50030141243","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6627","layer":2},{"info":"number node, value=1601","layer":2},{"info":"compute binary expreesion, left_input=6627, right_input=1601, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=10052","layer":1},{"info":"number node, value=1344","layer":2},{"info":"compute unary expreesion, input=1344, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=19055","layer":1},{"info":"compute binary expreesion, left_input=10052, right_input=19055, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-303183963","layer":0}],"base":6,"result_base":6,"text":"↹⩛50403⪍↜⋙↹⩛11225⨽(∨∊⋏↹⩛10120)=↹⩛-50030141243","reverse_text":"↹⩛-50030141243=↹⩛50403⪍↜⋙↹⩛11225⨽(∨∊⋏↹⩛10120)","cot":[{"info":"↹⩛50403⪍↜⋙↹⩛11225=↹⩛114312","layer":1},{"info":"∨∊⋏↹⩛10120=↹⩛224115","layer":1},{"info":"↹⩛114312⨽↹⩛224115=↹⩛-50030141243","layer":0}]}
{"id":138,"expression_no_base_symbol":"(⋣$1723$)∐⫣","expression":"(⋣↹⩛11551)∐⫣","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":181,"operation_count":2,"complexity_ratio":90.5,"tree":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":1723,"base":6}}},"used_operators":["4CyGpkTkEk","zQWRhDnn8F"],"dependent_operators":["XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY"],"result":"↹⩛2315","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1723","layer":2},{"info":"compute unary expreesion, input=1723, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-506467","layer":1},{"info":"compute unary expreesion, input=-506467, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":0}],"base":6,"result_base":6,"text":"(⋣↹⩛11551)∐⫣=↹⩛2315","reverse_text":"↹⩛2315=(⋣↹⩛11551)∐⫣","cot":[{"info":"⋣↹⩛11551=↹⩛-14504431","layer":1},{"info":"↹⩛-14504431∐⫣=↹⩛2315","layer":0}]}
{"id":139,"expression_no_base_symbol":"⪓⩚$2857$⪎↠$2526$","expression":"⪓⩚↹⩛21121⪎↠↹⩛15410","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3376,"operation_count":2,"complexity_ratio":1688.0,"tree":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2857,"base":6},"right_expr":{"type":"numeric_atoms","value":2526,"base":6}}},"used_operators":["u0R0Locfp2","3tVxb0NHM4"],"dependent_operators":["6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"↹⩛1550","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2857","layer":2},{"info":"number node, value=2526","layer":2},{"info":"compute binary expreesion, left_input=2857, right_input=2526, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":0}],"base":6,"result_base":6,"text":"⪓⩚↹⩛21121⪎↠↹⩛15410=↹⩛1550","reverse_text":"↹⩛1550=⪓⩚↹⩛21121⪎↠↹⩛15410","cot":[{"info":"↹⩛21121⪎↠↹⩛15410=↹⩛424","layer":1},{"info":"⪓⩚↹⩛424=↹⩛1550","layer":0}]}
{"id":140,"expression_no_base_symbol":"($3458$⊠≄⫣)⨴∎","expression":"(↹⩛24002⊠≄⫣)⨴∎","highest_n_order":4,"priority_hierarchical_complexity":1,"normalized_expansion_degree":44,"operation_count":2,"complexity_ratio":22.0,"tree":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3458,"base":6}}},"used_operators":["CpSg5vQTgA","DIvbN7qnHd"],"dependent_operators":["Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3458","layer":2},{"info":"compute unary expreesion, input=3458, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"(↹⩛24002⊠≄⫣)⨴∎=↹⩛0","reverse_text":"↹⩛0=(↹⩛24002⊠≄⫣)⨴∎","cot":[{"info":"↹⩛24002⊠≄⫣=↹⩛0","layer":1},{"info":"↹⩛0⨴∎=↹⩛0","layer":0}]}
{"id":141,"expression_no_base_symbol":"⨞⊢(⨂⪏⇭$1003$)","expression":"⨞⊢(⨂⪏⇭↹⩛4351)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":18,"operation_count":2,"complexity_ratio":9.0,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":1003,"base":6}}},"used_operators":["xUOZtlo3hN","AYdpE9sXAk"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","NTOWxs364D","EBcxylXtPf"],"result":"↹⩛-14112","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1003","layer":2},{"info":"compute unary expreesion, input=1003, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=2030","layer":1},{"info":"compute unary expreesion, input=2030, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2204","layer":0}],"base":6,"result_base":6,"text":"⨞⊢(⨂⪏⇭↹⩛4351)=↹⩛-14112","reverse_text":"↹⩛-14112=⨞⊢(⨂⪏⇭↹⩛4351)","cot":[{"info":"⨂⪏⇭↹⩛4351=↹⩛13222","layer":1},{"info":"⨞⊢↹⩛13222=↹⩛-14112","layer":0}]}
{"id":142,"expression_no_base_symbol":"$1173$≬⇓$4139$≬⋮($2592$⪘⨀)","expression":"↹⩛5233≬⇓↹⩛31055≬⋮(↹⩛20000⪘⨀)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":40,"operation_count":3,"complexity_ratio":13.333333333333334,"tree":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1173,"base":6},"right_expr":{"type":"numeric_atoms","value":4139,"base":6}},"right_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":2592,"base":6}}},"used_operators":["kbkesczE7y","jWTQ2TZYIH","aA7tF3KVD3"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA"],"result":"↹⩛4004","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1173","layer":2},{"info":"number node, value=4139","layer":2},{"info":"compute binary expreesion, left_input=1173, right_input=4139, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":1},{"info":"number node, value=2592","layer":2},{"info":"compute unary expreesion, input=2592, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-5765","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=-5765, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":0}],"base":6,"result_base":6,"text":"↹⩛5233≬⇓↹⩛31055≬⋮(↹⩛20000⪘⨀)=↹⩛4004","reverse_text":"↹⩛4004=↹⩛5233≬⇓↹⩛31055≬⋮(↹⩛20000⪘⨀)","cot":[{"info":"↹⩛5233≬⇓↹⩛31055=↹⩛-34","layer":1},{"info":"↹⩛20000⪘⨀=↹⩛-42405","layer":1},{"info":"↹⩛-34≬⋮↹⩛-42405=↹⩛4004","layer":0}]}
{"id":143,"expression_no_base_symbol":"⇜$1481$⪒⊣⊆$2713$","expression":"⇜↹⩛10505⪒⊣⊆↹⩛20321","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":321,"operation_count":2,"complexity_ratio":160.5,"tree":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1481,"base":6},"right_expr":{"type":"numeric_atoms","value":2713,"base":6}}},"used_operators":["lFBm8KRb8F","eRqsBgTDFp"],"dependent_operators":["s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","sdazOOVcIp","W4YGzv6Whe"],"result":"↹⩛-303332","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1481","layer":2},{"info":"number node, value=2713","layer":2},{"info":"compute binary expreesion, left_input=1481, right_input=2713, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2962","layer":1},{"info":"compute unary expreesion, input=2962, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-24104","layer":0}],"base":6,"result_base":6,"text":"⇜↹⩛10505⪒⊣⊆↹⩛20321=↹⩛-303332","reverse_text":"↹⩛-303332=⇜↹⩛10505⪒⊣⊆↹⩛20321","cot":[{"info":"↹⩛10505⪒⊣⊆↹⩛20321=↹⩛21414","layer":1},{"info":"⇜↹⩛21414=↹⩛-303332","layer":0}]}
{"id":144,"expression_no_base_symbol":"($4679$⨒$4427$)⋘⨑⨽","expression":"(↹⩛33355⨒↹⩛32255)⋘⨑⨽","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":34,"operation_count":2,"complexity_ratio":17.0,"tree":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":4679,"base":6},"right_expr":{"type":"numeric_atoms","value":4427,"base":6}}},"used_operators":["WmT3o8z6ya","y75s1iXyHd"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"↹⩛-2541343","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4679","layer":2},{"info":"number node, value=4427","layer":2},{"info":"compute binary expreesion, left_input=4679, right_input=4427, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-27702","layer":1},{"info":"compute unary expreesion, input=-27702, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=-137727","layer":0}],"base":6,"result_base":6,"text":"(↹⩛33355⨒↹⩛32255)⋘⨑⨽=↹⩛-2541343","reverse_text":"↹⩛-2541343=(↹⩛33355⨒↹⩛32255)⋘⨑⨽","cot":[{"info":"↹⩛33355⨒↹⩛32255=↹⩛-332130","layer":1},{"info":"↹⩛-332130⋘⨑⨽=↹⩛-2541343","layer":0}]}
{"id":145,"expression_no_base_symbol":"$2324$⪝$4279$↺$3185$⇴$1767$","expression":"↹⩛14432⪝↹⩛31451↺↹⩛22425⇴↹⩛12103","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":432,"operation_count":3,"complexity_ratio":144.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2324,"base":6},"right_expr":{"type":"numeric_atoms","value":4279,"base":6}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":3185,"base":6},"right_expr":{"type":"numeric_atoms","value":1767,"base":6}}},"used_operators":["7j4O788W3g","wicAB68Tmb","4JB6nKBMSY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"↹⩛251014","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2324","layer":2},{"info":"number node, value=4279","layer":2},{"info":"compute binary expreesion, left_input=2324, right_input=4279, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":1},{"info":"number node, value=3185","layer":2},{"info":"number node, value=1767","layer":2},{"info":"compute binary expreesion, left_input=3185, right_input=1767, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=22258","layer":1},{"info":"compute binary expreesion, left_input=237, right_input=22258, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=22258","layer":0}],"base":6,"result_base":6,"text":"↹⩛14432⪝↹⩛31451↺↹⩛22425⇴↹⩛12103=↹⩛251014","reverse_text":"↹⩛251014=↹⩛14432⪝↹⩛31451↺↹⩛22425⇴↹⩛12103","cot":[{"info":"↹⩛14432⪝↹⩛31451=↹⩛1033","layer":1},{"info":"↹⩛22425⇴↹⩛12103=↹⩛251014","layer":1},{"info":"↹⩛1033↺↹⩛251014=↹⩛251014","layer":0}]}
{"id":146,"expression_no_base_symbol":"($4806$≀⩗∶$1367$)⊬⨰(≸≮$4307$)","expression":"(↹⩛34130≀⩗∶↹⩛10155)⊬⨰(≸≮↹⩛31535)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9938,"operation_count":3,"complexity_ratio":3312.6666666666665,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":4806,"base":6},"right_expr":{"type":"numeric_atoms","value":1367,"base":6}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":4307,"base":6}}},"used_operators":["s3Fd5m9Dh2","8INZBEW696","AljMvE3RRm"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4806","layer":2},{"info":"number node, value=1367","layer":2},{"info":"compute binary expreesion, left_input=4806, right_input=1367, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":1},{"info":"number node, value=4307","layer":2},{"info":"compute unary expreesion, input=4307, 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 binary expreesion, left_input=0, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛34130≀⩗∶↹⩛10155)⊬⨰(≸≮↹⩛31535)=NaN","reverse_text":"NaN=(↹⩛34130≀⩗∶↹⩛10155)⊬⨰(≸≮↹⩛31535)","cot":[{"info":"↹⩛34130≀⩗∶↹⩛10155=↹⩛0","layer":1},{"info":"≸≮↹⩛31535=NaN","layer":1},{"info":"↹⩛0⊬⨰NaN=NaN","layer":0}]}
{"id":147,"expression_no_base_symbol":"$1972$⪝$1192$∼$2765$⩌⋺$8075$","expression":"↹⩛13044⪝↹⩛5304∼↹⩛20445⩌⋺↹⩛101215","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":499,"operation_count":3,"complexity_ratio":166.33333333333334,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1972,"base":6},"right_expr":{"type":"numeric_atoms","value":1192,"base":6}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":2765,"base":6},"right_expr":{"type":"numeric_atoms","value":8075,"base":6}}},"used_operators":["DyGG3AbaNP","wicAB68Tmb","g7Hmc5v1ko"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1972","layer":2},{"info":"number node, value=1192","layer":2},{"info":"compute binary expreesion, left_input=1972, right_input=1192, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-3519","layer":1},{"info":"number node, value=2765","layer":2},{"info":"number node, value=8075","layer":2},{"info":"compute binary expreesion, left_input=2765, right_input=8075, 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=-10961","layer":1},{"info":"compute binary expreesion, left_input=-3519, right_input=-10961, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛13044⪝↹⩛5304∼↹⩛20445⩌⋺↹⩛101215=NaN","reverse_text":"NaN=↹⩛13044⪝↹⩛5304∼↹⩛20445⩌⋺↹⩛101215","cot":[{"info":"↹⩛13044⪝↹⩛5304=↹⩛-24143","layer":1},{"info":"↹⩛20445⩌⋺↹⩛101215=↹⩛-122425","layer":1},{"info":"↹⩛-24143∼↹⩛-122425=NaN","layer":0}]}
{"id":148,"expression_no_base_symbol":"($4334$⊝⪿⪼$2539$)↳≱$8250$⪝$1122$","expression":"(↹⩛32022⊝⪿⪼↹⩛15431)↳≱↹⩛102110⪝↹⩛5110","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":510,"operation_count":3,"complexity_ratio":170.0,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":4334,"base":6},"right_expr":{"type":"numeric_atoms","value":2539,"base":6}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":8250,"base":6},"right_expr":{"type":"numeric_atoms","value":1122,"base":6}}},"used_operators":["JwTKLfZU96","3Oe9XWJUTD","wicAB68Tmb"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4334","layer":2},{"info":"number node, value=2539","layer":2},{"info":"compute binary expreesion, left_input=4334, right_input=2539, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=61108","layer":1},{"info":"number node, value=8250","layer":2},{"info":"number node, value=1122","layer":2},{"info":"compute binary expreesion, left_input=8250, right_input=1122, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-28911","layer":1},{"info":"compute binary expreesion, left_input=61108, right_input=-28911, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":6,"result_base":6,"text":"(↹⩛32022⊝⪿⪼↹⩛15431)↳≱↹⩛102110⪝↹⩛5110=↹⩛0","reverse_text":"↹⩛0=(↹⩛32022⊝⪿⪼↹⩛15431)↳≱↹⩛102110⪝↹⩛5110","cot":[{"info":"↹⩛32022⊝⪿⪼↹⩛15431=↹⩛1150524","layer":1},{"info":"↹⩛102110⪝↹⩛5110=↹⩛-341503","layer":1},{"info":"↹⩛1150524↳≱↹⩛-341503=↹⩛0","layer":0}]}
{"id":149,"expression_no_base_symbol":"(⊥$6450$)⇄(⋂$1253$)","expression":"(⊥↹⩛45510)⇄(⋂↹⩛5445)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":22,"operation_count":3,"complexity_ratio":7.333333333333333,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":6450,"base":6}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":1253,"base":6}}},"used_operators":["3EYGwJThht","Q3PJZHRvZv","BUOGQAYlQx"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","fu6greOZ01","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6450","layer":2},{"info":"compute unary expreesion, input=6450, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=1253","layer":2},{"info":"compute unary expreesion, input=1253, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-16946","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-16946, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⊥↹⩛45510)⇄(⋂↹⩛5445)=NaN","reverse_text":"NaN=(⊥↹⩛45510)⇄(⋂↹⩛5445)","cot":[{"info":"⊥↹⩛45510=NaN","layer":1},{"info":"⋂↹⩛5445=↹⩛-210242","layer":1},{"info":"NaN⇄↹⩛-210242=NaN","layer":0}]}
{"id":150,"expression_no_base_symbol":"($1096$⨽$3191$)⫸⇳$2257$+⇶⊼$3237$","expression":"(↹⩛5024⨽↹⩛22435)⫸⇳↹⩛14241+⇶⊼↹⩛22553","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1116,"operation_count":3,"complexity_ratio":372.0,"tree":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1096,"base":6},"right_expr":{"type":"numeric_atoms","value":3191,"base":6}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2257,"base":6},"right_expr":{"type":"numeric_atoms","value":3237,"base":6}}},"used_operators":["gx7XJ7hdpj","8HhzD0ZcuI","TpPTUOHfaN"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1096","layer":2},{"info":"number node, value=3191","layer":2},{"info":"compute binary expreesion, left_input=1096, right_input=3191, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3611907","layer":1},{"info":"number node, value=2257","layer":2},{"info":"number node, value=3237","layer":2},{"info":"compute binary expreesion, left_input=2257, right_input=3237, 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=-3611907, right_input=nan, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5024⨽↹⩛22435)⫸⇳↹⩛14241+⇶⊼↹⩛22553=↹⩛0","reverse_text":"↹⩛0=(↹⩛5024⨽↹⩛22435)⫸⇳↹⩛14241+⇶⊼↹⩛22553","cot":[{"info":"↹⩛5024⨽↹⩛22435=↹⩛-205225443","layer":1},{"info":"↹⩛14241+⇶⊼↹⩛22553=NaN","layer":1},{"info":"↹⩛-205225443⫸⇳NaN=↹⩛0","layer":0}]}
{"id":151,"expression_no_base_symbol":"(⊢≑≆$9306$)⋭≵$4385$⋥⋵⩄$1301$","expression":"(⊢≑≆↹⩛111030)⋭≵↹⩛32145⋥⋵⩄↹⩛10005","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":93,"operation_count":3,"complexity_ratio":31.0,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":9306,"base":6}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":4385,"base":6},"right_expr":{"type":"numeric_atoms","value":1301,"base":6}}},"used_operators":["jBncVCNhdl","27wFxooxGf","7t3wd0Fuz7"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=9306","layer":2},{"info":"compute unary expreesion, input=9306, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=37676","layer":1},{"info":"number node, value=4385","layer":2},{"info":"number node, value=1301","layer":2},{"info":"compute binary expreesion, left_input=4385, right_input=1301, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=37676, right_input=113, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":0}],"base":6,"result_base":6,"text":"(⊢≑≆↹⩛111030)⋭≵↹⩛32145⋥⋵⩄↹⩛10005=↹⩛151","reverse_text":"↹⩛151=(⊢≑≆↹⩛111030)⋭≵↹⩛32145⋥⋵⩄↹⩛10005","cot":[{"info":"⊢≑≆↹⩛111030=↹⩛450232","layer":1},{"info":"↹⩛32145⋥⋵⩄↹⩛10005=↹⩛305","layer":1},{"info":"↹⩛450232⋭≵↹⩛305=↹⩛151","layer":0}]}
{"id":152,"expression_no_base_symbol":"(≱⇩⩕$1096$)⨸⪁($8808$⋘⨑⨽)","expression":"(≱⇩⩕↹⩛5024)⨸⪁(↹⩛104440⋘⨑⨽)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":43,"operation_count":3,"complexity_ratio":14.333333333333334,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":1096,"base":6}},"right_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":8808,"base":6}}},"used_operators":["g55IO6H4Gj","3DZMoQKiUl","WmT3o8z6ya"],"dependent_operators":["W4YGzv6Whe","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q"],"result":"↹⩛1532024","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1096","layer":2},{"info":"compute unary expreesion, input=1096, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":1},{"info":"number node, value=8808","layer":2},{"info":"compute unary expreesion, input=8808, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=44823","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=44823, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=89872","layer":0}],"base":6,"result_base":6,"text":"(≱⇩⩕↹⩛5024)⨸⪁(↹⩛104440⋘⨑⨽)=↹⩛1532024","reverse_text":"↹⩛1532024=(≱⇩⩕↹⩛5024)⨸⪁(↹⩛104440⋘⨑⨽)","cot":[{"info":"≱⇩⩕↹⩛5024=↹⩛305","layer":1},{"info":"↹⩛104440⋘⨑⨽=↹⩛543303","layer":1},{"info":"↹⩛305⨸⪁↹⩛543303=↹⩛1532024","layer":0}]}
{"id":153,"expression_no_base_symbol":"⫓⪴($1476$⇣⩺⋵$1433$)","expression":"⫓⪴(↹⩛10500⇣⩺⋵↹⩛10345)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":317,"operation_count":2,"complexity_ratio":158.5,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1476,"base":6},"right_expr":{"type":"numeric_atoms","value":1433,"base":6}}},"used_operators":["eLxqMNBOBk","F4yD0voBRQ"],"dependent_operators":["9HNa5Wba9A","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"↹⩛1240544","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1476","layer":2},{"info":"number node, value=1433","layer":2},{"info":"compute binary expreesion, left_input=1476, right_input=1433, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"compute unary expreesion, input=-260, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=67600","layer":0}],"base":6,"result_base":6,"text":"⫓⪴(↹⩛10500⇣⩺⋵↹⩛10345)=↹⩛1240544","reverse_text":"↹⩛1240544=⫓⪴(↹⩛10500⇣⩺⋵↹⩛10345)","cot":[{"info":"↹⩛10500⇣⩺⋵↹⩛10345=↹⩛-1112","layer":1},{"info":"⫓⪴↹⩛-1112=↹⩛1240544","layer":0}]}
{"id":154,"expression_no_base_symbol":"$1254$→⨶⪴$2199$⊹∫⫚(↴⪽⋼$1683$)","expression":"↹⩛5450→⨶⪴↹⩛14103⊹∫⫚(↴⪽⋼↹⩛11443)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29,"operation_count":3,"complexity_ratio":9.666666666666666,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1254,"base":6},"right_expr":{"type":"numeric_atoms","value":2199,"base":6}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":1683,"base":6}}},"used_operators":["uWAJUKEvyW","bF6eod5Gvf","5TUYCnJO6w"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","8w2t5hMYqp","9FxExcQeMw","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1254","layer":2},{"info":"number node, value=2199","layer":2},{"info":"compute binary expreesion, left_input=1254, right_input=2199, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-6597","layer":1},{"info":"number node, value=1683","layer":2},{"info":"compute unary expreesion, input=1683, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=1683","layer":1},{"info":"compute binary expreesion, left_input=-6597, right_input=1683, 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":0}],"base":6,"result_base":6,"text":"↹⩛5450→⨶⪴↹⩛14103⊹∫⫚(↴⪽⋼↹⩛11443)=↹⩛0","reverse_text":"↹⩛0=↹⩛5450→⨶⪴↹⩛14103⊹∫⫚(↴⪽⋼↹⩛11443)","cot":[{"info":"↹⩛5450→⨶⪴↹⩛14103=↹⩛-50313","layer":1},{"info":"↴⪽⋼↹⩛11443=↹⩛11443","layer":1},{"info":"↹⩛-50313⊹∫⫚↹⩛11443=↹⩛0","layer":0}]}
{"id":155,"expression_no_base_symbol":"$2926$∀⇚≩$6644$⫲≸⪮$3938$∳⫺$1843$","expression":"↹⩛21314∀⇚≩↹⩛50432⫲≸⪮↹⩛30122∳⫺↹⩛12311","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":20540,"operation_count":3,"complexity_ratio":6846.666666666667,"tree":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2926,"base":6},"right_expr":{"type":"numeric_atoms","value":6644,"base":6}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":3938,"base":6},"right_expr":{"type":"numeric_atoms","value":1843,"base":6}}},"used_operators":["P3lXMJvFrc","LRNGc0VcxI","AzXXKTstlj"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","X99M06cbEe","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2926","layer":2},{"info":"number node, value=6644","layer":2},{"info":"compute binary expreesion, left_input=2926, right_input=6644, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3938","layer":2},{"info":"number node, value=1843","layer":2},{"info":"compute binary expreesion, left_input=3938, right_input=1843, 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 = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛21314∀⇚≩↹⩛50432⫲≸⪮↹⩛30122∳⫺↹⩛12311=NaN","reverse_text":"NaN=↹⩛21314∀⇚≩↹⩛50432⫲≸⪮↹⩛30122∳⫺↹⩛12311","cot":[{"info":"↹⩛21314∀⇚≩↹⩛50432=NaN","layer":1},{"info":"↹⩛30122∳⫺↹⩛12311=↹⩛-1112","layer":1},{"info":"NaN⫲≸⪮↹⩛-1112=NaN","layer":0}]}
{"id":156,"expression_no_base_symbol":"⋗⩬⋾$3513$∣$1477$","expression":"⋗⩬⋾↹⩛24133∣↹⩛10501","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":3513,"base":6},"right_expr":{"type":"numeric_atoms","value":1477,"base":6}}},"used_operators":["DpFCA1CohY","PPChnnnBFF"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"↹⩛-120443","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3513","layer":2},{"info":"number node, value=1477","layer":2},{"info":"compute binary expreesion, left_input=3513, right_input=1477, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=3513","layer":1},{"info":"compute unary expreesion, input=3513, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-10539","layer":0}],"base":6,"result_base":6,"text":"⋗⩬⋾↹⩛24133∣↹⩛10501=↹⩛-120443","reverse_text":"↹⩛-120443=⋗⩬⋾↹⩛24133∣↹⩛10501","cot":[{"info":"↹⩛24133∣↹⩛10501=↹⩛24133","layer":1},{"info":"⋗⩬⋾↹⩛24133=↹⩛-120443","layer":0}]}
{"id":157,"expression_no_base_symbol":"($7031$*$5396$)→⨶⪴$2539$⨸$3458$","expression":"(↹⩛52315*↹⩛40552)→⨶⪴↹⩛15431⨸↹⩛24002","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8049,"operation_count":3,"complexity_ratio":2683.0,"tree":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":7031,"base":6},"right_expr":{"type":"numeric_atoms","value":5396,"base":6}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2539,"base":6},"right_expr":{"type":"numeric_atoms","value":3458,"base":6}}},"used_operators":["bF6eod5Gvf","9HNa5Wba9A","KmoU8R5UQR"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","W4YGzv6Whe","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"↹⩛-154310","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7031","layer":2},{"info":"number node, value=5396","layer":2},{"info":"compute binary expreesion, left_input=7031, right_input=5396, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=37939276","layer":1},{"info":"number node, value=2539","layer":2},{"info":"number node, value=3458","layer":2},{"info":"compute binary expreesion, left_input=2539, right_input=3458, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=5078","layer":1},{"info":"compute binary expreesion, left_input=37939276, right_input=5078, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-15234","layer":0}],"base":6,"result_base":6,"text":"(↹⩛52315*↹⩛40552)→⨶⪴↹⩛15431⨸↹⩛24002=↹⩛-154310","reverse_text":"↹⩛-154310=(↹⩛52315*↹⩛40552)→⨶⪴↹⩛15431⨸↹⩛24002","cot":[{"info":"↹⩛52315*↹⩛40552=↹⩛3433100444","layer":1},{"info":"↹⩛15431⨸↹⩛24002=↹⩛35302","layer":1},{"info":"↹⩛3433100444→⨶⪴↹⩛35302=↹⩛-154310","layer":0}]}
{"id":158,"expression_no_base_symbol":"($7142$/$1356$)⨚($1353$⩹$1078$)","expression":"(↹⩛53022/↹⩛10140)⨚(↹⩛10133⩹↹⩛4554)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34,"operation_count":3,"complexity_ratio":11.333333333333334,"tree":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":7142,"base":6},"right_expr":{"type":"numeric_atoms","value":1356,"base":6}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1353,"base":6},"right_expr":{"type":"numeric_atoms","value":1078,"base":6}}},"used_operators":["nREPSIbpBE","XhwjNDsVaA","2Wsdkap16l"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","rysDP5nf3Z","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"↹⩛-23320","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7142","layer":2},{"info":"number node, value=1356","layer":2},{"info":"compute binary expreesion, left_input=7142, right_input=1356, op_id = XhwjNDsVaA binary_op_definition= 'None', output=5","layer":1},{"info":"number node, value=1353","layer":2},{"info":"number node, value=1078","layer":2},{"info":"compute binary expreesion, left_input=1353, right_input=1078, 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=1076","layer":1},{"info":"compute binary expreesion, left_input=5, right_input=1076, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-3360","layer":0}],"base":6,"result_base":6,"text":"(↹⩛53022/↹⩛10140)⨚(↹⩛10133⩹↹⩛4554)=↹⩛-23320","reverse_text":"↹⩛-23320=(↹⩛53022/↹⩛10140)⨚(↹⩛10133⩹↹⩛4554)","cot":[{"info":"↹⩛53022/↹⩛10140=↹⩛5","layer":1},{"info":"↹⩛10133⩹↹⩛4554=↹⩛4552","layer":1},{"info":"↹⩛5⨚↹⩛4552=↹⩛-23320","layer":0}]}
{"id":159,"expression_no_base_symbol":"$1820$⪕$3839$⪒$3066$⫘$1812$","expression":"↹⩛12232⪕↹⩛25435⪒↹⩛22110⫘↹⩛12220","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3297,"operation_count":3,"complexity_ratio":1099.0,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1820,"base":6},"right_expr":{"type":"numeric_atoms","value":3839,"base":6}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":3066,"base":6},"right_expr":{"type":"numeric_atoms","value":1812,"base":6}}},"used_operators":["f6k1SAg4EE","umQnsF7QlU","48vC8HMD2b"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"↹⩛-205220151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1820","layer":2},{"info":"number node, value=3839","layer":2},{"info":"compute binary expreesion, left_input=1820, right_input=3839, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=702","layer":1},{"info":"number node, value=3066","layer":2},{"info":"number node, value=1812","layer":2},{"info":"compute binary expreesion, left_input=3066, right_input=1812, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=3610021","layer":1},{"info":"compute binary expreesion, left_input=702, right_input=3610021, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3610723","layer":0}],"base":6,"result_base":6,"text":"↹⩛12232⪕↹⩛25435⪒↹⩛22110⫘↹⩛12220=↹⩛-205220151","reverse_text":"↹⩛-205220151=↹⩛12232⪕↹⩛25435⪒↹⩛22110⫘↹⩛12220","cot":[{"info":"↹⩛12232⪕↹⩛25435=↹⩛3130","layer":1},{"info":"↹⩛22110⫘↹⩛12220=↹⩛205213021","layer":1},{"info":"↹⩛3130⪒↹⩛205213021=↹⩛-205220151","layer":0}]}
{"id":160,"expression_no_base_symbol":"≑⋹($1422$⪘⫢$1476$)","expression":"≑⋹(↹⩛10330⪘⫢↹⩛10500)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":121,"operation_count":2,"complexity_ratio":60.5,"tree":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1422,"base":6},"right_expr":{"type":"numeric_atoms","value":1476,"base":6}}},"used_operators":["6B9nyZLogK","oacrs7FA3X"],"dependent_operators":["aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"↹⩛11350","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1422","layer":2},{"info":"number node, value=1476","layer":2},{"info":"compute binary expreesion, left_input=1422, right_input=1476, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2720","layer":1},{"info":"compute unary expreesion, input=2720, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":0}],"base":6,"result_base":6,"text":"≑⋹(↹⩛10330⪘⫢↹⩛10500)=↹⩛11350","reverse_text":"↹⩛11350=≑⋹(↹⩛10330⪘⫢↹⩛10500)","cot":[{"info":"↹⩛10330⪘⫢↹⩛10500=↹⩛20332","layer":1},{"info":"≑⋹↹⩛20332=↹⩛11350","layer":0}]}
{"id":161,"expression_no_base_symbol":"(⇈$2361$)≃$2900$⇤$1300$","expression":"(⇈↹⩛14533)≃↹⩛21232⇤↹⩛10004","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1053,"operation_count":3,"complexity_ratio":351.0,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":2361,"base":6}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2900,"base":6},"right_expr":{"type":"numeric_atoms","value":1300,"base":6}}},"used_operators":["YbVcJGFEVW","SLLxy00UIr","YSKBFp38Pu"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"↹⩛1315544","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2361","layer":2},{"info":"compute unary expreesion, input=2361, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":1},{"info":"number node, value=2900","layer":2},{"info":"number node, value=1300","layer":2},{"info":"compute binary expreesion, left_input=2900, right_input=1300, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-18152","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=-18152, 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=72568","layer":0}],"base":6,"result_base":6,"text":"(⇈↹⩛14533)≃↹⩛21232⇤↹⩛10004=↹⩛1315544","reverse_text":"↹⩛1315544=(⇈↹⩛14533)≃↹⩛21232⇤↹⩛10004","cot":[{"info":"⇈↹⩛14533=↹⩛-2023","layer":1},{"info":"↹⩛21232⇤↹⩛10004=↹⩛-220012","layer":1},{"info":"↹⩛-2023≃↹⩛-220012=↹⩛1315544","layer":0}]}
{"id":162,"expression_no_base_symbol":"($6317$⋖∅⋲)⊬⨰($2794$∷$4272$)","expression":"(↹⩛45125⋖∅⋲)⊬⨰(↹⩛20534∷↹⩛31440)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":178,"operation_count":3,"complexity_ratio":59.333333333333336,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":6317,"base":6}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2794,"base":6},"right_expr":{"type":"numeric_atoms","value":4272,"base":6}}},"used_operators":["s3Fd5m9Dh2","L95AwlJzhO","D3AQDKkPcf"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"↹⩛-24034330","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6317","layer":2},{"info":"compute unary expreesion, input=6317, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":1},{"info":"number node, value=2794","layer":2},{"info":"number node, value=4272","layer":2},{"info":"compute binary expreesion, left_input=2794, right_input=4272, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=4272","layer":1},{"info":"compute binary expreesion, left_input=-384231, right_input=4272, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-751374","layer":0}],"base":6,"result_base":6,"text":"(↹⩛45125⋖∅⋲)⊬⨰(↹⩛20534∷↹⩛31440)=↹⩛-24034330","reverse_text":"↹⩛-24034330=(↹⩛45125⋖∅⋲)⊬⨰(↹⩛20534∷↹⩛31440)","cot":[{"info":"↹⩛45125⋖∅⋲=↹⩛-12122503","layer":1},{"info":"↹⩛20534∷↹⩛31440=↹⩛31440","layer":1},{"info":"↹⩛-12122503⊬⨰↹⩛31440=↹⩛-24034330","layer":0}]}
{"id":163,"expression_no_base_symbol":"(⊤⊝$6857$)≒∊(∥⊫$1390$)","expression":"(⊤⊝↹⩛51425)≒∊(∥⊫↹⩛10234)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16,"operation_count":3,"complexity_ratio":5.333333333333333,"tree":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":6857,"base":6}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1390,"base":6}}},"used_operators":["5KTvxBwnZo","rXAclfmB4M","P8v4zCKN1o"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","sdazOOVcIp","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛-131124","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6857","layer":2},{"info":"compute unary expreesion, input=6857, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=12416","layer":1},{"info":"number node, value=1390","layer":2},{"info":"compute unary expreesion, input=1390, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2258","layer":1},{"info":"compute binary expreesion, left_input=12416, right_input=2258, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-11932","layer":0}],"base":6,"result_base":6,"text":"(⊤⊝↹⩛51425)≒∊(∥⊫↹⩛10234)=↹⩛-131124","reverse_text":"↹⩛-131124=(⊤⊝↹⩛51425)≒∊(∥⊫↹⩛10234)","cot":[{"info":"⊤⊝↹⩛51425=↹⩛133252","layer":1},{"info":"∥⊫↹⩛10234=↹⩛14242","layer":1},{"info":"↹⩛133252≒∊↹⩛14242=↹⩛-131124","layer":0}]}
{"id":164,"expression_no_base_symbol":"($1161$⇄$8408$)⩼⇪↪($1885$⊲⩕⊾$3208$)","expression":"(↹⩛5213⇄↹⩛102532)⩼⇪↪(↹⩛12421⊲⩕⊾↹⩛22504)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":42,"operation_count":3,"complexity_ratio":14.0,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1161,"base":6},"right_expr":{"type":"numeric_atoms","value":8408,"base":6}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1885,"base":6},"right_expr":{"type":"numeric_atoms","value":3208,"base":6}}},"used_operators":["ocnLzx9CaJ","3EYGwJThht","DmTXOeWf9t"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"↹⩛12452111","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1161","layer":2},{"info":"number node, value=8408","layer":2},{"info":"compute binary expreesion, left_input=1161, right_input=8408, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"number node, value=1885","layer":2},{"info":"number node, value=3208","layer":2},{"info":"compute binary expreesion, left_input=1885, right_input=3208, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-58870","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-58870, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=411307","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5213⇄↹⩛102532)⩼⇪↪(↹⩛12421⊲⩕⊾↹⩛22504)=↹⩛12452111","reverse_text":"↹⩛12452111=(↹⩛5213⇄↹⩛102532)⩼⇪↪(↹⩛12421⊲⩕⊾↹⩛22504)","cot":[{"info":"↹⩛5213⇄↹⩛102532=↹⩛0","layer":1},{"info":"↹⩛12421⊲⩕⊾↹⩛22504=↹⩛-1132314","layer":1},{"info":"↹⩛0⩼⇪↪↹⩛-1132314=↹⩛12452111","layer":0}]}
{"id":165,"expression_no_base_symbol":"$1095$∺≝⩲$2139$⊉↱≁($3655$≒∊$2602$)","expression":"↹⩛5023∺≝⩲↹⩛13523⊉↱≁(↹⩛24531≒∊↹⩛20014)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":41,"operation_count":3,"complexity_ratio":13.666666666666666,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1095,"base":6},"right_expr":{"type":"numeric_atoms","value":2139,"base":6}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":3655,"base":6},"right_expr":{"type":"numeric_atoms","value":2602,"base":6}}},"used_operators":["w2P8NbNXyL","KPf6cnQVty","5KTvxBwnZo"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"↹⩛235130","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1095","layer":2},{"info":"number node, value=2139","layer":2},{"info":"compute binary expreesion, left_input=1095, right_input=2139, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"number node, value=3655","layer":2},{"info":"number node, value=2602","layer":2},{"info":"compute binary expreesion, left_input=3655, right_input=2602, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-3171","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-3171, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=20574","layer":0}],"base":6,"result_base":6,"text":"↹⩛5023∺≝⩲↹⩛13523⊉↱≁(↹⩛24531≒∊↹⩛20014)=↹⩛235130","reverse_text":"↹⩛235130=↹⩛5023∺≝⩲↹⩛13523⊉↱≁(↹⩛24531≒∊↹⩛20014)","cot":[{"info":"↹⩛5023∺≝⩲↹⩛13523=↹⩛424","layer":1},{"info":"↹⩛24531≒∊↹⩛20014=↹⩛-22403","layer":1},{"info":"↹⩛424⊉↱≁↹⩛-22403=↹⩛235130","layer":0}]}
{"id":166,"expression_no_base_symbol":"$3636$⊱⇼⊻$4009$⋅⇍($1724$⨘)","expression":"↹⩛24500⊱⇼⊻↹⩛30321⋅⇍(↹⩛11552⨘)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1748,"operation_count":3,"complexity_ratio":582.6666666666666,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3636,"base":6},"right_expr":{"type":"numeric_atoms","value":4009,"base":6}},"right_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"numeric_atoms","value":1724,"base":6}}},"used_operators":["AdZkA7nFnk","FyVja0WsTP","ljcfZBUpm8"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ"],"result":"↹⩛-4355","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3636","layer":2},{"info":"number node, value=4009","layer":2},{"info":"compute binary expreesion, left_input=3636, right_input=4009, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":1},{"info":"number node, value=1724","layer":2},{"info":"compute unary expreesion, input=1724, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-12843","layer":1},{"info":"compute binary expreesion, left_input=434, right_input=-12843, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-1007","layer":0}],"base":6,"result_base":6,"text":"↹⩛24500⊱⇼⊻↹⩛30321⋅⇍(↹⩛11552⨘)=↹⩛-4355","reverse_text":"↹⩛-4355=↹⩛24500⊱⇼⊻↹⩛30321⋅⇍(↹⩛11552⨘)","cot":[{"info":"↹⩛24500⊱⇼⊻↹⩛30321=↹⩛2002","layer":1},{"info":"↹⩛11552⨘=↹⩛-135243","layer":1},{"info":"↹⩛2002⋅⇍↹⩛-135243=↹⩛-4355","layer":0}]}
{"id":167,"expression_no_base_symbol":"(⊀$2564$)⨵⪆$1870$⇴∐$6004$","expression":"(⊀↹⩛15512)⨵⪆↹⩛12354⇴∐↹⩛43444","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":44,"operation_count":3,"complexity_ratio":14.666666666666666,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":2564,"base":6}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1870,"base":6},"right_expr":{"type":"numeric_atoms","value":6004,"base":6}}},"used_operators":["2DQ55sFlQl","oPMjh9089D","HnzytWxmAO"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2564","layer":2},{"info":"compute unary expreesion, input=2564, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=9994","layer":1},{"info":"number node, value=1870","layer":2},{"info":"number node, value=6004","layer":2},{"info":"compute binary expreesion, left_input=1870, right_input=6004, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=9994, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":6,"result_base":6,"text":"(⊀↹⩛15512)⨵⪆↹⩛12354⇴∐↹⩛43444=↹⩛424","reverse_text":"↹⩛424=(⊀↹⩛15512)⨵⪆↹⩛12354⇴∐↹⩛43444","cot":[{"info":"⊀↹⩛15512=↹⩛114134","layer":1},{"info":"↹⩛12354⇴∐↹⩛43444=NaN","layer":1},{"info":"↹⩛114134⨵⪆NaN=↹⩛424","layer":0}]}
{"id":168,"expression_no_base_symbol":"$1269$⊕∕$5881$⩁⩘($5234$⊴$1003$)","expression":"↹⩛5513⊕∕↹⩛43121⩁⩘(↹⩛40122⊴↹⩛4351)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5025,"operation_count":3,"complexity_ratio":1675.0,"tree":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1269,"base":6},"right_expr":{"type":"numeric_atoms","value":5881,"base":6}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5234,"base":6},"right_expr":{"type":"numeric_atoms","value":1003,"base":6}}},"used_operators":["gub5Cegaqo","9cloC0Ngie","Nsiff2A1zJ"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1269","layer":2},{"info":"number node, value=5881","layer":2},{"info":"compute binary expreesion, left_input=1269, right_input=5881, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1269","layer":1},{"info":"number node, value=5234","layer":2},{"info":"number node, value=1003","layer":2},{"info":"compute binary expreesion, left_input=5234, right_input=1003, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1269, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛5513⊕∕↹⩛43121⩁⩘(↹⩛40122⊴↹⩛4351)=NaN","reverse_text":"NaN=↹⩛5513⊕∕↹⩛43121⩁⩘(↹⩛40122⊴↹⩛4351)","cot":[{"info":"↹⩛5513⊕∕↹⩛43121=↹⩛5513","layer":1},{"info":"↹⩛40122⊴↹⩛4351=NaN","layer":1},{"info":"↹⩛5513⩁⩘NaN=NaN","layer":0}]}
{"id":169,"expression_no_base_symbol":"$1694$≴⪞⇿$4682$⨼⩣($2304$⇴∐$1256$)","expression":"↹⩛11502≴⪞⇿↹⩛33402⨼⩣(↹⩛14400⇴∐↹⩛5452)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15750,"operation_count":3,"complexity_ratio":5250.0,"tree":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1694,"base":6},"right_expr":{"type":"numeric_atoms","value":4682,"base":6}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2304,"base":6},"right_expr":{"type":"numeric_atoms","value":1256,"base":6}}},"used_operators":["JxwMv5le6e","lvlrscuwVU","HnzytWxmAO"],"dependent_operators":["uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1694","layer":2},{"info":"number node, value=4682","layer":2},{"info":"compute binary expreesion, left_input=1694, right_input=4682, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=4038716","layer":1},{"info":"number node, value=2304","layer":2},{"info":"number node, value=1256","layer":2},{"info":"compute binary expreesion, left_input=2304, right_input=1256, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4038716, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛11502≴⪞⇿↹⩛33402⨼⩣(↹⩛14400⇴∐↹⩛5452)=NaN","reverse_text":"NaN=↹⩛11502≴⪞⇿↹⩛33402⨼⩣(↹⩛14400⇴∐↹⩛5452)","cot":[{"info":"↹⩛11502≴⪞⇿↹⩛33402=↹⩛222321432","layer":1},{"info":"↹⩛14400⇴∐↹⩛5452=NaN","layer":1},{"info":"↹⩛222321432⨼⩣NaN=NaN","layer":0}]}
{"id":170,"expression_no_base_symbol":"$2737$∌↝$8242$⨸⪁$2683$⪔⊥$3540$","expression":"↹⩛20401∌↝↹⩛102054⨸⪁↹⩛20231⪔⊥↹⩛24220","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":39,"operation_count":3,"complexity_ratio":13.0,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2737,"base":6},"right_expr":{"type":"numeric_atoms","value":8242,"base":6}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2683,"base":6},"right_expr":{"type":"numeric_atoms","value":3540,"base":6}}},"used_operators":["g55IO6H4Gj","9Isq31Ruls","HJ9erzHUuu"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"↹⩛51550","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2737","layer":2},{"info":"number node, value=8242","layer":2},{"info":"compute binary expreesion, left_input=2737, right_input=8242, 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=2683","layer":2},{"info":"number node, value=3540","layer":2},{"info":"compute binary expreesion, left_input=2683, right_input=3540, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=3453","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=3453, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6906","layer":0}],"base":6,"result_base":6,"text":"↹⩛20401∌↝↹⩛102054⨸⪁↹⩛20231⪔⊥↹⩛24220=↹⩛51550","reverse_text":"↹⩛51550=↹⩛20401∌↝↹⩛102054⨸⪁↹⩛20231⪔⊥↹⩛24220","cot":[{"info":"↹⩛20401∌↝↹⩛102054=↹⩛0","layer":1},{"info":"↹⩛20231⪔⊥↹⩛24220=↹⩛23553","layer":1},{"info":"↹⩛0⨸⪁↹⩛23553=↹⩛51550","layer":0}]}
{"id":171,"expression_no_base_symbol":"$3324$≎⪠$4711$⫁⪎(⇜⊴$2102$)","expression":"↹⩛23220≎⪠↹⩛33451⫁⪎(⇜⊴↹⩛13422)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19191,"operation_count":3,"complexity_ratio":6397.0,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":3324,"base":6},"right_expr":{"type":"numeric_atoms","value":4711,"base":6}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":2102,"base":6}}},"used_operators":["xRrnTEsQ6j","aNhz54LH3e","XwDhCwWbUn"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ"],"result":"↹⩛14431404","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3324","layer":2},{"info":"number node, value=4711","layer":2},{"info":"compute binary expreesion, left_input=3324, right_input=4711, 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=2102","layer":2},{"info":"compute unary expreesion, input=2102, 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=-482358","layer":1},{"info":"compute binary expreesion, left_input=19558, right_input=-482358, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=501916","layer":0}],"base":6,"result_base":6,"text":"↹⩛23220≎⪠↹⩛33451⫁⪎(⇜⊴↹⩛13422)=↹⩛14431404","reverse_text":"↹⩛14431404=↹⩛23220≎⪠↹⩛33451⫁⪎(⇜⊴↹⩛13422)","cot":[{"info":"↹⩛23220≎⪠↹⩛33451=↹⩛230314","layer":1},{"info":"⇜⊴↹⩛13422=↹⩛-14201050","layer":1},{"info":"↹⩛230314⫁⪎↹⩛-14201050=↹⩛14431404","layer":0}]}
{"id":172,"expression_no_base_symbol":"($8241$⨁⊸⫻)∌($1768$⫃⨇$4784$)","expression":"(↹⩛102053⨁⊸⫻)∌(↹⩛12104⫃⨇↹⩛34052)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":8241,"base":6}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1768,"base":6},"right_expr":{"type":"numeric_atoms","value":4784,"base":6}}},"used_operators":["8cLx32lpNA","glklzrTFfD","09Ly4LVMIf"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"↹⩛224424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8241","layer":2},{"info":"compute unary expreesion, input=8241, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=8241","layer":1},{"info":"number node, value=1768","layer":2},{"info":"number node, value=4784","layer":2},{"info":"compute binary expreesion, left_input=1768, right_input=4784, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-19168","layer":1},{"info":"compute binary expreesion, left_input=8241, right_input=-19168, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=19168","layer":0}],"base":6,"result_base":6,"text":"(↹⩛102053⨁⊸⫻)∌(↹⩛12104⫃⨇↹⩛34052)=↹⩛224424","reverse_text":"↹⩛224424=(↹⩛102053⨁⊸⫻)∌(↹⩛12104⫃⨇↹⩛34052)","cot":[{"info":"↹⩛102053⨁⊸⫻=↹⩛102053","layer":1},{"info":"↹⩛12104⫃⨇↹⩛34052=↹⩛-224424","layer":1},{"info":"↹⩛102053∌↹⩛-224424=↹⩛224424","layer":0}]}
{"id":173,"expression_no_base_symbol":"(∮$3203$)≳⇉$1331$∥⊢⊲$2377$","expression":"(∮↹⩛22455)≳⇉↹⩛10055∥⊢⊲↹⩛15001","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":373,"operation_count":3,"complexity_ratio":124.33333333333333,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":3203,"base":6}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1331,"base":6},"right_expr":{"type":"numeric_atoms","value":2377,"base":6}}},"used_operators":["V0kx6qeWkN","CqXKPLVYql","v1UQAVDJRr"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","EBcxylXtPf","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3203","layer":2},{"info":"compute unary expreesion, input=3203, 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=1331","layer":2},{"info":"number node, value=2377","layer":2},{"info":"compute binary expreesion, left_input=1331, right_input=2377, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, 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":6,"result_base":6,"text":"(∮↹⩛22455)≳⇉↹⩛10055∥⊢⊲↹⩛15001=NaN","reverse_text":"NaN=(∮↹⩛22455)≳⇉↹⩛10055∥⊢⊲↹⩛15001","cot":[{"info":"∮↹⩛22455=↹⩛151","layer":1},{"info":"↹⩛10055∥⊢⊲↹⩛15001=NaN","layer":1},{"info":"↹⩛151≳⇉NaN=NaN","layer":0}]}
{"id":174,"expression_no_base_symbol":"(⪁⇼$5248$)∇⊂⋱($6950$⩵∡$5200$)","expression":"(⪁⇼↹⩛40144)∇⊂⋱(↹⩛52102⩵∡↹⩛40024)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27,"operation_count":3,"complexity_ratio":9.0,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":5248,"base":6}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":6950,"base":6},"right_expr":{"type":"numeric_atoms","value":5200,"base":6}}},"used_operators":["nhYeJWJD5X","ZNVVrZ94lY","Y7wcNGrDQJ"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"↹⩛1214","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5248","layer":2},{"info":"compute unary expreesion, input=5248, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":1},{"info":"number node, value=6950","layer":2},{"info":"number node, value=5200","layer":2},{"info":"compute binary expreesion, left_input=6950, right_input=5200, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-8821","layer":1},{"info":"compute binary expreesion, left_input=422, right_input=-8821, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=298","layer":0}],"base":6,"result_base":6,"text":"(⪁⇼↹⩛40144)∇⊂⋱(↹⩛52102⩵∡↹⩛40024)=↹⩛1214","reverse_text":"↹⩛1214=(⪁⇼↹⩛40144)∇⊂⋱(↹⩛52102⩵∡↹⩛40024)","cot":[{"info":"⪁⇼↹⩛40144=↹⩛1542","layer":1},{"info":"↹⩛52102⩵∡↹⩛40024=↹⩛-104501","layer":1},{"info":"↹⩛1542∇⊂⋱↹⩛-104501=↹⩛1214","layer":0}]}
{"id":175,"expression_no_base_symbol":"$3922$⫯⪬∳$1235$⪒⊣⊆($1643$⫩)","expression":"↹⩛30054⫯⪬∳↹⩛5415⪒⊣⊆(↹⩛11335⫩)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1656,"operation_count":3,"complexity_ratio":552.0,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":3922,"base":6},"right_expr":{"type":"numeric_atoms","value":1235,"base":6}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":1643,"base":6}}},"used_operators":["eRqsBgTDFp","d7ASUq0ydm","6aG7x05OhS"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","dWAJyo7jo9"],"result":"↹⩛442240","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3922","layer":2},{"info":"number node, value=1235","layer":2},{"info":"compute binary expreesion, left_input=3922, right_input=1235, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=18408","layer":1},{"info":"number node, value=1643","layer":2},{"info":"compute unary expreesion, input=1643, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=18408, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=36816","layer":0}],"base":6,"result_base":6,"text":"↹⩛30054⫯⪬∳↹⩛5415⪒⊣⊆(↹⩛11335⫩)=↹⩛442240","reverse_text":"↹⩛442240=↹⩛30054⫯⪬∳↹⩛5415⪒⊣⊆(↹⩛11335⫩)","cot":[{"info":"↹⩛30054⫯⪬∳↹⩛5415=↹⩛221120","layer":1},{"info":"↹⩛11335⫩=NaN","layer":1},{"info":"↹⩛221120⪒⊣⊆NaN=↹⩛442240","layer":0}]}
{"id":176,"expression_no_base_symbol":"$4321$⫦⪉$3823$⋷($7382$⪃↞⩐)","expression":"↹⩛32001⫦⪉↹⩛25411⋷(↹⩛54102⪃↞⩐)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":741,"operation_count":3,"complexity_ratio":247.0,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":4321,"base":6},"right_expr":{"type":"numeric_atoms","value":3823,"base":6}},"right_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":7382,"base":6}}},"used_operators":["23Mk6UjR3U","wscyQdcy20","grXIztHqDa"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9"],"result":"↹⩛54352","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4321","layer":2},{"info":"number node, value=3823","layer":2},{"info":"compute binary expreesion, left_input=4321, right_input=3823, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-3742","layer":1},{"info":"number node, value=7382","layer":2},{"info":"compute unary expreesion, input=7382, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=44598","layer":1},{"info":"compute binary expreesion, left_input=-3742, right_input=44598, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7484","layer":0}],"base":6,"result_base":6,"text":"↹⩛32001⫦⪉↹⩛25411⋷(↹⩛54102⪃↞⩐)=↹⩛54352","reverse_text":"↹⩛54352=↹⩛32001⫦⪉↹⩛25411⋷(↹⩛54102⪃↞⩐)","cot":[{"info":"↹⩛32001⫦⪉↹⩛25411=↹⩛-25154","layer":1},{"info":"↹⩛54102⪃↞⩐=↹⩛542250","layer":1},{"info":"↹⩛-25154⋷↹⩛542250=↹⩛54352","layer":0}]}
{"id":177,"expression_no_base_symbol":"-($1103$∽$1151$)","expression":"-(↹⩛5035∽↹⩛5155)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":2,"complexity_ratio":5.5,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1103,"base":6},"right_expr":{"type":"numeric_atoms","value":1151,"base":6}}},"used_operators":["t8gj7n24qd","y4ImoPnbV5"],"dependent_operators":["NTOWxs364D","QMFrweE19q"],"result":"↹⩛104410","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1103","layer":2},{"info":"number node, value=1151","layer":2},{"info":"compute binary expreesion, left_input=1103, right_input=1151, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-8790","layer":1},{"info":"compute unary expreesion, input=-8790, op_id = t8gj7n24qd, unary_op_definition = 'None', output=8790","layer":0}],"base":6,"result_base":6,"text":"-(↹⩛5035∽↹⩛5155)=↹⩛104410","reverse_text":"↹⩛104410=-(↹⩛5035∽↹⩛5155)","cot":[{"info":"↹⩛5035∽↹⩛5155=↹⩛-104410","layer":1},{"info":"-↹⩛-104410=↹⩛104410","layer":0}]}
{"id":178,"expression_no_base_symbol":"$1164$⩘$1093$⇄(+⊝⨔$1411$)","expression":"↹⩛5220⩘↹⩛5021⇄(+⊝⨔↹⩛10311)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":140,"operation_count":3,"complexity_ratio":46.666666666666664,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1164,"base":6},"right_expr":{"type":"numeric_atoms","value":1093,"base":6}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1411,"base":6}}},"used_operators":["3EYGwJThht","cHh1gJQ2o6","DhbWaqg5eL"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"↹⩛-4450","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1164","layer":2},{"info":"number node, value=1093","layer":2},{"info":"compute binary expreesion, left_input=1164, right_input=1093, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"number node, value=1411","layer":2},{"info":"compute unary expreesion, input=1411, 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=160, right_input=1522, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=-1038","layer":0}],"base":6,"result_base":6,"text":"↹⩛5220⩘↹⩛5021⇄(+⊝⨔↹⩛10311)=↹⩛-4450","reverse_text":"↹⩛-4450=↹⩛5220⩘↹⩛5021⇄(+⊝⨔↹⩛10311)","cot":[{"info":"↹⩛5220⩘↹⩛5021=↹⩛424","layer":1},{"info":"+⊝⨔↹⩛10311=↹⩛11014","layer":1},{"info":"↹⩛424⇄↹⩛11014=↹⩛-4450","layer":0}]}
{"id":179,"expression_no_base_symbol":"⊲⪭($2562$∌$2463$)","expression":"⊲⪭(↹⩛15510∌↹⩛15223)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2562,"base":6},"right_expr":{"type":"numeric_atoms","value":2463,"base":6}}},"used_operators":["k7HXdKtiEU","8cLx32lpNA"],"dependent_operators":["i8ToyICDmI","xUOZtlo3hN","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"↹⩛14333","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2562","layer":2},{"info":"number node, value=2463","layer":2},{"info":"compute binary expreesion, left_input=2562, right_input=2463, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2463","layer":1},{"info":"compute unary expreesion, input=-2463, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=2289","layer":0}],"base":6,"result_base":6,"text":"⊲⪭(↹⩛15510∌↹⩛15223)=↹⩛14333","reverse_text":"↹⩛14333=⊲⪭(↹⩛15510∌↹⩛15223)","cot":[{"info":"↹⩛15510∌↹⩛15223=↹⩛-15223","layer":1},{"info":"⊲⪭↹⩛-15223=↹⩛14333","layer":0}]}
{"id":180,"expression_no_base_symbol":"$5793$≃$3508$∪⫐$1098$⪔$3579$","expression":"↹⩛42453≃↹⩛24124∪⫐↹⩛5030⪔↹⩛24323","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3698,"operation_count":3,"complexity_ratio":1232.6666666666667,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":5793,"base":6},"right_expr":{"type":"numeric_atoms","value":3508,"base":6}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1098,"base":6},"right_expr":{"type":"numeric_atoms","value":3579,"base":6}}},"used_operators":["7YooWSwCyH","YbVcJGFEVW","GjBEYRfMaF"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi"],"result":"↹⩛-255244","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5793","layer":2},{"info":"number node, value=3508","layer":2},{"info":"compute binary expreesion, left_input=5793, right_input=3508, 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=-23212","layer":1},{"info":"number node, value=1098","layer":2},{"info":"number node, value=3579","layer":2},{"info":"compute binary expreesion, left_input=1098, right_input=3579, 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=-23212, right_input=450, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-23212","layer":0}],"base":6,"result_base":6,"text":"↹⩛42453≃↹⩛24124∪⫐↹⩛5030⪔↹⩛24323=↹⩛-255244","reverse_text":"↹⩛-255244=↹⩛42453≃↹⩛24124∪⫐↹⩛5030⪔↹⩛24323","cot":[{"info":"↹⩛42453≃↹⩛24124=↹⩛-255244","layer":1},{"info":"↹⩛5030⪔↹⩛24323=↹⩛2030","layer":1},{"info":"↹⩛-255244∪⫐↹⩛2030=↹⩛-255244","layer":0}]}
{"id":181,"expression_no_base_symbol":"(⫡⇟⇯$3394$)⫯⪬∳(≇⪴$1981$)","expression":"(⫡⇟⇯↹⩛23414)⫯⪬∳(≇⪴↹⩛13101)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23,"operation_count":3,"complexity_ratio":7.666666666666667,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":3394,"base":6}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":1981,"base":6}}},"used_operators":["d7ASUq0ydm","qWUSsah53b","zoVPnxeHJ3"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","DZ8iAZOCBD","P8v4zCKN1o","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C"],"result":"↹⩛254351","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3394","layer":2},{"info":"compute unary expreesion, input=3394, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=7656","layer":1},{"info":"number node, value=1981","layer":2},{"info":"compute unary expreesion, input=1981, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-4603","layer":1},{"info":"compute binary expreesion, left_input=7656, right_input=-4603, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=23035","layer":0}],"base":6,"result_base":6,"text":"(⫡⇟⇯↹⩛23414)⫯⪬∳(≇⪴↹⩛13101)=↹⩛254351","reverse_text":"↹⩛254351=(⫡⇟⇯↹⩛23414)⫯⪬∳(≇⪴↹⩛13101)","cot":[{"info":"⫡⇟⇯↹⩛23414=↹⩛55240","layer":1},{"info":"≇⪴↹⩛13101=↹⩛-33151","layer":1},{"info":"↹⩛55240⫯⪬∳↹⩛-33151=↹⩛254351","layer":0}]}
{"id":182,"expression_no_base_symbol":"(⇋⊎⋝$1358$)∀⇚≩(⇋↷$4576$)","expression":"(⇋⊎⋝↹⩛10142)∀⇚≩(⇋↷↹⩛33104)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1367,"operation_count":3,"complexity_ratio":455.6666666666667,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":1358,"base":6}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":4576,"base":6}}},"used_operators":["LRNGc0VcxI","CzM2PEoXns","SWo3A1KBJH"],"dependent_operators":["X99M06cbEe","dWAJyo7jo9","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1358","layer":2},{"info":"compute unary expreesion, input=1358, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":1},{"info":"number node, value=4576","layer":2},{"info":"compute unary expreesion, input=4576, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=36608","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=36608, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":6,"result_base":6,"text":"(⇋⊎⋝↹⩛10142)∀⇚≩(⇋↷↹⩛33104)=NaN","reverse_text":"NaN=(⇋⊎⋝↹⩛10142)∀⇚≩(⇋↷↹⩛33104)","cot":[{"info":"⇋⊎⋝↹⩛10142=NaN","layer":1},{"info":"⇋↷↹⩛33104=↹⩛441252","layer":1},{"info":"NaN∀⇚≩↹⩛441252=NaN","layer":0}]}
{"id":183,"expression_no_base_symbol":"($2496$↳∿⪆$2626$)⇤($5697$∠↢$2335$)","expression":"(↹⩛15320↳∿⪆↹⩛20054)⇤(↹⩛42213∠↢↹⩛14451)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2447,"operation_count":3,"complexity_ratio":815.6666666666666,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2496,"base":6},"right_expr":{"type":"numeric_atoms","value":2626,"base":6}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":5697,"base":6},"right_expr":{"type":"numeric_atoms","value":2335,"base":6}}},"used_operators":["YSKBFp38Pu","Cw4SuJJGHO","KbjG8mgYpV"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2496","layer":2},{"info":"number node, value=2626","layer":2},{"info":"compute binary expreesion, left_input=2496, right_input=2626, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"number node, value=5697","layer":2},{"info":"number node, value=2335","layer":2},{"info":"compute binary expreesion, left_input=5697, right_input=2335, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-54396","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-54396, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛15320↳∿⪆↹⩛20054)⇤(↹⩛42213∠↢↹⩛14451)=NaN","reverse_text":"NaN=(↹⩛15320↳∿⪆↹⩛20054)⇤(↹⩛42213∠↢↹⩛14451)","cot":[{"info":"↹⩛15320↳∿⪆↹⩛20054=NaN","layer":1},{"info":"↹⩛42213∠↢↹⩛14451=↹⩛-1055500","layer":1},{"info":"NaN⇤↹⩛-1055500=NaN","layer":0}]}
{"id":184,"expression_no_base_symbol":"($1025$⪨≂$2320$)↠","expression":"(↹⩛4425⪨≂↹⩛14424)↠","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1599,"operation_count":2,"complexity_ratio":799.5,"tree":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1025,"base":6},"right_expr":{"type":"numeric_atoms","value":2320,"base":6}}},"used_operators":["LBdsKIvxzf","sdazOOVcIp"],"dependent_operators":["d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1025","layer":2},{"info":"number node, value=2320","layer":2},{"info":"compute binary expreesion, left_input=1025, right_input=2320, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2488","layer":1},{"info":"compute unary expreesion, input=-2488, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛4425⪨≂↹⩛14424)↠=NaN","reverse_text":"NaN=(↹⩛4425⪨≂↹⩛14424)↠","cot":[{"info":"↹⩛4425⪨≂↹⩛14424=↹⩛-15304","layer":1},{"info":"↹⩛-15304↠=NaN","layer":0}]}
{"id":185,"expression_no_base_symbol":"≑⋹($3542$∪⫐$2355$)","expression":"≑⋹(↹⩛24222∪⫐↹⩛14523)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":110,"operation_count":2,"complexity_ratio":55.0,"tree":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":3542,"base":6},"right_expr":{"type":"numeric_atoms","value":2355,"base":6}}},"used_operators":["6B9nyZLogK","7YooWSwCyH"],"dependent_operators":["aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","rJVOvQCfKK","2DDjHMKMc0"],"result":"↹⩛11350","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3542","layer":2},{"info":"number node, value=2355","layer":2},{"info":"compute binary expreesion, left_input=3542, right_input=2355, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=3542","layer":1},{"info":"compute unary expreesion, input=3542, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":0}],"base":6,"result_base":6,"text":"≑⋹(↹⩛24222∪⫐↹⩛14523)=↹⩛11350","reverse_text":"↹⩛11350=≑⋹(↹⩛24222∪⫐↹⩛14523)","cot":[{"info":"↹⩛24222∪⫐↹⩛14523=↹⩛24222","layer":1},{"info":"≑⋹↹⩛24222=↹⩛11350","layer":0}]}
{"id":186,"expression_no_base_symbol":"($1094$⨻⩈⩔$8844$)≠≀$2473$⪒⊣⊆$6153$","expression":"(↹⩛5022⨻⩈⩔↹⩛104540)≠≀↹⩛15241⪒⊣⊆↹⩛44253","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":124,"operation_count":3,"complexity_ratio":41.333333333333336,"tree":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1094,"base":6},"right_expr":{"type":"numeric_atoms","value":8844,"base":6}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2473,"base":6},"right_expr":{"type":"numeric_atoms","value":6153,"base":6}}},"used_operators":["IwW236VD4Y","nEsXyWgiOK","eRqsBgTDFp"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","sdazOOVcIp","W4YGzv6Whe"],"result":"↹⩛3010","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1094","layer":2},{"info":"number node, value=8844","layer":2},{"info":"compute binary expreesion, left_input=1094, right_input=8844, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":1},{"info":"number node, value=2473","layer":2},{"info":"number node, value=6153","layer":2},{"info":"compute binary expreesion, left_input=2473, right_input=6153, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=4946","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=4946, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=654","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5022⨻⩈⩔↹⩛104540)≠≀↹⩛15241⪒⊣⊆↹⩛44253=↹⩛3010","reverse_text":"↹⩛3010=(↹⩛5022⨻⩈⩔↹⩛104540)≠≀↹⩛15241⪒⊣⊆↹⩛44253","cot":[{"info":"↹⩛5022⨻⩈⩔↹⩛104540=↹⩛-450","layer":1},{"info":"↹⩛15241⪒⊣⊆↹⩛44253=↹⩛34522","layer":1},{"info":"↹⩛-450≠≀↹⩛34522=↹⩛3010","layer":0}]}
{"id":187,"expression_no_base_symbol":"($3410$⨽⪊≇)⊴($4779$⩇∃⫛$2637$)","expression":"(↹⩛23442⨽⪊≇)⊴(↹⩛34043⩇∃⫛↹⩛20113)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4315,"operation_count":3,"complexity_ratio":1438.3333333333333,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"numeric_atoms","value":3410,"base":6}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":4779,"base":6},"right_expr":{"type":"numeric_atoms","value":2637,"base":6}}},"used_operators":["Nsiff2A1zJ","nlCqmYiOvY","1aApVXNlOP"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3410","layer":2},{"info":"compute unary expreesion, input=3410, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=6294","layer":1},{"info":"number node, value=4779","layer":2},{"info":"number node, value=2637","layer":2},{"info":"compute binary expreesion, left_input=4779, right_input=2637, 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=-1669","layer":1},{"info":"compute binary expreesion, left_input=6294, right_input=-1669, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛23442⨽⪊≇)⊴(↹⩛34043⩇∃⫛↹⩛20113)=NaN","reverse_text":"NaN=(↹⩛23442⨽⪊≇)⊴(↹⩛34043⩇∃⫛↹⩛20113)","cot":[{"info":"↹⩛23442⨽⪊≇=↹⩛45050","layer":1},{"info":"↹⩛34043⩇∃⫛↹⩛20113=↹⩛-11421","layer":1},{"info":"↹⩛45050⊴↹⩛-11421=NaN","layer":0}]}
{"id":188,"expression_no_base_symbol":"⇋⊎⋝(≇⪴$3032$)","expression":"⇋⊎⋝(≇⪴↹⩛22012)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7763,"operation_count":2,"complexity_ratio":3881.5,"tree":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":3032,"base":6}}},"used_operators":["CzM2PEoXns","zoVPnxeHJ3"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3032","layer":2},{"info":"compute unary expreesion, input=3032, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-7756","layer":1},{"info":"compute unary expreesion, input=-7756, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⇋⊎⋝(≇⪴↹⩛22012)=NaN","reverse_text":"NaN=⇋⊎⋝(≇⪴↹⩛22012)","cot":[{"info":"≇⪴↹⩛22012=↹⩛-55524","layer":1},{"info":"⇋⊎⋝↹⩛-55524=NaN","layer":0}]}
{"id":189,"expression_no_base_symbol":"(⊊≼∋$4841$)⪘⫢$8321$⪘⫢$3399$","expression":"(⊊≼∋↹⩛34225)⪘⫢↹⩛102305⪘⫢↹⩛23423","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4892,"operation_count":3,"complexity_ratio":1630.6666666666667,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":4841,"base":6}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":8321,"base":6},"right_expr":{"type":"numeric_atoms","value":3399,"base":6}}},"used_operators":["oacrs7FA3X","FWz7pXsQhA"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","B5M0gjZbta","jCPkEVoL5K"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4841","layer":2},{"info":"compute unary expreesion, input=4841, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":1},{"info":"number node, value=8321","layer":2},{"info":"number node, value=3399","layer":2},{"info":"compute binary expreesion, left_input=8321, right_input=3399, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=16518","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=16518, 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":0}],"base":6,"result_base":6,"text":"(⊊≼∋↹⩛34225)⪘⫢↹⩛102305⪘⫢↹⩛23423=↹⩛0","reverse_text":"↹⩛0=(⊊≼∋↹⩛34225)⪘⫢↹⩛102305⪘⫢↹⩛23423","cot":[{"info":"⊊≼∋↹⩛34225=↹⩛-2023","layer":1},{"info":"↹⩛102305⪘⫢↹⩛23423=↹⩛204250","layer":1},{"info":"↹⩛-2023⪘⫢↹⩛204250=↹⩛0","layer":0}]}
{"id":190,"expression_no_base_symbol":"(⇜⊴$3119$)⇣⩺⋵($6881$⨒$2524$)","expression":"(⇜⊴↹⩛22235)⇣⩺⋵(↹⩛51505⨒↹⩛15404)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":137,"operation_count":3,"complexity_ratio":45.666666666666664,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":3119,"base":6}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":6881,"base":6},"right_expr":{"type":"numeric_atoms","value":2524,"base":6}}},"used_operators":["F4yD0voBRQ","XwDhCwWbUn","y75s1iXyHd"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"↹⩛-140102034","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3119","layer":2},{"info":"compute unary expreesion, input=3119, 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=-722370","layer":1},{"info":"number node, value=6881","layer":2},{"info":"number node, value=2524","layer":2},{"info":"compute binary expreesion, left_input=6881, right_input=2524, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-40914","layer":1},{"info":"compute binary expreesion, left_input=-722370, right_input=-40914, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-2807590","layer":0}],"base":6,"result_base":6,"text":"(⇜⊴↹⩛22235)⇣⩺⋵(↹⩛51505⨒↹⩛15404)=↹⩛-140102034","reverse_text":"↹⩛-140102034=(⇜⊴↹⩛22235)⇣⩺⋵(↹⩛51505⨒↹⩛15404)","cot":[{"info":"⇜⊴↹⩛22235=↹⩛-23252150","layer":1},{"info":"↹⩛51505⨒↹⩛15404=↹⩛-513230","layer":1},{"info":"↹⩛-23252150⇣⩺⋵↹⩛-513230=↹⩛-140102034","layer":0}]}
{"id":191,"expression_no_base_symbol":"$4144$⇻⋧≁$1362$⇄$4806$↬$1279$","expression":"↹⩛31104⇻⋧≁↹⩛10150⇄↹⩛34130↬↹⩛5531","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4179,"operation_count":3,"complexity_ratio":1393.0,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":4144,"base":6},"right_expr":{"type":"numeric_atoms","value":1362,"base":6}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4806,"base":6},"right_expr":{"type":"numeric_atoms","value":1279,"base":6}}},"used_operators":["3EYGwJThht","jCPkEVoL5K","B5M0gjZbta"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4144","layer":2},{"info":"number node, value=1362","layer":2},{"info":"compute binary expreesion, left_input=4144, right_input=1362, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":1},{"info":"number node, value=4806","layer":2},{"info":"number node, value=1279","layer":2},{"info":"compute binary expreesion, left_input=4806, right_input=1279, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬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=-447, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛31104⇻⋧≁↹⩛10150⇄↹⩛34130↬↹⩛5531=NaN","reverse_text":"NaN=↹⩛31104⇻⋧≁↹⩛10150⇄↹⩛34130↬↹⩛5531","cot":[{"info":"↹⩛31104⇻⋧≁↹⩛10150=↹⩛-2023","layer":1},{"info":"↹⩛34130↬↹⩛5531=NaN","layer":1},{"info":"↹⩛-2023⇄NaN=NaN","layer":0}]}
{"id":192,"expression_no_base_symbol":"($6664$≬⋮$2048$)⊕∕($4050$⫌⩉⩟$1025$)","expression":"(↹⩛50504≬⋮↹⩛13252)⊕∕(↹⩛30430⫌⩉⩟↹⩛4425)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5097,"operation_count":3,"complexity_ratio":1699.0,"tree":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":6664,"base":6},"right_expr":{"type":"numeric_atoms","value":2048,"base":6}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":4050,"base":6},"right_expr":{"type":"numeric_atoms","value":1025,"base":6}}},"used_operators":["9cloC0Ngie","kbkesczE7y","XIIwhv8d0m"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"↹⩛4004","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=6664","layer":2},{"info":"number node, value=2048","layer":2},{"info":"compute binary expreesion, left_input=6664, right_input=2048, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=4050","layer":2},{"info":"number node, value=1025","layer":2},{"info":"compute binary expreesion, left_input=4050, right_input=1025, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=-50, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=868","layer":0}],"base":6,"result_base":6,"text":"(↹⩛50504≬⋮↹⩛13252)⊕∕(↹⩛30430⫌⩉⩟↹⩛4425)=↹⩛4004","reverse_text":"↹⩛4004=(↹⩛50504≬⋮↹⩛13252)⊕∕(↹⩛30430⫌⩉⩟↹⩛4425)","cot":[{"info":"↹⩛50504≬⋮↹⩛13252=↹⩛4004","layer":1},{"info":"↹⩛30430⫌⩉⩟↹⩛4425=↹⩛-122","layer":1},{"info":"↹⩛4004⊕∕↹⩛-122=↹⩛4004","layer":0}]}
{"id":193,"expression_no_base_symbol":"($2840$≹⇙⪍$1485$)⪬($7550$⨼⩣$4108$)","expression":"(↹⩛21052≹⇙⪍↹⩛10513)⪬(↹⩛54542⨼⩣↹⩛31004)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":958,"operation_count":3,"complexity_ratio":319.3333333333333,"tree":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2840,"base":6},"right_expr":{"type":"numeric_atoms","value":1485,"base":6}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":7550,"base":6},"right_expr":{"type":"numeric_atoms","value":4108,"base":6}}},"used_operators":["Ez1Nq5fNfI","AHs5Up7iyr","JxwMv5le6e"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","dWAJyo7jo9","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"↹⩛5414","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2840","layer":2},{"info":"number node, value=1485","layer":2},{"info":"compute binary expreesion, left_input=2840, right_input=1485, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=7550","layer":2},{"info":"number node, value=4108","layer":2},{"info":"compute binary expreesion, left_input=7550, right_input=4108, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":6,"result_base":6,"text":"(↹⩛21052≹⇙⪍↹⩛10513)⪬(↹⩛54542⨼⩣↹⩛31004)=↹⩛5414","reverse_text":"↹⩛5414=(↹⩛21052≹⇙⪍↹⩛10513)⪬(↹⩛54542⨼⩣↹⩛31004)","cot":[{"info":"↹⩛21052≹⇙⪍↹⩛10513=NaN","layer":1},{"info":"↹⩛54542⨼⩣↹⩛31004=NaN","layer":1},{"info":"NaN⪬NaN=↹⩛5414","layer":0}]}
{"id":194,"expression_no_base_symbol":"($1487$∟)∙∹∝$6048$⨔⇊$3081$","expression":"(↹⩛10515∟)∙∹∝↹⩛44000⨔⇊↹⩛22133","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":63,"operation_count":3,"complexity_ratio":21.0,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":1487,"base":6}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":6048,"base":6},"right_expr":{"type":"numeric_atoms","value":3081,"base":6}}},"used_operators":["HmxsFra2vL","hTbEZDJLEm","JclMnS0uGI"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1487","layer":2},{"info":"compute unary expreesion, input=1487, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":1},{"info":"number node, value=6048","layer":2},{"info":"number node, value=3081","layer":2},{"info":"compute binary expreesion, left_input=6048, right_input=3081, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=3081","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=3081, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10515∟)∙∹∝↹⩛44000⨔⇊↹⩛22133=↹⩛0","reverse_text":"↹⩛0=(↹⩛10515∟)∙∹∝↹⩛44000⨔⇊↹⩛22133","cot":[{"info":"↹⩛10515∟=↹⩛305","layer":1},{"info":"↹⩛44000⨔⇊↹⩛22133=↹⩛22133","layer":1},{"info":"↹⩛305∙∹∝↹⩛22133=↹⩛0","layer":0}]}
{"id":195,"expression_no_base_symbol":"(⇋↷$8240$)⩹($1258$⊠≄⫣)","expression":"(⇋↷↹⩛102052)⩹(↹⩛5454⊠≄⫣)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":24,"operation_count":3,"complexity_ratio":8.0,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":8240,"base":6}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1258,"base":6}}},"used_operators":["2Wsdkap16l","SWo3A1KBJH","DIvbN7qnHd"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛-2","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8240","layer":2},{"info":"compute unary expreesion, input=8240, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=65920","layer":1},{"info":"number node, value=1258","layer":2},{"info":"compute unary expreesion, input=1258, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=65920, right_input=0, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-2","layer":0}],"base":6,"result_base":6,"text":"(⇋↷↹⩛102052)⩹(↹⩛5454⊠≄⫣)=↹⩛-2","reverse_text":"↹⩛-2=(⇋↷↹⩛102052)⩹(↹⩛5454⊠≄⫣)","cot":[{"info":"⇋↷↹⩛102052=↹⩛1225104","layer":1},{"info":"↹⩛5454⊠≄⫣=↹⩛0","layer":1},{"info":"↹⩛1225104⩹↹⩛0=↹⩛-2","layer":0}]}
{"id":196,"expression_no_base_symbol":"(⋗⩬⋾$1005$)⨂≜($6844$⩣⫁∢$2570$)","expression":"(⋗⩬⋾↹⩛4353)⨂≜(↹⩛51404⩣⫁∢↹⩛15522)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3069,"operation_count":3,"complexity_ratio":1023.0,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1005,"base":6}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":6844,"base":6},"right_expr":{"type":"numeric_atoms","value":2570,"base":6}}},"used_operators":["k1SHOSEABc","DpFCA1CohY","JDUIKTTSIa"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1005","layer":2},{"info":"compute unary expreesion, input=1005, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3015","layer":1},{"info":"number node, value=6844","layer":2},{"info":"number node, value=2570","layer":2},{"info":"compute binary expreesion, left_input=6844, right_input=2570, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-13527","layer":1},{"info":"compute binary expreesion, left_input=-3015, right_input=-13527, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⋗⩬⋾↹⩛4353)⨂≜(↹⩛51404⩣⫁∢↹⩛15522)=NaN","reverse_text":"NaN=(⋗⩬⋾↹⩛4353)⨂≜(↹⩛51404⩣⫁∢↹⩛15522)","cot":[{"info":"⋗⩬⋾↹⩛4353=↹⩛-21543","layer":1},{"info":"↹⩛51404⩣⫁∢↹⩛15522=↹⩛-142343","layer":1},{"info":"↹⩛-21543⨂≜↹⩛-142343=NaN","layer":0}]}
{"id":197,"expression_no_base_symbol":"$1329$∑⇟⊟$1324$*$3015$⪶≀⋏$4346$","expression":"↹⩛10053∑⇟⊟↹⩛10044*↹⩛21543⪶≀⋏↹⩛32042","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1329,"base":6},"right_expr":{"type":"numeric_atoms","value":1324,"base":6}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":3015,"base":6},"right_expr":{"type":"numeric_atoms","value":4346,"base":6}}},"used_operators":["9HNa5Wba9A","U7g4x0WXJJ","zR4jO40bMj"],"dependent_operators":["W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1329","layer":2},{"info":"number node, value=1324","layer":2},{"info":"compute binary expreesion, left_input=1329, right_input=1324, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=3015","layer":2},{"info":"number node, value=4346","layer":2},{"info":"compute binary expreesion, left_input=3015, right_input=4346, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-17969","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-17969, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛10053∑⇟⊟↹⩛10044*↹⩛21543⪶≀⋏↹⩛32042=NaN","reverse_text":"NaN=↹⩛10053∑⇟⊟↹⩛10044*↹⩛21543⪶≀⋏↹⩛32042","cot":[{"info":"↹⩛10053∑⇟⊟↹⩛10044=NaN","layer":1},{"info":"↹⩛21543⪶≀⋏↹⩛32042=↹⩛-215105","layer":1},{"info":"NaN*↹⩛-215105=NaN","layer":0}]}
{"id":198,"expression_no_base_symbol":"⇋↷(⋣$2807$)","expression":"⇋↷(⋣↹⩛20555)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":180,"operation_count":2,"complexity_ratio":90.0,"tree":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":2807,"base":6}}},"used_operators":["SWo3A1KBJH","zQWRhDnn8F"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY"],"result":"↹⩛-154421500","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2807","layer":2},{"info":"compute unary expreesion, input=2807, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-825163","layer":1},{"info":"compute unary expreesion, input=-825163, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=-3300012","layer":0}],"base":6,"result_base":6,"text":"⇋↷(⋣↹⩛20555)=↹⩛-154421500","reverse_text":"↹⩛-154421500=⇋↷(⋣↹⩛20555)","cot":[{"info":"⋣↹⩛20555=↹⩛-25404111","layer":1},{"info":"⇋↷↹⩛-25404111=↹⩛-154421500","layer":0}]}
{"id":199,"expression_no_base_symbol":"(∂⩏⊆$1981$)⪘⫢($2717$⪚⩙≫)","expression":"(∂⩏⊆↹⩛13101)⪘⫢(↹⩛20325⪚⩙≫)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":30,"operation_count":3,"complexity_ratio":10.0,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":1981,"base":6}},"right_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":2717,"base":6}}},"used_operators":["oacrs7FA3X","8WDwsbhb0R","4n53wtyJvv"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","14qkJME0vr","eLAdDNolq6","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1981","layer":2},{"info":"compute unary expreesion, input=1981, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-6022","layer":1},{"info":"number node, value=2717","layer":2},{"info":"compute unary expreesion, input=2717, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-6022, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(∂⩏⊆↹⩛13101)⪘⫢(↹⩛20325⪚⩙≫)=NaN","reverse_text":"NaN=(∂⩏⊆↹⩛13101)⪘⫢(↹⩛20325⪚⩙≫)","cot":[{"info":"∂⩏⊆↹⩛13101=↹⩛-43514","layer":1},{"info":"↹⩛20325⪚⩙≫=NaN","layer":1},{"info":"↹⩛-43514⪘⫢NaN=NaN","layer":0}]}
{"id":200,"expression_no_base_symbol":"($6889$⪕$6776$)⊴($1770$⋣⋖$2587$)","expression":"(↹⩛51521⪕↹⩛51212)⊴(↹⩛12110⋣⋖↹⩛15551)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5514,"operation_count":3,"complexity_ratio":1838.0,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":6889,"base":6},"right_expr":{"type":"numeric_atoms","value":6776,"base":6}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1770,"base":6},"right_expr":{"type":"numeric_atoms","value":2587,"base":6}}},"used_operators":["Nsiff2A1zJ","umQnsF7QlU","J0M6qkBnIM"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6889","layer":2},{"info":"number node, value=6776","layer":2},{"info":"compute binary expreesion, left_input=6889, right_input=6776, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=7903","layer":1},{"info":"number node, value=1770","layer":2},{"info":"number node, value=2587","layer":2},{"info":"compute binary expreesion, left_input=1770, right_input=2587, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1770","layer":1},{"info":"compute binary expreesion, left_input=7903, right_input=1770, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛51521⪕↹⩛51212)⊴(↹⩛12110⋣⋖↹⩛15551)=NaN","reverse_text":"NaN=(↹⩛51521⪕↹⩛51212)⊴(↹⩛12110⋣⋖↹⩛15551)","cot":[{"info":"↹⩛51521⪕↹⩛51212=↹⩛100331","layer":1},{"info":"↹⩛12110⋣⋖↹⩛15551=↹⩛12110","layer":1},{"info":"↹⩛100331⊴↹⩛12110=NaN","layer":0}]}
{"id":201,"expression_no_base_symbol":"($5700$∥⊢⊲$2596$)⋹⋡⊁$2200$⪝$1511$","expression":"(↹⩛42220∥⊢⊲↹⩛20004)⋹⋡⊁↹⩛14104⪝↹⩛10555","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":449,"operation_count":3,"complexity_ratio":149.66666666666666,"tree":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":5700,"base":6},"right_expr":{"type":"numeric_atoms","value":2596,"base":6}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2200,"base":6},"right_expr":{"type":"numeric_atoms","value":1511,"base":6}}},"used_operators":["As8RqfVLgs","v1UQAVDJRr","wicAB68Tmb"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","EBcxylXtPf","rGHVDoGpnC","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5700","layer":2},{"info":"number node, value=2596","layer":2},{"info":"compute binary expreesion, left_input=5700, right_input=2596, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"number node, value=2200","layer":2},{"info":"number node, value=1511","layer":2},{"info":"compute binary expreesion, left_input=2200, right_input=1511, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-3155","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3155, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛42220∥⊢⊲↹⩛20004)⋹⋡⊁↹⩛14104⪝↹⩛10555=NaN","reverse_text":"NaN=(↹⩛42220∥⊢⊲↹⩛20004)⋹⋡⊁↹⩛14104⪝↹⩛10555","cot":[{"info":"↹⩛42220∥⊢⊲↹⩛20004=NaN","layer":1},{"info":"↹⩛14104⪝↹⩛10555=↹⩛-22335","layer":1},{"info":"NaN⋹⋡⊁↹⩛-22335=NaN","layer":0}]}
{"id":202,"expression_no_base_symbol":"$2332$⋳⪒$4449$⩵∡($2635$⫃⨇$1444$)","expression":"↹⩛14444⋳⪒↹⩛32333⩵∡(↹⩛20111⫃⨇↹⩛10404)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27,"operation_count":3,"complexity_ratio":9.0,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2332,"base":6},"right_expr":{"type":"numeric_atoms","value":4449,"base":6}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2635,"base":6},"right_expr":{"type":"numeric_atoms","value":1444,"base":6}}},"used_operators":["Y7wcNGrDQJ","12rbrZMWeM","09Ly4LVMIf"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"↹⩛-42241","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2332","layer":2},{"info":"number node, value=4449","layer":2},{"info":"compute binary expreesion, left_input=2332, right_input=4449, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-72","layer":1},{"info":"number node, value=2635","layer":2},{"info":"number node, value=1444","layer":2},{"info":"compute binary expreesion, left_input=2635, right_input=1444, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-5808","layer":1},{"info":"compute binary expreesion, left_input=-72, right_input=-5808, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-5713","layer":0}],"base":6,"result_base":6,"text":"↹⩛14444⋳⪒↹⩛32333⩵∡(↹⩛20111⫃⨇↹⩛10404)=↹⩛-42241","reverse_text":"↹⩛-42241=↹⩛14444⋳⪒↹⩛32333⩵∡(↹⩛20111⫃⨇↹⩛10404)","cot":[{"info":"↹⩛14444⋳⪒↹⩛32333=↹⩛-200","layer":1},{"info":"↹⩛20111⫃⨇↹⩛10404=↹⩛-42520","layer":1},{"info":"↹⩛-200⩵∡↹⩛-42520=↹⩛-42241","layer":0}]}
{"id":203,"expression_no_base_symbol":"(⇤←$2893$)⨻⩈⩔($3032$∕⩚$1388$)","expression":"(⇤←↹⩛21221)⨻⩈⩔(↹⩛22012∕⩚↹⩛10232)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3164,"operation_count":3,"complexity_ratio":1054.6666666666667,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":2893,"base":6}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":3032,"base":6},"right_expr":{"type":"numeric_atoms","value":1388,"base":6}}},"used_operators":["nEsXyWgiOK","jfAgQ2OQeM","z9ffQ9n5Zr"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"↹⩛-450","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2893","layer":2},{"info":"compute unary expreesion, input=2893, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-13099","layer":1},{"info":"number node, value=3032","layer":2},{"info":"number node, value=1388","layer":2},{"info":"compute binary expreesion, left_input=3032, right_input=1388, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-3035","layer":1},{"info":"compute binary expreesion, left_input=-13099, right_input=-3035, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":0}],"base":6,"result_base":6,"text":"(⇤←↹⩛21221)⨻⩈⩔(↹⩛22012∕⩚↹⩛10232)=↹⩛-450","reverse_text":"↹⩛-450=(⇤←↹⩛21221)⨻⩈⩔(↹⩛22012∕⩚↹⩛10232)","cot":[{"info":"⇤←↹⩛21221=↹⩛-140351","layer":1},{"info":"↹⩛22012∕⩚↹⩛10232=↹⩛-22015","layer":1},{"info":"↹⩛-140351⨻⩈⩔↹⩛-22015=↹⩛-450","layer":0}]}
{"id":204,"expression_no_base_symbol":"($1165$⇋≉)∙⊟$1386$⩚⊴⇥$1807$","expression":"(↹⩛5221⇋≉)∙⊟↹⩛10230⩚⊴⇥↹⩛12211","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2309,"operation_count":3,"complexity_ratio":769.6666666666666,"tree":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1165,"base":6}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1386,"base":6},"right_expr":{"type":"numeric_atoms","value":1807,"base":6}}},"used_operators":["SxTAKzQCrw","XIabStNQrY","NTOWxs364D"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"↹⩛455530","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1165","layer":2},{"info":"compute unary expreesion, input=1165, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2232","layer":1},{"info":"number node, value=1386","layer":2},{"info":"number node, value=1807","layer":2},{"info":"compute binary expreesion, left_input=1386, right_input=1807, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3314","layer":1},{"info":"compute binary expreesion, left_input=2232, right_input=-3314, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=38862","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5221⇋≉)∙⊟↹⩛10230⩚⊴⇥↹⩛12211=↹⩛455530","reverse_text":"↹⩛455530=(↹⩛5221⇋≉)∙⊟↹⩛10230⩚⊴⇥↹⩛12211","cot":[{"info":"↹⩛5221⇋≉=↹⩛14200","layer":1},{"info":"↹⩛10230⩚⊴⇥↹⩛12211=↹⩛-23202","layer":1},{"info":"↹⩛14200∙⊟↹⩛-23202=↹⩛455530","layer":0}]}
{"id":205,"expression_no_base_symbol":"⪲⇎$1269$⨎$3574$","expression":"⪲⇎↹⩛5513⨎↹⩛24314","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1269,"base":6},"right_expr":{"type":"numeric_atoms","value":3574,"base":6}}},"used_operators":["XPYlsWDdGa","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"↹⩛53032","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1269","layer":2},{"info":"number node, value=3574","layer":2},{"info":"compute binary expreesion, left_input=1269, right_input=3574, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3574","layer":1},{"info":"compute unary expreesion, input=3574, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7148","layer":0}],"base":6,"result_base":6,"text":"⪲⇎↹⩛5513⨎↹⩛24314=↹⩛53032","reverse_text":"↹⩛53032=⪲⇎↹⩛5513⨎↹⩛24314","cot":[{"info":"↹⩛5513⨎↹⩛24314=↹⩛24314","layer":1},{"info":"⪲⇎↹⩛24314=↹⩛53032","layer":0}]}
{"id":206,"expression_no_base_symbol":"$3317$≬⋮$2513$⫦⪉$7545$≓∲$4583$","expression":"↹⩛23205≬⋮↹⩛15345⫦⪉↹⩛54533≓∲↹⩛33115","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":86,"operation_count":3,"complexity_ratio":28.666666666666668,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":3317,"base":6},"right_expr":{"type":"numeric_atoms","value":2513,"base":6}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":7545,"base":6},"right_expr":{"type":"numeric_atoms","value":4583,"base":6}}},"used_operators":["wscyQdcy20","kbkesczE7y","s1XTVnmDOJ"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"↹⩛22352","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3317","layer":2},{"info":"number node, value=2513","layer":2},{"info":"compute binary expreesion, left_input=3317, right_input=2513, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=7545","layer":2},{"info":"number node, value=4583","layer":2},{"info":"compute binary expreesion, left_input=7545, right_input=4583, 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=76233","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=76233, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=3164","layer":0}],"base":6,"result_base":6,"text":"↹⩛23205≬⋮↹⩛15345⫦⪉↹⩛54533≓∲↹⩛33115=↹⩛22352","reverse_text":"↹⩛22352=↹⩛23205≬⋮↹⩛15345⫦⪉↹⩛54533≓∲↹⩛33115","cot":[{"info":"↹⩛23205≬⋮↹⩛15345=↹⩛4004","layer":1},{"info":"↹⩛54533≓∲↹⩛33115=↹⩛1344533","layer":1},{"info":"↹⩛4004⫦⪉↹⩛1344533=↹⩛22352","layer":0}]}
{"id":207,"expression_no_base_symbol":"↣≠⋷($4882$↺$6845$)","expression":"↣≠⋷(↹⩛34334↺↹⩛51405)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4882,"base":6},"right_expr":{"type":"numeric_atoms","value":6845,"base":6}}},"used_operators":["Asc51vEJeQ","7j4O788W3g"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4882","layer":2},{"info":"number node, value=6845","layer":2},{"info":"compute binary expreesion, left_input=4882, right_input=6845, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6845","layer":1},{"info":"compute unary expreesion, input=6845, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↣≠⋷(↹⩛34334↺↹⩛51405)=NaN","reverse_text":"NaN=↣≠⋷(↹⩛34334↺↹⩛51405)","cot":[{"info":"↹⩛34334↺↹⩛51405=↹⩛51405","layer":1},{"info":"↣≠⋷↹⩛51405=NaN","layer":0}]}
{"id":208,"expression_no_base_symbol":"≘($3322$⇮⋭$6056$)","expression":"≘(↹⩛23214⇮⋭↹⩛44012)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":248,"operation_count":2,"complexity_ratio":124.0,"tree":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":3322,"base":6},"right_expr":{"type":"numeric_atoms","value":6056,"base":6}}},"used_operators":["tcjXMdvYtA","vkpjKywKVM"],"dependent_operators":["XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"↹⩛5542222","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3322","layer":2},{"info":"number node, value=6056","layer":2},{"info":"compute binary expreesion, left_input=3322, right_input=6056, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":1},{"info":"compute unary expreesion, input=-473, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=277862","layer":0}],"base":6,"result_base":6,"text":"≘(↹⩛23214⇮⋭↹⩛44012)=↹⩛5542222","reverse_text":"↹⩛5542222=≘(↹⩛23214⇮⋭↹⩛44012)","cot":[{"info":"↹⩛23214⇮⋭↹⩛44012=↹⩛-2105","layer":1},{"info":"≘↹⩛-2105=↹⩛5542222","layer":0}]}
{"id":209,"expression_no_base_symbol":"∑⇻≧$3807$⪒$1668$","expression":"∑⇻≧↹⩛25343⪒↹⩛11420","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":12,"operation_count":2,"complexity_ratio":6.0,"tree":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3807,"base":6},"right_expr":{"type":"numeric_atoms","value":1668,"base":6}}},"used_operators":["l1M9WJ3V7u","f6k1SAg4EE"],"dependent_operators":["23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛40313","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3807","layer":2},{"info":"number node, value=1668","layer":2},{"info":"compute binary expreesion, left_input=3807, right_input=1668, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5475","layer":1},{"info":"compute unary expreesion, input=-5475, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=5301","layer":0}],"base":6,"result_base":6,"text":"∑⇻≧↹⩛25343⪒↹⩛11420=↹⩛40313","reverse_text":"↹⩛40313=∑⇻≧↹⩛25343⪒↹⩛11420","cot":[{"info":"↹⩛25343⪒↹⩛11420=↹⩛-41203","layer":1},{"info":"∑⇻≧↹⩛-41203=↹⩛40313","layer":0}]}
{"id":210,"expression_no_base_symbol":"($6101$⫽⇹≛)⪬($1419$⊬⨰$1375$)","expression":"(↹⩛44125⫽⇹≛)⪬(↹⩛10323⊬⨰↹⩛10211)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":603,"operation_count":3,"complexity_ratio":201.0,"tree":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"numeric_atoms","value":6101,"base":6}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1419,"base":6},"right_expr":{"type":"numeric_atoms","value":1375,"base":6}}},"used_operators":["Ez1Nq5fNfI","NNaDxxp6OQ","s3Fd5m9Dh2"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"↹⩛5414","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=6101","layer":2},{"info":"compute unary expreesion, input=6101, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":1},{"info":"number node, value=1419","layer":2},{"info":"number node, value=1375","layer":2},{"info":"compute binary expreesion, left_input=1419, right_input=1375, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=5863","layer":1},{"info":"compute binary expreesion, left_input=272, right_input=5863, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":6,"result_base":6,"text":"(↹⩛44125⫽⇹≛)⪬(↹⩛10323⊬⨰↹⩛10211)=↹⩛5414","reverse_text":"↹⩛5414=(↹⩛44125⫽⇹≛)⪬(↹⩛10323⊬⨰↹⩛10211)","cot":[{"info":"↹⩛44125⫽⇹≛=↹⩛1132","layer":1},{"info":"↹⩛10323⊬⨰↹⩛10211=↹⩛43051","layer":1},{"info":"↹⩛1132⪬↹⩛43051=↹⩛5414","layer":0}]}
{"id":211,"expression_no_base_symbol":"($1085$∼$3123$)↳∿⪆($4098$%$6356$)","expression":"(↹⩛5005∼↹⩛22243)↳∿⪆(↹⩛30550%↹⩛45232)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2471,"operation_count":3,"complexity_ratio":823.6666666666666,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1085,"base":6},"right_expr":{"type":"numeric_atoms","value":3123,"base":6}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4098,"base":6},"right_expr":{"type":"numeric_atoms","value":6356,"base":6}}},"used_operators":["Cw4SuJJGHO","DyGG3AbaNP","k8jYdgA6NY"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1085","layer":2},{"info":"number node, value=3123","layer":2},{"info":"compute binary expreesion, left_input=1085, right_input=3123, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"number node, value=4098","layer":2},{"info":"number node, value=6356","layer":2},{"info":"compute binary expreesion, left_input=4098, right_input=6356, op_id = k8jYdgA6NY binary_op_definition= 'None', output=4098","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4098, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5005∼↹⩛22243)↳∿⪆(↹⩛30550%↹⩛45232)=NaN","reverse_text":"NaN=(↹⩛5005∼↹⩛22243)↳∿⪆(↹⩛30550%↹⩛45232)","cot":[{"info":"↹⩛5005∼↹⩛22243=NaN","layer":1},{"info":"↹⩛30550%↹⩛45232=↹⩛30550","layer":1},{"info":"NaN↳∿⪆↹⩛30550=NaN","layer":0}]}
{"id":212,"expression_no_base_symbol":"$2559$⩼⇪↪$2209$∪⫐$3458$≝⊿$7235$","expression":"↹⩛15503⩼⇪↪↹⩛14121∪⫐↹⩛24002≝⊿↹⩛53255","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":30,"operation_count":3,"complexity_ratio":10.0,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":2559,"base":6},"right_expr":{"type":"numeric_atoms","value":2209,"base":6}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":3458,"base":6},"right_expr":{"type":"numeric_atoms","value":7235,"base":6}}},"used_operators":["7YooWSwCyH","ocnLzx9CaJ","OKKcZfAt5B"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","12rbrZMWeM"],"result":"↹⩛-123304","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2559","layer":2},{"info":"number node, value=2209","layer":2},{"info":"compute binary expreesion, left_input=2559, right_input=2209, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-11128","layer":1},{"info":"number node, value=3458","layer":2},{"info":"number node, value=7235","layer":2},{"info":"compute binary expreesion, left_input=3458, right_input=7235, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-18461","layer":1},{"info":"compute binary expreesion, left_input=-11128, right_input=-18461, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-11128","layer":0}],"base":6,"result_base":6,"text":"↹⩛15503⩼⇪↪↹⩛14121∪⫐↹⩛24002≝⊿↹⩛53255=↹⩛-123304","reverse_text":"↹⩛-123304=↹⩛15503⩼⇪↪↹⩛14121∪⫐↹⩛24002≝⊿↹⩛53255","cot":[{"info":"↹⩛15503⩼⇪↪↹⩛14121=↹⩛-123304","layer":1},{"info":"↹⩛24002≝⊿↹⩛53255=↹⩛-221245","layer":1},{"info":"↹⩛-123304∪⫐↹⩛-221245=↹⩛-123304","layer":0}]}
{"id":213,"expression_no_base_symbol":"($5532$⨐⩸⫘$6572$)∺≝⩲(↪⫪⫘$5981$)","expression":"(↹⩛41340⨐⩸⫘↹⩛50232)∺≝⩲(↪⫪⫘↹⩛43405)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":278,"operation_count":3,"complexity_ratio":92.66666666666667,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5532,"base":6},"right_expr":{"type":"numeric_atoms","value":6572,"base":6}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":5981,"base":6}}},"used_operators":["KPf6cnQVty","fu6greOZ01","9dWsAM3GFt"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","3ViojmjbAp","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5532","layer":2},{"info":"number node, value=6572","layer":2},{"info":"compute binary expreesion, left_input=5532, right_input=6572, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=5981","layer":2},{"info":"compute unary expreesion, input=5981, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=20, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":6,"result_base":6,"text":"(↹⩛41340⨐⩸⫘↹⩛50232)∺≝⩲(↪⫪⫘↹⩛43405)=↹⩛424","reverse_text":"↹⩛424=(↹⩛41340⨐⩸⫘↹⩛50232)∺≝⩲(↪⫪⫘↹⩛43405)","cot":[{"info":"↹⩛41340⨐⩸⫘↹⩛50232=NaN","layer":1},{"info":"↪⫪⫘↹⩛43405=↹⩛32","layer":1},{"info":"NaN∺≝⩲↹⩛32=↹⩛424","layer":0}]}
{"id":214,"expression_no_base_symbol":"(↪⫪⫘$1043$)↡⊰⫅(⋣$4969$)","expression":"(↪⫪⫘↹⩛4455)↡⊰⫅(⋣↹⩛35001)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":264,"operation_count":3,"complexity_ratio":88.0,"tree":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":1043,"base":6}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":4969,"base":6}}},"used_operators":["VCtxkLNOzz","9dWsAM3GFt","zQWRhDnn8F"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1043","layer":2},{"info":"compute unary expreesion, input=1043, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":1},{"info":"number node, value=4969","layer":2},{"info":"compute unary expreesion, input=4969, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-1460791","layer":1},{"info":"compute binary expreesion, left_input=20, right_input=-1460791, 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":6,"result_base":6,"text":"(↪⫪⫘↹⩛4455)↡⊰⫅(⋣↹⩛35001)=NaN","reverse_text":"NaN=(↪⫪⫘↹⩛4455)↡⊰⫅(⋣↹⩛35001)","cot":[{"info":"↪⫪⫘↹⩛4455=↹⩛32","layer":1},{"info":"⋣↹⩛35001=↹⩛-51150531","layer":1},{"info":"↹⩛32↡⊰⫅↹⩛-51150531=NaN","layer":0}]}
{"id":215,"expression_no_base_symbol":"(⪡⇡≛$3856$)+⪬∐($5883$⇴∐$2648$)","expression":"(⪡⇡≛↹⩛25504)+⪬∐(↹⩛43123⇴∐↹⩛20132)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":61,"operation_count":3,"complexity_ratio":20.333333333333332,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":3856,"base":6}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":5883,"base":6},"right_expr":{"type":"numeric_atoms","value":2648,"base":6}}},"used_operators":["2GS7woTJqF","qL4PrbW1Dq","HnzytWxmAO"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"↹⩛125320","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3856","layer":2},{"info":"compute unary expreesion, input=3856, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-3856","layer":1},{"info":"number node, value=5883","layer":2},{"info":"number node, value=2648","layer":2},{"info":"compute binary expreesion, left_input=5883, right_input=2648, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3856, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=11568","layer":0}],"base":6,"result_base":6,"text":"(⪡⇡≛↹⩛25504)+⪬∐(↹⩛43123⇴∐↹⩛20132)=↹⩛125320","reverse_text":"↹⩛125320=(⪡⇡≛↹⩛25504)+⪬∐(↹⩛43123⇴∐↹⩛20132)","cot":[{"info":"⪡⇡≛↹⩛25504=↹⩛-25504","layer":1},{"info":"↹⩛43123⇴∐↹⩛20132=NaN","layer":1},{"info":"↹⩛-25504+⪬∐NaN=↹⩛125320","layer":0}]}
{"id":216,"expression_no_base_symbol":"(⊽$5446$)≎⪠($6626$↪⪝)","expression":"(⊽↹⩛41114)≎⪠(↹⩛50402↪⪝)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19814,"operation_count":3,"complexity_ratio":6604.666666666667,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":5446,"base":6}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":6626,"base":6}}},"used_operators":["aNhz54LH3e","QxG7OkqoLX","l07mrZUIn9"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","9HNa5Wba9A","2DDjHMKMc0"],"result":"↹⩛230314","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5446","layer":2},{"info":"compute unary expreesion, input=5446, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=12414","layer":1},{"info":"number node, value=6626","layer":2},{"info":"compute unary expreesion, input=6626, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=405391932","layer":1},{"info":"compute binary expreesion, left_input=12414, right_input=405391932, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":6,"result_base":6,"text":"(⊽↹⩛41114)≎⪠(↹⩛50402↪⪝)=↹⩛230314","reverse_text":"↹⩛230314=(⊽↹⩛41114)≎⪠(↹⩛50402↪⪝)","cot":[{"info":"⊽↹⩛41114=↹⩛133250","layer":1},{"info":"↹⩛50402↪⪝=↹⩛104120542300","layer":1},{"info":"↹⩛133250≎⪠↹⩛104120542300=↹⩛230314","layer":0}]}
{"id":217,"expression_no_base_symbol":"⋂($6988$⋳⪒$1765$)","expression":"⋂(↹⩛52204⋳⪒↹⩛12101)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":23,"operation_count":2,"complexity_ratio":11.5,"tree":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6988,"base":6},"right_expr":{"type":"numeric_atoms","value":1765,"base":6}}},"used_operators":["BUOGQAYlQx","12rbrZMWeM"],"dependent_operators":["NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛-3322032","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6988","layer":2},{"info":"number node, value=1765","layer":2},{"info":"compute binary expreesion, left_input=6988, right_input=1765, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=11924","layer":1},{"info":"compute unary expreesion, input=11924, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-166340","layer":0}],"base":6,"result_base":6,"text":"⋂(↹⩛52204⋳⪒↹⩛12101)=↹⩛-3322032","reverse_text":"↹⩛-3322032=⋂(↹⩛52204⋳⪒↹⩛12101)","cot":[{"info":"↹⩛52204⋳⪒↹⩛12101=↹⩛131112","layer":1},{"info":"⋂↹⩛131112=↹⩛-3322032","layer":0}]}
{"id":218,"expression_no_base_symbol":"$1761$≌$2025$⇤(⩰$4216$)","expression":"↹⩛12053≌↹⩛13213⇤(⩰↹⩛31304)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2182,"operation_count":3,"complexity_ratio":727.3333333333334,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1761,"base":6},"right_expr":{"type":"numeric_atoms","value":2025,"base":6}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":4216,"base":6}}},"used_operators":["YSKBFp38Pu","lyWz822IDG","WkeUrDK8WX"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1761","layer":2},{"info":"number node, value=2025","layer":2},{"info":"compute binary expreesion, left_input=1761, right_input=2025, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":1},{"info":"number node, value=4216","layer":2},{"info":"compute unary expreesion, input=4216, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-5216","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-5216, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛12053≌↹⩛13213⇤(⩰↹⩛31304)=NaN","reverse_text":"NaN=↹⩛12053≌↹⩛13213⇤(⩰↹⩛31304)","cot":[{"info":"↹⩛12053≌↹⩛13213=NaN","layer":1},{"info":"⩰↹⩛31304=↹⩛-40052","layer":1},{"info":"NaN⇤↹⩛-40052=NaN","layer":0}]}
{"id":219,"expression_no_base_symbol":"$3817$⩚⊴⇥$1200$⨎$5506$⊹∫⫚$2578$","expression":"↹⩛25401⩚⊴⇥↹⩛5320⨎↹⩛41254⊹∫⫚↹⩛15534","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":38,"operation_count":3,"complexity_ratio":12.666666666666666,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3817,"base":6},"right_expr":{"type":"numeric_atoms","value":1200,"base":6}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":5506,"base":6},"right_expr":{"type":"numeric_atoms","value":2578,"base":6}}},"used_operators":["rJVOvQCfKK","NTOWxs364D","uWAJUKEvyW"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"↹⩛-1432","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3817","layer":2},{"info":"number node, value=1200","layer":2},{"info":"compute binary expreesion, left_input=3817, right_input=1200, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5138","layer":1},{"info":"number node, value=5506","layer":2},{"info":"number node, value=2578","layer":2},{"info":"compute binary expreesion, left_input=5506, right_input=2578, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-380","layer":1},{"info":"compute binary expreesion, left_input=-5138, right_input=-380, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-380","layer":0}],"base":6,"result_base":6,"text":"↹⩛25401⩚⊴⇥↹⩛5320⨎↹⩛41254⊹∫⫚↹⩛15534=↹⩛-1432","reverse_text":"↹⩛-1432=↹⩛25401⩚⊴⇥↹⩛5320⨎↹⩛41254⊹∫⫚↹⩛15534","cot":[{"info":"↹⩛25401⩚⊴⇥↹⩛5320=↹⩛-35442","layer":1},{"info":"↹⩛41254⊹∫⫚↹⩛15534=↹⩛-1432","layer":1},{"info":"↹⩛-35442⨎↹⩛-1432=↹⩛-1432","layer":0}]}
{"id":220,"expression_no_base_symbol":"(⇋⊎⋝$3272$)∣($1967$≥⨤⩑$2670$)","expression":"(⇋⊎⋝↹⩛23052)∣(↹⩛13035≥⨤⩑↹⩛20210)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3282,"operation_count":3,"complexity_ratio":1094.0,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":3272,"base":6}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1967,"base":6},"right_expr":{"type":"numeric_atoms","value":2670,"base":6}}},"used_operators":["PPChnnnBFF","CzM2PEoXns","gJLn6v0xnP"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","dWAJyo7jo9","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3272","layer":2},{"info":"compute unary expreesion, input=3272, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":1},{"info":"number node, value=1967","layer":2},{"info":"number node, value=2670","layer":2},{"info":"compute binary expreesion, left_input=1967, right_input=2670, 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 = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⇋⊎⋝↹⩛23052)∣(↹⩛13035≥⨤⩑↹⩛20210)=NaN","reverse_text":"NaN=(⇋⊎⋝↹⩛23052)∣(↹⩛13035≥⨤⩑↹⩛20210)","cot":[{"info":"⇋⊎⋝↹⩛23052=NaN","layer":1},{"info":"↹⩛13035≥⨤⩑↹⩛20210=↹⩛5414","layer":1},{"info":"NaN∣↹⩛5414=NaN","layer":0}]}
{"id":221,"expression_no_base_symbol":"($8253$≠≀$4821$)⇔⨋","expression":"(↹⩛102113≠≀↹⩛34153)⇔⨋","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":30,"operation_count":2,"complexity_ratio":15.0,"tree":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":8253,"base":6},"right_expr":{"type":"numeric_atoms","value":4821,"base":6}}},"used_operators":["uBihLCJcMX","IwW236VD4Y"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"↹⩛1155","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8253","layer":2},{"info":"number node, value=4821","layer":2},{"info":"compute binary expreesion, left_input=8253, right_input=4821, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-16200","layer":1},{"info":"compute unary expreesion, input=-16200, 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":6,"result_base":6,"text":"(↹⩛102113≠≀↹⩛34153)⇔⨋=↹⩛1155","reverse_text":"↹⩛1155=(↹⩛102113≠≀↹⩛34153)⇔⨋","cot":[{"info":"↹⩛102113≠≀↹⩛34153=↹⩛-203000","layer":1},{"info":"↹⩛-203000⇔⨋=↹⩛1155","layer":0}]}
{"id":222,"expression_no_base_symbol":"($1015$⊨$2074$)⊴($1137$⊴⇁⪶)","expression":"(↹⩛4411⊨↹⩛13334)⊴(↹⩛5133⊴⇁⪶)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":18644,"operation_count":3,"complexity_ratio":6214.666666666667,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1015,"base":6},"right_expr":{"type":"numeric_atoms","value":2074,"base":6}},"right_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":1137,"base":6}}},"used_operators":["Nsiff2A1zJ","vg4gO5BX6G","oo9mF6JIpo"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1015","layer":2},{"info":"number node, value=2074","layer":2},{"info":"compute binary expreesion, left_input=1015, right_input=2074, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=5091","layer":1},{"info":"number node, value=1137","layer":2},{"info":"compute unary expreesion, input=1137, 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=17336","layer":1},{"info":"compute binary expreesion, left_input=5091, right_input=17336, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛4411⊨↹⩛13334)⊴(↹⩛5133⊴⇁⪶)=NaN","reverse_text":"NaN=(↹⩛4411⊨↹⩛13334)⊴(↹⩛5133⊴⇁⪶)","cot":[{"info":"↹⩛4411⊨↹⩛13334=↹⩛35323","layer":1},{"info":"↹⩛5133⊴⇁⪶=↹⩛212132","layer":1},{"info":"↹⩛35323⊴↹⩛212132=NaN","layer":0}]}
{"id":223,"expression_no_base_symbol":"⇠(∥⊫$3231$)","expression":"⇠(∥⊫↹⩛22543)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":13,"operation_count":2,"complexity_ratio":6.5,"tree":{"type":"unary","operator":"⇠","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3231,"base":6}}},"used_operators":["18saOjeKKm","P8v4zCKN1o"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛-25505","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3231","layer":2},{"info":"compute unary expreesion, input=3231, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4099","layer":1},{"info":"compute unary expreesion, input=4099, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-3857","layer":0}],"base":6,"result_base":6,"text":"⇠(∥⊫↹⩛22543)=↹⩛-25505","reverse_text":"↹⩛-25505=⇠(∥⊫↹⩛22543)","cot":[{"info":"∥⊫↹⩛22543=↹⩛30551","layer":1},{"info":"⇠↹⩛30551=↹⩛-25505","layer":0}]}
{"id":224,"expression_no_base_symbol":"($3467$⨽$1006$)⇣⩺⋵($1077$⨽$2715$)","expression":"(↹⩛24015⨽↹⩛4354)⇣⩺⋵(↹⩛4553⨽↹⩛20323)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4601,"operation_count":3,"complexity_ratio":1533.6666666666667,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3467,"base":6},"right_expr":{"type":"numeric_atoms","value":1006,"base":6}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1077,"base":6},"right_expr":{"type":"numeric_atoms","value":2715,"base":6}}},"used_operators":["F4yD0voBRQ","8HhzD0ZcuI"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"↹⩛-21342134254","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3467","layer":2},{"info":"number node, value=1006","layer":2},{"info":"compute binary expreesion, left_input=3467, right_input=1006, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-36061971","layer":1},{"info":"number node, value=1077","layer":2},{"info":"number node, value=2715","layer":2},{"info":"compute binary expreesion, left_input=1077, right_input=2715, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3486618","layer":1},{"info":"compute binary expreesion, left_input=-36061971, right_input=-3486618, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-137274586","layer":0}],"base":6,"result_base":6,"text":"(↹⩛24015⨽↹⩛4354)⇣⩺⋵(↹⩛4553⨽↹⩛20323)=↹⩛-21342134254","reverse_text":"↹⩛-21342134254=(↹⩛24015⨽↹⩛4354)⇣⩺⋵(↹⩛4553⨽↹⩛20323)","cot":[{"info":"↹⩛24015⨽↹⩛4354=↹⩛-3324533323","layer":1},{"info":"↹⩛4553⨽↹⩛20323=↹⩛-202421430","layer":1},{"info":"↹⩛-3324533323⇣⩺⋵↹⩛-202421430=↹⩛-21342134254","layer":0}]}
{"id":225,"expression_no_base_symbol":"⪭⩑⪱(⊄⩳↩$3840$)","expression":"⪭⩑⪱(⊄⩳↩↹⩛25440)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":37773,"operation_count":2,"complexity_ratio":18886.5,"tree":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3840,"base":6}}},"used_operators":["SIgE0bArFf","8w2t5hMYqp"],"dependent_operators":["FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛454202000","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3840","layer":2},{"info":"compute unary expreesion, input=3840, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-11520","layer":1},{"info":"compute unary expreesion, input=-11520, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":0}],"base":6,"result_base":6,"text":"⪭⩑⪱(⊄⩳↩↹⩛25440)=↹⩛454202000","reverse_text":"↹⩛454202000=⪭⩑⪱(⊄⩳↩↹⩛25440)","cot":[{"info":"⊄⩳↩↹⩛25440=↹⩛-125200","layer":1},{"info":"⪭⩑⪱↹⩛-125200=↹⩛454202000","layer":0}]}
{"id":226,"expression_no_base_symbol":"$7738$⋹⋡⊁$5332$⊢(↪⫪⫘$8767$)","expression":"↹⩛55454⋹⋡⊁↹⩛40404⊢(↪⫪⫘↹⩛104331)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":62935,"operation_count":3,"complexity_ratio":20978.333333333332,"tree":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":7738,"base":6},"right_expr":{"type":"numeric_atoms","value":5332,"base":6}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":8767,"base":6}}},"used_operators":["5twsqlHp2o","As8RqfVLgs","9dWsAM3GFt"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z"],"result":"↹⩛-133240","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7738","layer":2},{"info":"number node, value=5332","layer":2},{"info":"compute binary expreesion, left_input=7738, right_input=5332, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=6082","layer":1},{"info":"number node, value=8767","layer":2},{"info":"compute unary expreesion, input=8767, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":1},{"info":"compute binary expreesion, left_input=6082, right_input=20, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-12408","layer":0}],"base":6,"result_base":6,"text":"↹⩛55454⋹⋡⊁↹⩛40404⊢(↪⫪⫘↹⩛104331)=↹⩛-133240","reverse_text":"↹⩛-133240=↹⩛55454⋹⋡⊁↹⩛40404⊢(↪⫪⫘↹⩛104331)","cot":[{"info":"↹⩛55454⋹⋡⊁↹⩛40404=↹⩛44054","layer":1},{"info":"↪⫪⫘↹⩛104331=↹⩛32","layer":1},{"info":"↹⩛44054⊢↹⩛32=↹⩛-133240","layer":0}]}
{"id":227,"expression_no_base_symbol":"⇠(∑⇻≧$6979$)","expression":"⇠(∑⇻≧↹⩛52151)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12,"operation_count":2,"complexity_ratio":6.0,"tree":{"type":"unary","operator":"⇠","unary_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":6979,"base":6}}},"used_operators":["18saOjeKKm","l1M9WJ3V7u"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=6979","layer":2},{"info":"compute unary expreesion, input=6979, 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 = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=0","layer":0}],"base":6,"result_base":6,"text":"⇠(∑⇻≧↹⩛52151)=↹⩛0","reverse_text":"↹⩛0=⇠(∑⇻≧↹⩛52151)","cot":[{"info":"∑⇻≧↹⩛52151=↹⩛-3540","layer":1},{"info":"⇠↹⩛-3540=↹⩛0","layer":0}]}
{"id":228,"expression_no_base_symbol":"($8257$-$1749$)⨝⩣∺","expression":"(↹⩛102121-↹⩛12033)⨝⩣∺","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":8257,"base":6},"right_expr":{"type":"numeric_atoms","value":1749,"base":6}}},"used_operators":["ancx8kZcWl","rysDP5nf3Z"],"dependent_operators":["DZ8iAZOCBD","t8gj7n24qd"],"result":"↹⩛-140132","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8257","layer":2},{"info":"number node, value=1749","layer":2},{"info":"compute binary expreesion, left_input=8257, right_input=1749, op_id = rysDP5nf3Z binary_op_definition= 'None', output=6508","layer":1},{"info":"compute unary expreesion, input=6508, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-13016","layer":0}],"base":6,"result_base":6,"text":"(↹⩛102121-↹⩛12033)⨝⩣∺=↹⩛-140132","reverse_text":"↹⩛-140132=(↹⩛102121-↹⩛12033)⨝⩣∺","cot":[{"info":"↹⩛102121-↹⩛12033=↹⩛50044","layer":1},{"info":"↹⩛50044⨝⩣∺=↹⩛-140132","layer":0}]}
{"id":229,"expression_no_base_symbol":"($2259$⇼⇔∾$2087$)⫻⋑⊟","expression":"(↹⩛14243⇼⇔∾↹⩛13355)⫻⋑⊟","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":21,"operation_count":2,"complexity_ratio":10.5,"tree":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2259,"base":6},"right_expr":{"type":"numeric_atoms","value":2087,"base":6}}},"used_operators":["o575Zjdmzy","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛11050","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2259","layer":2},{"info":"number node, value=2087","layer":2},{"info":"compute binary expreesion, left_input=2259, right_input=2087, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-172","layer":1},{"info":"compute unary expreesion, input=-172, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=1542","layer":0}],"base":6,"result_base":6,"text":"(↹⩛14243⇼⇔∾↹⩛13355)⫻⋑⊟=↹⩛11050","reverse_text":"↹⩛11050=(↹⩛14243⇼⇔∾↹⩛13355)⫻⋑⊟","cot":[{"info":"↹⩛14243⇼⇔∾↹⩛13355=↹⩛-444","layer":1},{"info":"↹⩛-444⫻⋑⊟=↹⩛11050","layer":0}]}
{"id":230,"expression_no_base_symbol":"$2719$⫯⪬∳$1262$⫘$1488$↓$5803$","expression":"↹⩛20331⫯⪬∳↹⩛5502⫘↹⩛10520↓↹⩛42511","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":94134,"operation_count":3,"complexity_ratio":31378.0,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2719,"base":6},"right_expr":{"type":"numeric_atoms","value":1262,"base":6}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1488,"base":6},"right_expr":{"type":"numeric_atoms","value":5803,"base":6}}},"used_operators":["48vC8HMD2b","d7ASUq0ydm","Af076pWI7l"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"↹⩛1235442221","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2719","layer":2},{"info":"number node, value=1262","layer":2},{"info":"compute binary expreesion, left_input=2719, right_input=1262, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=12366","layer":1},{"info":"number node, value=1488","layer":2},{"info":"number node, value=5803","layer":2},{"info":"compute binary expreesion, left_input=1488, right_input=5803, 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=12366, right_input=-134, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=14546821","layer":0}],"base":6,"result_base":6,"text":"↹⩛20331⫯⪬∳↹⩛5502⫘↹⩛10520↓↹⩛42511=↹⩛1235442221","reverse_text":"↹⩛1235442221=↹⩛20331⫯⪬∳↹⩛5502⫘↹⩛10520↓↹⩛42511","cot":[{"info":"↹⩛20331⫯⪬∳↹⩛5502=↹⩛133130","layer":1},{"info":"↹⩛10520↓↹⩛42511=↹⩛-342","layer":1},{"info":"↹⩛133130⫘↹⩛-342=↹⩛1235442221","layer":0}]}
{"id":231,"expression_no_base_symbol":"$8055$⩍⋽⫝̸$1196$⊘","expression":"↹⩛101143⩍⋽⫝̸↹⩛5312⊘","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":23,"operation_count":2,"complexity_ratio":11.5,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":8055,"base":6},"right_expr":{"type":"numeric_atoms","value":1196,"base":6}}},"used_operators":["gu96TGCTMs","BiWNJpBvwn"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","Ph9nP6C5qx","xUOZtlo3hN"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=8055","layer":2},{"info":"number node, value=1196","layer":2},{"info":"compute binary expreesion, left_input=8055, right_input=1196, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=250","layer":1},{"info":"compute unary expreesion, input=250, 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":6,"result_base":6,"text":"↹⩛101143⩍⋽⫝̸↹⩛5312⊘=↹⩛0","reverse_text":"↹⩛0=↹⩛101143⩍⋽⫝̸↹⩛5312⊘","cot":[{"info":"↹⩛101143⩍⋽⫝̸↹⩛5312=↹⩛1054","layer":1},{"info":"↹⩛1054⊘=↹⩛0","layer":0}]}
{"id":232,"expression_no_base_symbol":"($4911$⋷$8082$)⋆⋳","expression":"(↹⩛34423⋷↹⩛101230)⋆⋳","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14,"operation_count":2,"complexity_ratio":7.0,"tree":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4911,"base":6},"right_expr":{"type":"numeric_atoms","value":8082,"base":6}}},"used_operators":["6MpZysEj17","23Mk6UjR3U"],"dependent_operators":["9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛-252202","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4911","layer":2},{"info":"number node, value=8082","layer":2},{"info":"compute binary expreesion, left_input=4911, right_input=8082, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=11253","layer":1},{"info":"compute unary expreesion, input=11253, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-22538","layer":0}],"base":6,"result_base":6,"text":"(↹⩛34423⋷↹⩛101230)⋆⋳=↹⩛-252202","reverse_text":"↹⩛-252202=(↹⩛34423⋷↹⩛101230)⋆⋳","cot":[{"info":"↹⩛34423⋷↹⩛101230=↹⩛124033","layer":1},{"info":"↹⩛124033⋆⋳=↹⩛-252202","layer":0}]}
{"id":233,"expression_no_base_symbol":"(⋗⩬⋾$1619$)⩠","expression":"(⋗⩬⋾↹⩛11255)⩠","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":20,"operation_count":2,"complexity_ratio":10.0,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1619,"base":6}}},"used_operators":["sJAwomhLZr","DpFCA1CohY"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛230525","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1619","layer":2},{"info":"compute unary expreesion, input=1619, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4857","layer":1},{"info":"compute unary expreesion, input=-4857, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=19637","layer":0}],"base":6,"result_base":6,"text":"(⋗⩬⋾↹⩛11255)⩠=↹⩛230525","reverse_text":"↹⩛230525=(⋗⩬⋾↹⩛11255)⩠","cot":[{"info":"⋗⩬⋾↹⩛11255=↹⩛-34253","layer":1},{"info":"↹⩛-34253⩠=↹⩛230525","layer":0}]}
{"id":234,"expression_no_base_symbol":"$2268$↞⋁$4259$∙∹∝($1481$⪊≅)","expression":"↹⩛14300↞⋁↹⩛31415∙∹∝(↹⩛10505⪊≅)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":184,"operation_count":3,"complexity_ratio":61.333333333333336,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2268,"base":6},"right_expr":{"type":"numeric_atoms","value":4259,"base":6}},"right_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":1481,"base":6}}},"used_operators":["HmxsFra2vL","RqrPlJkxDo","bjFbhXSADs"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2268","layer":2},{"info":"number node, value=4259","layer":2},{"info":"compute binary expreesion, left_input=2268, right_input=4259, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"number node, value=1481","layer":2},{"info":"compute unary expreesion, input=1481, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛14300↞⋁↹⩛31415∙∹∝(↹⩛10505⪊≅)=NaN","reverse_text":"NaN=↹⩛14300↞⋁↹⩛31415∙∹∝(↹⩛10505⪊≅)","cot":[{"info":"↹⩛14300↞⋁↹⩛31415=NaN","layer":1},{"info":"↹⩛10505⪊≅=↹⩛0","layer":1},{"info":"NaN∙∹∝↹⩛0=NaN","layer":0}]}
{"id":235,"expression_no_base_symbol":"$1000$⫁⪎$2959$⨸⪁$2604$↢$5144$","expression":"↹⩛4344⫁⪎↹⩛21411⨸⪁↹⩛20020↢↹⩛35452","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":24,"operation_count":3,"complexity_ratio":8.0,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1000,"base":6},"right_expr":{"type":"numeric_atoms","value":2959,"base":6}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":2604,"base":6},"right_expr":{"type":"numeric_atoms","value":5144,"base":6}}},"used_operators":["g55IO6H4Gj","xRrnTEsQ6j","WR6HLWljOP"],"dependent_operators":["W4YGzv6Whe","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"↹⩛1254","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1000","layer":2},{"info":"number node, value=2959","layer":2},{"info":"compute binary expreesion, left_input=1000, right_input=2959, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-1959","layer":1},{"info":"number node, value=2604","layer":2},{"info":"number node, value=5144","layer":2},{"info":"compute binary expreesion, left_input=2604, right_input=5144, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2120","layer":1},{"info":"compute binary expreesion, left_input=-1959, right_input=2120, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=322","layer":0}],"base":6,"result_base":6,"text":"↹⩛4344⫁⪎↹⩛21411⨸⪁↹⩛20020↢↹⩛35452=↹⩛1254","reverse_text":"↹⩛1254=↹⩛4344⫁⪎↹⩛21411⨸⪁↹⩛20020↢↹⩛35452","cot":[{"info":"↹⩛4344⫁⪎↹⩛21411=↹⩛-13023","layer":1},{"info":"↹⩛20020↢↹⩛35452=↹⩛13452","layer":1},{"info":"↹⩛-13023⨸⪁↹⩛13452=↹⩛1254","layer":0}]}
{"id":236,"expression_no_base_symbol":"$1601$∝$6286$⩨$7368$⪨⊡$1424$","expression":"↹⩛11225∝↹⩛45034⩨↹⩛54040⪨⊡↹⩛10332","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25,"operation_count":3,"complexity_ratio":8.333333333333334,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1601,"base":6},"right_expr":{"type":"numeric_atoms","value":6286,"base":6}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":7368,"base":6},"right_expr":{"type":"numeric_atoms","value":1424,"base":6}}},"used_operators":["2DlMacCsIx","cTDWOvIxvz","kuIXHzHcAH"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","7j4O788W3g","W4YGzv6Whe","COABgblf1C","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1601","layer":2},{"info":"number node, value=6286","layer":2},{"info":"compute binary expreesion, left_input=1601, right_input=6286, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1606","layer":1},{"info":"number node, value=7368","layer":2},{"info":"number node, value=1424","layer":2},{"info":"compute binary expreesion, left_input=7368, right_input=1424, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1606, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"↹⩛11225∝↹⩛45034⩨↹⩛54040⪨⊡↹⩛10332=↹⩛0","reverse_text":"↹⩛0=↹⩛11225∝↹⩛45034⩨↹⩛54040⪨⊡↹⩛10332","cot":[{"info":"↹⩛11225∝↹⩛45034=↹⩛11234","layer":1},{"info":"↹⩛54040⪨⊡↹⩛10332=↹⩛0","layer":1},{"info":"↹⩛11234⩨↹⩛0=↹⩛0","layer":0}]}
{"id":237,"expression_no_base_symbol":"($5893$%$1653$)⪠⩆⊳","expression":"(↹⩛43141%↹⩛11353)⪠⩆⊳","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5893,"base":6},"right_expr":{"type":"numeric_atoms","value":1653,"base":6}}},"used_operators":["JLbD19bQDL","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5893","layer":2},{"info":"number node, value=1653","layer":2},{"info":"compute binary expreesion, left_input=5893, right_input=1653, op_id = k8jYdgA6NY binary_op_definition= 'None', output=934","layer":1},{"info":"compute unary expreesion, input=934, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"(↹⩛43141%↹⩛11353)⪠⩆⊳=↹⩛0","reverse_text":"↹⩛0=(↹⩛43141%↹⩛11353)⪠⩆⊳","cot":[{"info":"↹⩛43141%↹⩛11353=↹⩛4154","layer":1},{"info":"↹⩛4154⪠⩆⊳=↹⩛0","layer":0}]}
{"id":238,"expression_no_base_symbol":"$4923$∊∟⩊$1586$≄⊠($6711$⋻⩜⩜$3779$)","expression":"↹⩛34443∊∟⩊↹⩛11202≄⊠(↹⩛51023⋻⩜⩜↹⩛25255)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":52971,"operation_count":3,"complexity_ratio":17657.0,"tree":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":4923,"base":6},"right_expr":{"type":"numeric_atoms","value":1586,"base":6}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":6711,"base":6},"right_expr":{"type":"numeric_atoms","value":3779,"base":6}}},"used_operators":["vXNesLlMH1","ddLRYrp01A","oDCm7WA9JY"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"↹⩛4411500","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4923","layer":2},{"info":"number node, value=1586","layer":2},{"info":"compute binary expreesion, left_input=4923, right_input=1586, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1586","layer":1},{"info":"number node, value=6711","layer":2},{"info":"number node, value=3779","layer":2},{"info":"compute binary expreesion, left_input=6711, right_input=3779, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=13422","layer":1},{"info":"compute binary expreesion, left_input=1586, right_input=13422, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=219420","layer":0}],"base":6,"result_base":6,"text":"↹⩛34443∊∟⩊↹⩛11202≄⊠(↹⩛51023⋻⩜⩜↹⩛25255)=↹⩛4411500","reverse_text":"↹⩛4411500=↹⩛34443∊∟⩊↹⩛11202≄⊠(↹⩛51023⋻⩜⩜↹⩛25255)","cot":[{"info":"↹⩛34443∊∟⩊↹⩛11202=↹⩛11202","layer":1},{"info":"↹⩛51023⋻⩜⩜↹⩛25255=↹⩛142050","layer":1},{"info":"↹⩛11202≄⊠↹⩛142050=↹⩛4411500","layer":0}]}
{"id":239,"expression_no_base_symbol":"⩦⊞($2273$⫡⨏$4839$)","expression":"⩦⊞(↹⩛14305⫡⨏↹⩛34223)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":2,"complexity_ratio":5.5,"tree":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2273,"base":6},"right_expr":{"type":"numeric_atoms","value":4839,"base":6}}},"used_operators":["u7fv1HBiaC","QMFrweE19q"],"dependent_operators":["eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛-243441","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2273","layer":2},{"info":"number node, value=4839","layer":2},{"info":"compute binary expreesion, left_input=2273, right_input=4839, 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=21826","layer":1},{"info":"compute unary expreesion, input=21826, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-21553","layer":0}],"base":6,"result_base":6,"text":"⩦⊞(↹⩛14305⫡⨏↹⩛34223)=↹⩛-243441","reverse_text":"↹⩛-243441=⩦⊞(↹⩛14305⫡⨏↹⩛34223)","cot":[{"info":"↹⩛14305⫡⨏↹⩛34223=↹⩛245014","layer":1},{"info":"⩦⊞↹⩛245014=↹⩛-243441","layer":0}]}
{"id":240,"expression_no_base_symbol":"($1921$⋅⇍$5929$)∓⋝$4652$⫁$3800$","expression":"(↹⩛12521⋅⇍↹⩛43241)∓⋝↹⩛33312⫁↹⩛25332","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":121,"operation_count":3,"complexity_ratio":40.333333333333336,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1921,"base":6},"right_expr":{"type":"numeric_atoms","value":5929,"base":6}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":4652,"base":6},"right_expr":{"type":"numeric_atoms","value":3800,"base":6}}},"used_operators":["PoHhknlbAi","AdZkA7nFnk","0ajvFaJAv0"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","cHh1gJQ2o6","AHs5Up7iyr"],"result":"↹⩛-1251","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1921","layer":2},{"info":"number node, value=5929","layer":2},{"info":"compute binary expreesion, left_input=1921, right_input=5929, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"number node, value=4652","layer":2},{"info":"number node, value=3800","layer":2},{"info":"compute binary expreesion, left_input=4652, right_input=3800, 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=-22, right_input=160, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=-319","layer":0}],"base":6,"result_base":6,"text":"(↹⩛12521⋅⇍↹⩛43241)∓⋝↹⩛33312⫁↹⩛25332=↹⩛-1251","reverse_text":"↹⩛-1251=(↹⩛12521⋅⇍↹⩛43241)∓⋝↹⩛33312⫁↹⩛25332","cot":[{"info":"↹⩛12521⋅⇍↹⩛43241=↹⩛-34","layer":1},{"info":"↹⩛33312⫁↹⩛25332=↹⩛424","layer":1},{"info":"↹⩛-34∓⋝↹⩛424=↹⩛-1251","layer":0}]}
{"id":241,"expression_no_base_symbol":"$2483$⪮%⊝$1084$⊦⊿","expression":"↹⩛15255⪮%⊝↹⩛5004⊦⊿","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15,"operation_count":2,"complexity_ratio":7.5,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2483,"base":6},"right_expr":{"type":"numeric_atoms","value":1084,"base":6}}},"used_operators":["14qkJME0vr","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"↹⩛-201421","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2483","layer":2},{"info":"number node, value=1084","layer":2},{"info":"compute binary expreesion, left_input=2483, right_input=1084, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5282","layer":1},{"info":"compute unary expreesion, input=5282, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-15925","layer":0}],"base":6,"result_base":6,"text":"↹⩛15255⪮%⊝↹⩛5004⊦⊿=↹⩛-201421","reverse_text":"↹⩛-201421=↹⩛15255⪮%⊝↹⩛5004⊦⊿","cot":[{"info":"↹⩛15255⪮%⊝↹⩛5004=↹⩛40242","layer":1},{"info":"↹⩛40242⊦⊿=↹⩛-201421","layer":0}]}
{"id":242,"expression_no_base_symbol":"$2477$≠≀$1183$⪠⩆⊳","expression":"↹⩛15245≠≀↹⩛5251⪠⩆⊳","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19,"operation_count":2,"complexity_ratio":9.5,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2477,"base":6},"right_expr":{"type":"numeric_atoms","value":1183,"base":6}}},"used_operators":["JLbD19bQDL","IwW236VD4Y"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2477","layer":2},{"info":"number node, value=1183","layer":2},{"info":"compute binary expreesion, left_input=2477, right_input=1183, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-4648","layer":1},{"info":"compute unary expreesion, input=-4648, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"↹⩛15245≠≀↹⩛5251⪠⩆⊳=↹⩛0","reverse_text":"↹⩛0=↹⩛15245≠≀↹⩛5251⪠⩆⊳","cot":[{"info":"↹⩛15245≠≀↹⩛5251=↹⩛-33304","layer":1},{"info":"↹⩛-33304⪠⩆⊳=↹⩛0","layer":0}]}
{"id":243,"expression_no_base_symbol":"($2105$⨪↰⇹$1639$)∓⋝($3660$⋝⋈⪟$4885$)","expression":"(↹⩛13425⨪↰⇹↹⩛11331)∓⋝(↹⩛24540⋝⋈⪟↹⩛34341)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2145,"operation_count":3,"complexity_ratio":715.0,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2105,"base":6},"right_expr":{"type":"numeric_atoms","value":1639,"base":6}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3660,"base":6},"right_expr":{"type":"numeric_atoms","value":4885,"base":6}}},"used_operators":["PoHhknlbAi","tmPS8pqC7x","2DDjHMKMc0"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2105","layer":2},{"info":"number node, value=1639","layer":2},{"info":"compute binary expreesion, left_input=2105, right_input=1639, 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=2105","layer":1},{"info":"number node, value=3660","layer":2},{"info":"number node, value=4885","layer":2},{"info":"compute binary expreesion, left_input=3660, right_input=4885, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3660","layer":1},{"info":"compute binary expreesion, left_input=2105, right_input=3660, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":0}],"base":6,"result_base":6,"text":"(↹⩛13425⨪↰⇹↹⩛11331)∓⋝(↹⩛24540⋝⋈⪟↹⩛34341)=↹⩛151","reverse_text":"↹⩛151=(↹⩛13425⨪↰⇹↹⩛11331)∓⋝(↹⩛24540⋝⋈⪟↹⩛34341)","cot":[{"info":"↹⩛13425⨪↰⇹↹⩛11331=↹⩛13425","layer":1},{"info":"↹⩛24540⋝⋈⪟↹⩛34341=↹⩛24540","layer":1},{"info":"↹⩛13425∓⋝↹⩛24540=↹⩛151","layer":0}]}
{"id":244,"expression_no_base_symbol":"($2119$⪭≯$1331$)⇞","expression":"(↹⩛13451⪭≯↹⩛10055)⇞","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":198,"operation_count":2,"complexity_ratio":99.0,"tree":{"type":"unary","operator":"⇞","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":2119,"base":6},"right_expr":{"type":"numeric_atoms","value":1331,"base":6}}},"used_operators":["5JYyxRJd4f","XAx5wpdLa6"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2119","layer":2},{"info":"number node, value=1331","layer":2},{"info":"compute binary expreesion, left_input=2119, right_input=1331, 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 = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛13451⪭≯↹⩛10055)⇞=NaN","reverse_text":"NaN=(↹⩛13451⪭≯↹⩛10055)⇞","cot":[{"info":"↹⩛13451⪭≯↹⩛10055=NaN","layer":1},{"info":"NaN⇞=NaN","layer":0}]}
{"id":245,"expression_no_base_symbol":"$5048$∛$1500$⫦⪉$1587$≁$2383$","expression":"↹⩛35212∛↹⩛10540⫦⪉↹⩛11203≁↹⩛15011","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":161,"operation_count":3,"complexity_ratio":53.666666666666664,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":5048,"base":6},"right_expr":{"type":"numeric_atoms","value":1500,"base":6}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1587,"base":6},"right_expr":{"type":"numeric_atoms","value":2383,"base":6}}},"used_operators":["wscyQdcy20","w2537kitQq","8N2wDY1A35"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"↹⩛34022","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5048","layer":2},{"info":"number node, value=1500","layer":2},{"info":"compute binary expreesion, left_input=5048, right_input=1500, 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=1587","layer":2},{"info":"number node, value=2383","layer":2},{"info":"compute binary expreesion, left_input=1587, right_input=2383, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=43991","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=43991, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4766","layer":0}],"base":6,"result_base":6,"text":"↹⩛35212∛↹⩛10540⫦⪉↹⩛11203≁↹⩛15011=↹⩛34022","reverse_text":"↹⩛34022=↹⩛35212∛↹⩛10540⫦⪉↹⩛11203≁↹⩛15011","cot":[{"info":"↹⩛35212∛↹⩛10540=↹⩛151","layer":1},{"info":"↹⩛11203≁↹⩛15011=↹⩛535355","layer":1},{"info":"↹⩛151⫦⪉↹⩛535355=↹⩛34022","layer":0}]}
{"id":246,"expression_no_base_symbol":"(∐⩳⋚$1296$)⋣⋖($6906$≄⊠$5414$)","expression":"(∐⩳⋚↹⩛10000)⋣⋖(↹⩛51550≄⊠↹⩛41022)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":230,"operation_count":3,"complexity_ratio":76.66666666666667,"tree":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1296,"base":6}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":6906,"base":6},"right_expr":{"type":"numeric_atoms","value":5414,"base":6}}},"used_operators":["J0M6qkBnIM","SL6IHkK8vl","vXNesLlMH1"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"↹⩛3444521","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1296","layer":2},{"info":"compute unary expreesion, input=1296, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=177313","layer":1},{"info":"number node, value=6906","layer":2},{"info":"number node, value=5414","layer":2},{"info":"compute binary expreesion, left_input=6906, right_input=5414, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=91292","layer":1},{"info":"compute binary expreesion, left_input=177313, right_input=91292, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=177313","layer":0}],"base":6,"result_base":6,"text":"(∐⩳⋚↹⩛10000)⋣⋖(↹⩛51550≄⊠↹⩛41022)=↹⩛3444521","reverse_text":"↹⩛3444521=(∐⩳⋚↹⩛10000)⋣⋖(↹⩛51550≄⊠↹⩛41022)","cot":[{"info":"∐⩳⋚↹⩛10000=↹⩛3444521","layer":1},{"info":"↹⩛51550≄⊠↹⩛41022=↹⩛1542352","layer":1},{"info":"↹⩛3444521⋣⋖↹⩛1542352=↹⩛3444521","layer":0}]}
{"id":247,"expression_no_base_symbol":"($4149$↫)⊓⋫","expression":"(↹⩛31113↫)⊓⋫","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":25,"operation_count":2,"complexity_ratio":12.5,"tree":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":4149,"base":6}}},"used_operators":["IqGBaFP0uj","uPb5QRN0te"],"dependent_operators":["2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd"],"result":"↹⩛-1200","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4149","layer":2},{"info":"compute unary expreesion, input=4149, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-288","layer":0}],"base":6,"result_base":6,"text":"(↹⩛31113↫)⊓⋫=↹⩛-1200","reverse_text":"↹⩛-1200=(↹⩛31113↫)⊓⋫","cot":[{"info":"↹⩛31113↫=↹⩛424","layer":1},{"info":"↹⩛424⊓⋫=↹⩛-1200","layer":0}]}
{"id":248,"expression_no_base_symbol":"$5466$⇻⋧≁$6174$≚⊃≕$7423$⊕∕$7262$","expression":"↹⩛41150⇻⋧≁↹⩛44330≚⊃≕↹⩛54211⊕∕↹⩛53342","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5515,"operation_count":3,"complexity_ratio":1838.3333333333333,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":5466,"base":6},"right_expr":{"type":"numeric_atoms","value":6174,"base":6}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":7423,"base":6},"right_expr":{"type":"numeric_atoms","value":7262,"base":6}}},"used_operators":["Bmrmz2XGnR","jCPkEVoL5K","9cloC0Ngie"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"↹⩛-323231","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5466","layer":2},{"info":"number node, value=6174","layer":2},{"info":"compute binary expreesion, left_input=5466, right_input=6174, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":1},{"info":"number node, value=7423","layer":2},{"info":"number node, value=7262","layer":2},{"info":"compute binary expreesion, left_input=7423, right_input=7262, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=7423","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=7423, 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=-26659","layer":0}],"base":6,"result_base":6,"text":"↹⩛41150⇻⋧≁↹⩛44330≚⊃≕↹⩛54211⊕∕↹⩛53342=↹⩛-323231","reverse_text":"↹⩛-323231=↹⩛41150⇻⋧≁↹⩛44330≚⊃≕↹⩛54211⊕∕↹⩛53342","cot":[{"info":"↹⩛41150⇻⋧≁↹⩛44330=↹⩛-2023","layer":1},{"info":"↹⩛54211⊕∕↹⩛53342=↹⩛54211","layer":1},{"info":"↹⩛-2023≚⊃≕↹⩛54211=↹⩛-323231","layer":0}]}
{"id":249,"expression_no_base_symbol":"(⨭⩧⫛$2511$)≎⊠⪸$1876$⨂≜$6010$","expression":"(⨭⩧⫛↹⩛15343)≎⊠⪸↹⩛12404⨂≜↹⩛43454","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1973,"operation_count":3,"complexity_ratio":657.6666666666666,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":2511,"base":6}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1876,"base":6},"right_expr":{"type":"numeric_atoms","value":6010,"base":6}}},"used_operators":["bJkvcejdHO","g21JL6JxX7","k1SHOSEABc"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2511","layer":2},{"info":"compute unary expreesion, input=2511, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":1},{"info":"number node, value=1876","layer":2},{"info":"number node, value=6010","layer":2},{"info":"compute binary expreesion, left_input=1876, right_input=6010, 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":6,"result_base":6,"text":"(⨭⩧⫛↹⩛15343)≎⊠⪸↹⩛12404⨂≜↹⩛43454=↹⩛151","reverse_text":"↹⩛151=(⨭⩧⫛↹⩛15343)≎⊠⪸↹⩛12404⨂≜↹⩛43454","cot":[{"info":"⨭⩧⫛↹⩛15343=NaN","layer":1},{"info":"↹⩛12404⨂≜↹⩛43454=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=↹⩛151","layer":0}]}
{"id":250,"expression_no_base_symbol":"≇⪴$2727$≴⪞⇿$2420$","expression":"≇⪴↹⩛20343≴⪞⇿↹⩛15112","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2496,"operation_count":2,"complexity_ratio":1248.0,"tree":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":2727,"base":6},"right_expr":{"type":"numeric_atoms","value":2420,"base":6}}},"used_operators":["zoVPnxeHJ3","lvlrscuwVU"],"dependent_operators":["7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"↹⩛-3330234014","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2727","layer":2},{"info":"number node, value=2420","layer":2},{"info":"compute binary expreesion, left_input=2727, right_input=2420, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=12044466","layer":1},{"info":"compute unary expreesion, input=12044466, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-36132058","layer":0}],"base":6,"result_base":6,"text":"≇⪴↹⩛20343≴⪞⇿↹⩛15112=↹⩛-3330234014","reverse_text":"↹⩛-3330234014=≇⪴↹⩛20343≴⪞⇿↹⩛15112","cot":[{"info":"↹⩛20343≴⪞⇿↹⩛15112=↹⩛1110053230","layer":1},{"info":"≇⪴↹⩛1110053230=↹⩛-3330234014","layer":0}]}
{"id":251,"expression_no_base_symbol":"($2949$⨝⩣∺)↳≱(⩦⩻⨪$3161$)","expression":"(↹⩛21353⨝⩣∺)↳≱(⩦⩻⨪↹⩛22345)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":91,"operation_count":3,"complexity_ratio":30.333333333333332,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":2949,"base":6}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3161,"base":6}}},"used_operators":["JwTKLfZU96","ancx8kZcWl","2td37pGCOC"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","DZ8iAZOCBD","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2949","layer":2},{"info":"compute unary expreesion, input=2949, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-5898","layer":1},{"info":"number node, value=3161","layer":2},{"info":"compute unary expreesion, input=3161, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3161","layer":1},{"info":"compute binary expreesion, left_input=-5898, right_input=3161, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":6,"result_base":6,"text":"(↹⩛21353⨝⩣∺)↳≱(⩦⩻⨪↹⩛22345)=↹⩛0","reverse_text":"↹⩛0=(↹⩛21353⨝⩣∺)↳≱(⩦⩻⨪↹⩛22345)","cot":[{"info":"↹⩛21353⨝⩣∺=↹⩛-43150","layer":1},{"info":"⩦⩻⨪↹⩛22345=↹⩛22345","layer":1},{"info":"↹⩛-43150↳≱↹⩛22345=↹⩛0","layer":0}]}
{"id":252,"expression_no_base_symbol":"(⊄⩳↩$1118$)⫿","expression":"(⊄⩳↩↹⩛5102)⫿","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"⫿","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1118,"base":6}}},"used_operators":["9tKT6PmtkH","8w2t5hMYqp"],"dependent_operators":["DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛51020","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1118","layer":2},{"info":"compute unary expreesion, input=1118, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3354","layer":1},{"info":"compute unary expreesion, input=-3354, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=6708","layer":0}],"base":6,"result_base":6,"text":"(⊄⩳↩↹⩛5102)⫿=↹⩛51020","reverse_text":"↹⩛51020=(⊄⩳↩↹⩛5102)⫿","cot":[{"info":"⊄⩳↩↹⩛5102=↹⩛-23310","layer":1},{"info":"↹⩛-23310⫿=↹⩛51020","layer":0}]}
{"id":253,"expression_no_base_symbol":"$1000$⨔≚≋$4459$↸$1411$⫸⇳$1730$","expression":"↹⩛4344⨔≚≋↹⩛32351↸↹⩛10311⫸⇳↹⩛12002","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":64,"operation_count":3,"complexity_ratio":21.333333333333332,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1000,"base":6},"right_expr":{"type":"numeric_atoms","value":4459,"base":6}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1411,"base":6},"right_expr":{"type":"numeric_atoms","value":1730,"base":6}}},"used_operators":["1eCjFl0mb9","Z57zeUYC9z","gx7XJ7hdpj"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"↹⩛113412","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1000","layer":2},{"info":"number node, value=4459","layer":2},{"info":"compute binary expreesion, left_input=1000, right_input=4459, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":1},{"info":"number node, value=1411","layer":2},{"info":"number node, value=1730","layer":2},{"info":"compute binary expreesion, left_input=1411, right_input=1730, 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=9872, right_input=0, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=9872","layer":0}],"base":6,"result_base":6,"text":"↹⩛4344⨔≚≋↹⩛32351↸↹⩛10311⫸⇳↹⩛12002=↹⩛113412","reverse_text":"↹⩛113412=↹⩛4344⨔≚≋↹⩛32351↸↹⩛10311⫸⇳↹⩛12002","cot":[{"info":"↹⩛4344⨔≚≋↹⩛32351=↹⩛113412","layer":1},{"info":"↹⩛10311⫸⇳↹⩛12002=↹⩛0","layer":1},{"info":"↹⩛113412↸↹⩛0=↹⩛113412","layer":0}]}
{"id":254,"expression_no_base_symbol":"(∑⇻≧$5278$)⪣⫩","expression":"(∑⇻≧↹⩛40234)⪣⫩","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":5278,"base":6}}},"used_operators":["iuk5sVOGFA","l1M9WJ3V7u"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN"],"result":"↹⩛4121","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5278","layer":2},{"info":"compute unary expreesion, input=5278, 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 = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":0}],"base":6,"result_base":6,"text":"(∑⇻≧↹⩛40234)⪣⫩=↹⩛4121","reverse_text":"↹⩛4121=(∑⇻≧↹⩛40234)⪣⫩","cot":[{"info":"∑⇻≧↹⩛40234=↹⩛-3540","layer":1},{"info":"↹⩛-3540⪣⫩=↹⩛4121","layer":0}]}
{"id":255,"expression_no_base_symbol":"(≋$1296$)∕⩚($1229$⨵⪆$2367$)","expression":"(≋↹⩛10000)∕⩚(↹⩛5405⨵⪆↹⩛14543)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":20,"operation_count":3,"complexity_ratio":6.666666666666667,"tree":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":1296,"base":6}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1229,"base":6},"right_expr":{"type":"numeric_atoms","value":2367,"base":6}}},"used_operators":["z9ffQ9n5Zr","61wBmkZwlr","2DQ55sFlQl"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","7j4O788W3g","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛-2131","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1296","layer":2},{"info":"compute unary expreesion, input=1296, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=1296","layer":1},{"info":"number node, value=1229","layer":2},{"info":"number node, value=2367","layer":2},{"info":"compute binary expreesion, left_input=1229, right_input=2367, 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=1296, right_input=160, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":0}],"base":6,"result_base":6,"text":"(≋↹⩛10000)∕⩚(↹⩛5405⨵⪆↹⩛14543)=↹⩛-2131","reverse_text":"↹⩛-2131=(≋↹⩛10000)∕⩚(↹⩛5405⨵⪆↹⩛14543)","cot":[{"info":"≋↹⩛10000=↹⩛10000","layer":1},{"info":"↹⩛5405⨵⪆↹⩛14543=↹⩛424","layer":1},{"info":"↹⩛10000∕⩚↹⩛424=↹⩛-2131","layer":0}]}
{"id":256,"expression_no_base_symbol":"∮$1190$∊∟⩊$3625$","expression":"∮↹⩛5302∊∟⩊↹⩛24441","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":309,"operation_count":2,"complexity_ratio":154.5,"tree":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1190,"base":6},"right_expr":{"type":"numeric_atoms","value":3625,"base":6}}},"used_operators":["CqXKPLVYql","ddLRYrp01A"],"dependent_operators":["2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1190","layer":2},{"info":"number node, value=3625","layer":2},{"info":"compute binary expreesion, left_input=1190, right_input=3625, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3625","layer":1},{"info":"compute unary expreesion, input=3625, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":0}],"base":6,"result_base":6,"text":"∮↹⩛5302∊∟⩊↹⩛24441=↹⩛151","reverse_text":"↹⩛151=∮↹⩛5302∊∟⩊↹⩛24441","cot":[{"info":"↹⩛5302∊∟⩊↹⩛24441=↹⩛24441","layer":1},{"info":"∮↹⩛24441=↹⩛151","layer":0}]}
{"id":257,"expression_no_base_symbol":"($2398$⪛⫼$3568$)↢($5347$↳∿⪆$2386$)","expression":"(↹⩛15034⪛⫼↹⩛24304)↢(↹⩛40431↳∿⪆↹⩛15014)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2547,"operation_count":3,"complexity_ratio":849.0,"tree":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2398,"base":6},"right_expr":{"type":"numeric_atoms","value":3568,"base":6}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":5347,"base":6},"right_expr":{"type":"numeric_atoms","value":2386,"base":6}}},"used_operators":["WR6HLWljOP","hyuBjUqXlG","Cw4SuJJGHO"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"↹⩛2124","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2398","layer":2},{"info":"number node, value=3568","layer":2},{"info":"compute binary expreesion, left_input=2398, right_input=3568, 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=5347","layer":2},{"info":"number node, value=2386","layer":2},{"info":"compute binary expreesion, left_input=5347, right_input=2386, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=nan, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=484","layer":0}],"base":6,"result_base":6,"text":"(↹⩛15034⪛⫼↹⩛24304)↢(↹⩛40431↳∿⪆↹⩛15014)=↹⩛2124","reverse_text":"↹⩛2124=(↹⩛15034⪛⫼↹⩛24304)↢(↹⩛40431↳∿⪆↹⩛15014)","cot":[{"info":"↹⩛15034⪛⫼↹⩛24304=↹⩛4252","layer":1},{"info":"↹⩛40431↳∿⪆↹⩛15014=NaN","layer":1},{"info":"↹⩛4252↢NaN=↹⩛2124","layer":0}]}
{"id":258,"expression_no_base_symbol":"≅≯⇸(↯⪼$3361$)","expression":"≅≯⇸(↯⪼↹⩛23321)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":45,"operation_count":2,"complexity_ratio":22.5,"tree":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3361,"base":6}}},"used_operators":["apS25hmuAe","8jW3W4yZS5"],"dependent_operators":["EBcxylXtPf","QMFrweE19q","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"↹⩛55053","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3361","layer":2},{"info":"compute unary expreesion, input=3361, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=7593","layer":0}],"base":6,"result_base":6,"text":"≅≯⇸(↯⪼↹⩛23321)=↹⩛55053","reverse_text":"↹⩛55053=≅≯⇸(↯⪼↹⩛23321)","cot":[{"info":"↯⪼↹⩛23321=↹⩛-33","layer":1},{"info":"≅≯⇸↹⩛-33=↹⩛55053","layer":0}]}
{"id":259,"expression_no_base_symbol":"(∑⇻≧$7664$)⊍","expression":"(∑⇻≧↹⩛55252)⊍","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19,"operation_count":2,"complexity_ratio":9.5,"tree":{"type":"unary","operator":"⊍","unary_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":7664,"base":6}}},"used_operators":["3nqY3DE9mg","l1M9WJ3V7u"],"dependent_operators":["8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN"],"result":"↹⩛-110333","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7664","layer":2},{"info":"compute unary expreesion, input=7664, 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 = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=-9201","layer":0}],"base":6,"result_base":6,"text":"(∑⇻≧↹⩛55252)⊍=↹⩛-110333","reverse_text":"↹⩛-110333=(∑⇻≧↹⩛55252)⊍","cot":[{"info":"∑⇻≧↹⩛55252=↹⩛-3540","layer":1},{"info":"↹⩛-3540⊍=↹⩛-110333","layer":0}]}
{"id":260,"expression_no_base_symbol":"($2193$⫯⪬∳$1561$)⪔⊥($1481$⋣⋖$3748$)","expression":"(↹⩛14053⫯⪬∳↹⩛11121)⪔⊥(↹⩛10505⋣⋖↹⩛25204)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":32,"operation_count":3,"complexity_ratio":10.666666666666666,"tree":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2193,"base":6},"right_expr":{"type":"numeric_atoms","value":1561,"base":6}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1481,"base":6},"right_expr":{"type":"numeric_atoms","value":3748,"base":6}}},"used_operators":["HJ9erzHUuu","d7ASUq0ydm","J0M6qkBnIM"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"↹⩛424043","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2193","layer":2},{"info":"number node, value=1561","layer":2},{"info":"compute binary expreesion, left_input=2193, right_input=1561, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=9437","layer":1},{"info":"number node, value=1481","layer":2},{"info":"number node, value=3748","layer":2},{"info":"compute binary expreesion, left_input=1481, right_input=3748, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1481","layer":1},{"info":"compute binary expreesion, left_input=9437, right_input=1481, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=34587","layer":0}],"base":6,"result_base":6,"text":"(↹⩛14053⫯⪬∳↹⩛11121)⪔⊥(↹⩛10505⋣⋖↹⩛25204)=↹⩛424043","reverse_text":"↹⩛424043=(↹⩛14053⫯⪬∳↹⩛11121)⪔⊥(↹⩛10505⋣⋖↹⩛25204)","cot":[{"info":"↹⩛14053⫯⪬∳↹⩛11121=↹⩛111405","layer":1},{"info":"↹⩛10505⋣⋖↹⩛25204=↹⩛10505","layer":1},{"info":"↹⩛111405⪔⊥↹⩛10505=↹⩛424043","layer":0}]}
{"id":261,"expression_no_base_symbol":"$1119$⋛$1767$⪘⫢($3133$⨑≵⋬$4606$)","expression":"↹⩛5103⋛↹⩛12103⪘⫢(↹⩛22301⨑≵⋬↹⩛33154)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":290,"operation_count":3,"complexity_ratio":96.66666666666667,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1119,"base":6},"right_expr":{"type":"numeric_atoms","value":1767,"base":6}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3133,"base":6},"right_expr":{"type":"numeric_atoms","value":4606,"base":6}}},"used_operators":["oacrs7FA3X","YbUVn0Rbpy","XnXgA4xnOs"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"↹⩛-1","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1119","layer":2},{"info":"number node, value=1767","layer":2},{"info":"compute binary expreesion, left_input=1119, right_input=1767, 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=-122121","layer":1},{"info":"number node, value=3133","layer":2},{"info":"number node, value=4606","layer":2},{"info":"compute binary expreesion, left_input=3133, right_input=4606, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-15198","layer":1},{"info":"compute binary expreesion, left_input=-122121, right_input=-15198, 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":6,"result_base":6,"text":"↹⩛5103⋛↹⩛12103⪘⫢(↹⩛22301⨑≵⋬↹⩛33154)=↹⩛-1","reverse_text":"↹⩛-1=↹⩛5103⋛↹⩛12103⪘⫢(↹⩛22301⨑≵⋬↹⩛33154)","cot":[{"info":"↹⩛5103⋛↹⩛12103=↹⩛-2341213","layer":1},{"info":"↹⩛22301⨑≵⋬↹⩛33154=↹⩛-154210","layer":1},{"info":"↹⩛-2341213⪘⫢↹⩛-154210=↹⩛-1","layer":0}]}
{"id":262,"expression_no_base_symbol":"⋗⩬⋾($1842$⫃⨇$3996$)","expression":"⋗⩬⋾(↹⩛12310⫃⨇↹⩛30300)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15,"operation_count":2,"complexity_ratio":7.5,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1842,"base":6},"right_expr":{"type":"numeric_atoms","value":3996,"base":6}}},"used_operators":["DpFCA1CohY","09Ly4LVMIf"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"↹⩛1010240","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1842","layer":2},{"info":"number node, value=3996","layer":2},{"info":"compute binary expreesion, left_input=1842, right_input=3996, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-16016","layer":1},{"info":"compute unary expreesion, input=-16016, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=48048","layer":0}],"base":6,"result_base":6,"text":"⋗⩬⋾(↹⩛12310⫃⨇↹⩛30300)=↹⩛1010240","reverse_text":"↹⩛1010240=⋗⩬⋾(↹⩛12310⫃⨇↹⩛30300)","cot":[{"info":"↹⩛12310⫃⨇↹⩛30300=↹⩛-202052","layer":1},{"info":"⋗⩬⋾↹⩛-202052=↹⩛1010240","layer":0}]}
{"id":263,"expression_no_base_symbol":"(⊽$1991$)⫣⪄⊒($2512$⪕$6032$)","expression":"(⊽↹⩛13115)⫣⪄⊒(↹⩛15344⪕↹⩛43532)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":68,"operation_count":3,"complexity_ratio":22.666666666666668,"tree":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":1991,"base":6}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2512,"base":6},"right_expr":{"type":"numeric_atoms","value":6032,"base":6}}},"used_operators":["RabNbG55vr","QxG7OkqoLX","umQnsF7QlU"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1991","layer":2},{"info":"compute unary expreesion, input=1991, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=5504","layer":1},{"info":"number node, value=2512","layer":2},{"info":"number node, value=6032","layer":2},{"info":"compute binary expreesion, left_input=2512, right_input=6032, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":1},{"info":"compute binary expreesion, left_input=5504, right_input=-55, 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":6,"result_base":6,"text":"(⊽↹⩛13115)⫣⪄⊒(↹⩛15344⪕↹⩛43532)=↹⩛424","reverse_text":"↹⩛424=(⊽↹⩛13115)⫣⪄⊒(↹⩛15344⪕↹⩛43532)","cot":[{"info":"⊽↹⩛13115=↹⩛41252","layer":1},{"info":"↹⩛15344⪕↹⩛43532=↹⩛-131","layer":1},{"info":"↹⩛41252⫣⪄⊒↹⩛-131=↹⩛424","layer":0}]}
{"id":264,"expression_no_base_symbol":"⊗(⇖$5854$)","expression":"⊗(⇖↹⩛43034)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19,"operation_count":2,"complexity_ratio":9.5,"tree":{"type":"unary","operator":"⊗","unary_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":5854,"base":6}}},"used_operators":["RhiyfpczSx","tfWHHpNKUN"],"dependent_operators":["nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","2DQ55sFlQl"],"result":"↹⩛1004","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5854","layer":2},{"info":"compute unary expreesion, input=5854, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=220","layer":0}],"base":6,"result_base":6,"text":"⊗(⇖↹⩛43034)=↹⩛1004","reverse_text":"↹⩛1004=⊗(⇖↹⩛43034)","cot":[{"info":"⇖↹⩛43034=↹⩛424","layer":1},{"info":"⊗↹⩛424=↹⩛1004","layer":0}]}
{"id":265,"expression_no_base_symbol":"$3212$⪇≇⋚$8231$⪨≂(⋼∭⪍$2442$)","expression":"↹⩛22512⪇≇⋚↹⩛102035⪨≂(⋼∭⪍↹⩛15150)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":3212,"base":6},"right_expr":{"type":"numeric_atoms","value":8231,"base":6}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":2442,"base":6}}},"used_operators":["sdazOOVcIp","3sJ7IOPOlU","DbCuESL50I"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG"],"result":"↹⩛202450","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3212","layer":2},{"info":"number node, value=8231","layer":2},{"info":"compute binary expreesion, left_input=3212, right_input=8231, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=2442","layer":2},{"info":"compute unary expreesion, input=2442, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-8028","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-8028, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=16158","layer":0}],"base":6,"result_base":6,"text":"↹⩛22512⪇≇⋚↹⩛102035⪨≂(⋼∭⪍↹⩛15150)=↹⩛202450","reverse_text":"↹⩛202450=↹⩛22512⪇≇⋚↹⩛102035⪨≂(⋼∭⪍↹⩛15150)","cot":[{"info":"↹⩛22512⪇≇⋚↹⩛102035=↹⩛0","layer":1},{"info":"⋼∭⪍↹⩛15150=↹⩛-101100","layer":1},{"info":"↹⩛0⪨≂↹⩛-101100=↹⩛202450","layer":0}]}
{"id":266,"expression_no_base_symbol":"($1081$≑≱⪘)⊋≦⊧($2476$⇼⇔∾$1781$)","expression":"(↹⩛5001≑≱⪘)⊋≦⊧(↹⩛15244⇼⇔∾↹⩛12125)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":129,"operation_count":3,"complexity_ratio":43.0,"tree":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":1081,"base":6}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2476,"base":6},"right_expr":{"type":"numeric_atoms","value":1781,"base":6}}},"used_operators":["oRDoc9rAEX","tGSeddj7UK","tifHPKVTfV"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛11314","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1081","layer":2},{"info":"compute unary expreesion, input=1081, 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=24471","layer":1},{"info":"number node, value=2476","layer":2},{"info":"number node, value=1781","layer":2},{"info":"compute binary expreesion, left_input=2476, right_input=1781, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-695","layer":1},{"info":"compute binary expreesion, left_input=24471, right_input=-695, 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=1630","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5001≑≱⪘)⊋≦⊧(↹⩛15244⇼⇔∾↹⩛12125)=↹⩛11314","reverse_text":"↹⩛11314=(↹⩛5001≑≱⪘)⊋≦⊧(↹⩛15244⇼⇔∾↹⩛12125)","cot":[{"info":"↹⩛5001≑≱⪘=↹⩛305143","layer":1},{"info":"↹⩛15244⇼⇔∾↹⩛12125=↹⩛-3115","layer":1},{"info":"↹⩛305143⊋≦⊧↹⩛-3115=↹⩛11314","layer":0}]}
{"id":267,"expression_no_base_symbol":"($2534$⇋≉)⪛⫼$4977$≹⇙⪍$2646$","expression":"(↹⩛15422⇋≉)⪛⫼↹⩛35013≹⇙⪍↹⩛20130","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":178,"operation_count":3,"complexity_ratio":59.333333333333336,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2534,"base":6}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4977,"base":6},"right_expr":{"type":"numeric_atoms","value":2646,"base":6}}},"used_operators":["hyuBjUqXlG","XIabStNQrY","AHs5Up7iyr"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2534","layer":2},{"info":"compute unary expreesion, input=2534, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4970","layer":1},{"info":"number node, value=4977","layer":2},{"info":"number node, value=2646","layer":2},{"info":"compute binary expreesion, left_input=4977, right_input=2646, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=4970, right_input=nan, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛15422⇋≉)⪛⫼↹⩛35013≹⇙⪍↹⩛20130=NaN","reverse_text":"NaN=(↹⩛15422⇋≉)⪛⫼↹⩛35013≹⇙⪍↹⩛20130","cot":[{"info":"↹⩛15422⇋≉=↹⩛35002","layer":1},{"info":"↹⩛35013≹⇙⪍↹⩛20130=NaN","layer":1},{"info":"↹⩛35002⪛⫼NaN=NaN","layer":0}]}
{"id":268,"expression_no_base_symbol":"($4884$⇴∐$7037$)⨚($1391$↡⊰⫅$1020$)","expression":"(↹⩛34340⇴∐↹⩛52325)⨚(↹⩛10235↡⊰⫅↹⩛4420)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14337,"operation_count":3,"complexity_ratio":4779.0,"tree":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":4884,"base":6},"right_expr":{"type":"numeric_atoms","value":7037,"base":6}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1391,"base":6},"right_expr":{"type":"numeric_atoms","value":1020,"base":6}}},"used_operators":["nREPSIbpBE","HnzytWxmAO","VCtxkLNOzz"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4884","layer":2},{"info":"number node, value=7037","layer":2},{"info":"compute binary expreesion, left_input=4884, right_input=7037, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"number node, value=1391","layer":2},{"info":"number node, value=1020","layer":2},{"info":"compute binary expreesion, left_input=1391, right_input=1020, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2040","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2040, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛34340⇴∐↹⩛52325)⨚(↹⩛10235↡⊰⫅↹⩛4420)=NaN","reverse_text":"NaN=(↹⩛34340⇴∐↹⩛52325)⨚(↹⩛10235↡⊰⫅↹⩛4420)","cot":[{"info":"↹⩛34340⇴∐↹⩛52325=NaN","layer":1},{"info":"↹⩛10235↡⊰⫅↹⩛4420=↹⩛13240","layer":1},{"info":"NaN⨚↹⩛13240=NaN","layer":0}]}
{"id":269,"expression_no_base_symbol":"($6818$-$8151$)⩇∃⫛(⨞⊢$1229$)","expression":"(↹⩛51322-↹⩛101423)⩇∃⫛(⨞⊢↹⩛5405)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15,"operation_count":3,"complexity_ratio":5.0,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6818,"base":6},"right_expr":{"type":"numeric_atoms","value":8151,"base":6}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1229,"base":6}}},"used_operators":["1aApVXNlOP","rysDP5nf3Z","xUOZtlo3hN"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛-10101","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6818","layer":2},{"info":"number node, value=8151","layer":2},{"info":"compute binary expreesion, left_input=6818, right_input=8151, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1333","layer":1},{"info":"number node, value=1229","layer":2},{"info":"compute unary expreesion, input=1229, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1403","layer":1},{"info":"compute binary expreesion, left_input=-1333, right_input=-1403, 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=-1333","layer":0}],"base":6,"result_base":6,"text":"(↹⩛51322-↹⩛101423)⩇∃⫛(⨞⊢↹⩛5405)=↹⩛-10101","reverse_text":"↹⩛-10101=(↹⩛51322-↹⩛101423)⩇∃⫛(⨞⊢↹⩛5405)","cot":[{"info":"↹⩛51322-↹⩛101423=↹⩛-10101","layer":1},{"info":"⨞⊢↹⩛5405=↹⩛-10255","layer":1},{"info":"↹⩛-10101⩇∃⫛↹⩛-10255=↹⩛-10101","layer":0}]}
{"id":270,"expression_no_base_symbol":"↯⪼$1204$→⨶⪴$3477$","expression":"↯⪼↹⩛5324→⨶⪴↹⩛24033","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16,"operation_count":2,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1204,"base":6},"right_expr":{"type":"numeric_atoms","value":3477,"base":6}}},"used_operators":["8jW3W4yZS5","bF6eod5Gvf"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","8w2t5hMYqp","9FxExcQeMw"],"result":"↹⩛232201","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1204","layer":2},{"info":"number node, value=3477","layer":2},{"info":"compute binary expreesion, left_input=1204, right_input=3477, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-10431","layer":1},{"info":"compute unary expreesion, input=-10431, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=19945","layer":0}],"base":6,"result_base":6,"text":"↯⪼↹⩛5324→⨶⪴↹⩛24033=↹⩛232201","reverse_text":"↹⩛232201=↯⪼↹⩛5324→⨶⪴↹⩛24033","cot":[{"info":"↹⩛5324→⨶⪴↹⩛24033=↹⩛-120143","layer":1},{"info":"↯⪼↹⩛-120143=↹⩛232201","layer":0}]}
{"id":271,"expression_no_base_symbol":"(⇁⨣⪵$4154$)↛⩡⫤","expression":"(⇁⨣⪵↹⩛31122)↛⩡⫤","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":64,"operation_count":2,"complexity_ratio":32.0,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":4154,"base":6}}},"used_operators":["FU0Cs4j7VP","inkyxCbjAn"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4154","layer":2},{"info":"compute unary expreesion, input=4154, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⇁⨣⪵↹⩛31122)↛⩡⫤=NaN","reverse_text":"NaN=(⇁⨣⪵↹⩛31122)↛⩡⫤","cot":[{"info":"⇁⨣⪵↹⩛31122=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":272,"expression_no_base_symbol":"$6094$⨽∌$1022$↡⊰⫅($4738$⊪)","expression":"↹⩛44114⨽∌↹⩛4422↡⊰⫅(↹⩛33534⊪)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":106,"operation_count":3,"complexity_ratio":35.333333333333336,"tree":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":6094,"base":6},"right_expr":{"type":"numeric_atoms","value":1022,"base":6}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":4738,"base":6}}},"used_operators":["VCtxkLNOzz","9samAPKr6k","zVYPLywUTj"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=6094","layer":2},{"info":"number node, value=1022","layer":2},{"info":"compute binary expreesion, left_input=6094, right_input=1022, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"number node, value=4738","layer":2},{"info":"compute unary expreesion, input=4738, 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 = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"↹⩛44114⨽∌↹⩛4422↡⊰⫅(↹⩛33534⊪)=↹⩛0","reverse_text":"↹⩛0=↹⩛44114⨽∌↹⩛4422↡⊰⫅(↹⩛33534⊪)","cot":[{"info":"↹⩛44114⨽∌↹⩛4422=↹⩛0","layer":1},{"info":"↹⩛33534⊪=↹⩛0","layer":1},{"info":"↹⩛0↡⊰⫅↹⩛0=↹⩛0","layer":0}]}
{"id":273,"expression_no_base_symbol":"($1209$⊉≛↸$4122$)⩁⩘(⊥$1020$)","expression":"(↹⩛5333⊉≛↸↹⩛31030)⩁⩘(⊥↹⩛4420)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":24,"operation_count":3,"complexity_ratio":8.0,"tree":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1209,"base":6},"right_expr":{"type":"numeric_atoms","value":4122,"base":6}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1020,"base":6}}},"used_operators":["gub5Cegaqo","DZ8iAZOCBD","Q3PJZHRvZv"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1209","layer":2},{"info":"number node, value=4122","layer":2},{"info":"compute binary expreesion, left_input=1209, right_input=4122, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2418","layer":1},{"info":"number node, value=1020","layer":2},{"info":"compute unary expreesion, input=1020, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2418, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5333⊉≛↸↹⩛31030)⩁⩘(⊥↹⩛4420)=NaN","reverse_text":"NaN=(↹⩛5333⊉≛↸↹⩛31030)⩁⩘(⊥↹⩛4420)","cot":[{"info":"↹⩛5333⊉≛↸↹⩛31030=↹⩛15110","layer":1},{"info":"⊥↹⩛4420=NaN","layer":1},{"info":"↹⩛15110⩁⩘NaN=NaN","layer":0}]}
{"id":274,"expression_no_base_symbol":"($7545$⨽∌$6090$)⋹⋡⊁($4905$≀⫉$3236$)","expression":"(↹⩛54533⨽∌↹⩛44110)⋹⋡⊁(↹⩛34413≀⫉↹⩛22552)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":62754,"operation_count":3,"complexity_ratio":20918.0,"tree":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":7545,"base":6},"right_expr":{"type":"numeric_atoms","value":6090,"base":6}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":4905,"base":6},"right_expr":{"type":"numeric_atoms","value":3236,"base":6}}},"used_operators":["As8RqfVLgs","9samAPKr6k","oZj3VtZNQx"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz"],"result":"↹⩛24312","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=7545","layer":2},{"info":"number node, value=6090","layer":2},{"info":"compute binary expreesion, left_input=7545, right_input=6090, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"number node, value=4905","layer":2},{"info":"number node, value=3236","layer":2},{"info":"compute binary expreesion, left_input=4905, right_input=3236, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"compute binary expreesion, left_input=0, 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":0}],"base":6,"result_base":6,"text":"(↹⩛54533⨽∌↹⩛44110)⋹⋡⊁(↹⩛34413≀⫉↹⩛22552)=↹⩛24312","reverse_text":"↹⩛24312=(↹⩛54533⨽∌↹⩛44110)⋹⋡⊁(↹⩛34413≀⫉↹⩛22552)","cot":[{"info":"↹⩛54533⨽∌↹⩛44110=↹⩛0","layer":1},{"info":"↹⩛34413≀⫉↹⩛22552=↹⩛21022","layer":1},{"info":"↹⩛0⋹⋡⊁↹⩛21022=↹⩛24312","layer":0}]}
{"id":275,"expression_no_base_symbol":"↞≼(∤$4007$)","expression":"↞≼(∤↹⩛30315)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":23,"operation_count":2,"complexity_ratio":11.5,"tree":{"type":"unary","operator":"↞≼","unary_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":4007,"base":6}}},"used_operators":["DE7zCoGJt9","k2HlF1dBQh"],"dependent_operators":["W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp"],"result":"↹⩛-1330","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4007","layer":2},{"info":"compute unary expreesion, input=4007, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":1},{"info":"compute unary expreesion, input=9, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=-342","layer":0}],"base":6,"result_base":6,"text":"↞≼(∤↹⩛30315)=↹⩛-1330","reverse_text":"↹⩛-1330=↞≼(∤↹⩛30315)","cot":[{"info":"∤↹⩛30315=↹⩛13","layer":1},{"info":"↞≼↹⩛13=↹⩛-1330","layer":0}]}
{"id":276,"expression_no_base_symbol":"(⪝⪂⫅$4110$)⫚↹⊑$3629$↼⊘⨖$3612$","expression":"(⪝⪂⫅↹⩛31010)⫚↹⊑↹⩛24445↼⊘⨖↹⩛24420","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":171,"operation_count":3,"complexity_ratio":57.0,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4110,"base":6}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":3629,"base":6},"right_expr":{"type":"numeric_atoms","value":3612,"base":6}}},"used_operators":["dfKe02y8D2","XTarYq4gQB","bPywburJMS"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","9HNa5Wba9A","8w2t5hMYqp","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd"],"result":"↹⩛-2023","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4110","layer":2},{"info":"compute unary expreesion, input=4110, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-604170","layer":1},{"info":"number node, value=3629","layer":2},{"info":"number node, value=3612","layer":2},{"info":"compute binary expreesion, left_input=3629, right_input=3612, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=7002","layer":1},{"info":"compute binary expreesion, left_input=-604170, right_input=7002, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":6,"result_base":6,"text":"(⪝⪂⫅↹⩛31010)⫚↹⊑↹⩛24445↼⊘⨖↹⩛24420=↹⩛-2023","reverse_text":"↹⩛-2023=(⪝⪂⫅↹⩛31010)⫚↹⊑↹⩛24445↼⊘⨖↹⩛24420","cot":[{"info":"⪝⪂⫅↹⩛31010=↹⩛-20541030","layer":1},{"info":"↹⩛24445↼⊘⨖↹⩛24420=↹⩛52230","layer":1},{"info":"↹⩛-20541030⫚↹⊑↹⩛52230=↹⩛-2023","layer":0}]}
{"id":277,"expression_no_base_symbol":"⩎⋉($6632$⪥$1917$)","expression":"⩎⋉(↹⩛50412⪥↹⩛12513)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":99,"operation_count":2,"complexity_ratio":49.5,"tree":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":6632,"base":6},"right_expr":{"type":"numeric_atoms","value":1917,"base":6}}},"used_operators":["FlXk3pOYe8","QbnwKVWMIQ"],"dependent_operators":["KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"↹⩛11350","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6632","layer":2},{"info":"number node, value=1917","layer":2},{"info":"compute binary expreesion, left_input=6632, right_input=1917, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=31180","layer":1},{"info":"compute unary expreesion, input=31180, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":0}],"base":6,"result_base":6,"text":"⩎⋉(↹⩛50412⪥↹⩛12513)=↹⩛11350","reverse_text":"↹⩛11350=⩎⋉(↹⩛50412⪥↹⩛12513)","cot":[{"info":"↹⩛50412⪥↹⩛12513=↹⩛400204","layer":1},{"info":"⩎⋉↹⩛400204=↹⩛11350","layer":0}]}
{"id":278,"expression_no_base_symbol":"$4786$⩖⊿$2813$∲⫓$4778$⩖⊿$1292$","expression":"↹⩛34054⩖⊿↹⩛21005∲⫓↹⩛34042⩖⊿↹⩛5552","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":59,"operation_count":3,"complexity_ratio":19.666666666666668,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":4786,"base":6},"right_expr":{"type":"numeric_atoms","value":2813,"base":6}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":4778,"base":6},"right_expr":{"type":"numeric_atoms","value":1292,"base":6}}},"used_operators":["i8ToyICDmI","RZ5CV9rWsJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"↹⩛23102","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4786","layer":2},{"info":"number node, value=2813","layer":2},{"info":"compute binary expreesion, left_input=4786, right_input=2813, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=3278","layer":1},{"info":"number node, value=4778","layer":2},{"info":"number node, value=1292","layer":2},{"info":"compute binary expreesion, left_input=4778, right_input=1292, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-8858","layer":1},{"info":"compute binary expreesion, left_input=3278, right_input=-8858, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=3278","layer":0}],"base":6,"result_base":6,"text":"↹⩛34054⩖⊿↹⩛21005∲⫓↹⩛34042⩖⊿↹⩛5552=↹⩛23102","reverse_text":"↹⩛23102=↹⩛34054⩖⊿↹⩛21005∲⫓↹⩛34042⩖⊿↹⩛5552","cot":[{"info":"↹⩛34054⩖⊿↹⩛21005=↹⩛23102","layer":1},{"info":"↹⩛34042⩖⊿↹⩛5552=↹⩛-105002","layer":1},{"info":"↹⩛23102∲⫓↹⩛-105002=↹⩛23102","layer":0}]}
{"id":279,"expression_no_base_symbol":"$6398$⇂≾⫗$4975$⨻⩈⩔$1348$⫯⪬∳$1835$","expression":"↹⩛45342⇂≾⫗↹⩛35011⨻⩈⩔↹⩛10124⫯⪬∳↹⩛12255","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":161,"operation_count":3,"complexity_ratio":53.666666666666664,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":6398,"base":6},"right_expr":{"type":"numeric_atoms","value":4975,"base":6}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1348,"base":6},"right_expr":{"type":"numeric_atoms","value":1835,"base":6}}},"used_operators":["nEsXyWgiOK","aBQ6xLxuTc","d7ASUq0ydm"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"↹⩛-450","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=6398","layer":2},{"info":"number node, value=4975","layer":2},{"info":"compute binary expreesion, left_input=6398, right_input=4975, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"number node, value=1348","layer":2},{"info":"number node, value=1835","layer":2},{"info":"compute binary expreesion, left_input=1348, right_input=1835, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=4938","layer":1},{"info":"compute binary expreesion, left_input=-676, right_input=4938, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":0}],"base":6,"result_base":6,"text":"↹⩛45342⇂≾⫗↹⩛35011⨻⩈⩔↹⩛10124⫯⪬∳↹⩛12255=↹⩛-450","reverse_text":"↹⩛-450=↹⩛45342⇂≾⫗↹⩛35011⨻⩈⩔↹⩛10124⫯⪬∳↹⩛12255","cot":[{"info":"↹⩛45342⇂≾⫗↹⩛35011=↹⩛-3044","layer":1},{"info":"↹⩛10124⫯⪬∳↹⩛12255=↹⩛34510","layer":1},{"info":"↹⩛-3044⨻⩈⩔↹⩛34510=↹⩛-450","layer":0}]}
{"id":280,"expression_no_base_symbol":"⇁⨣⪵($5794$⫑)","expression":"⇁⨣⪵(↹⩛42454⫑)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":145,"operation_count":2,"complexity_ratio":72.5,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":5794,"base":6}}},"used_operators":["inkyxCbjAn","CgIo77xlM2"],"dependent_operators":["B5M0gjZbta","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5794","layer":2},{"info":"compute unary expreesion, input=5794, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":1},{"info":"compute unary expreesion, input=3979, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⇁⨣⪵(↹⩛42454⫑)=NaN","reverse_text":"NaN=⇁⨣⪵(↹⩛42454⫑)","cot":[{"info":"↹⩛42454⫑=↹⩛30231","layer":1},{"info":"⇁⨣⪵↹⩛30231=NaN","layer":0}]}
{"id":281,"expression_no_base_symbol":"($3871$⊋≦⊧$5803$)≝⊿(∂$3143$)","expression":"(↹⩛25531⊋≦⊧↹⩛42511)≝⊿(∂↹⩛22315)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34,"operation_count":3,"complexity_ratio":11.333333333333334,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":3871,"base":6},"right_expr":{"type":"numeric_atoms","value":5803,"base":6}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3143,"base":6}}},"used_operators":["OKKcZfAt5B","oRDoc9rAEX","Uaa54Peajs"],"dependent_operators":["12rbrZMWeM","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3871","layer":2},{"info":"number node, value=5803","layer":2},{"info":"compute binary expreesion, left_input=3871, right_input=5803, 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=-9434","layer":1},{"info":"number node, value=3143","layer":2},{"info":"compute unary expreesion, input=3143, 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=-9434, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛25531⊋≦⊧↹⩛42511)≝⊿(∂↹⩛22315)=NaN","reverse_text":"NaN=(↹⩛25531⊋≦⊧↹⩛42511)≝⊿(∂↹⩛22315)","cot":[{"info":"↹⩛25531⊋≦⊧↹⩛42511=↹⩛-111402","layer":1},{"info":"∂↹⩛22315=NaN","layer":1},{"info":"↹⩛-111402≝⊿NaN=NaN","layer":0}]}
{"id":282,"expression_no_base_symbol":"↩⪖($2935$⪨≂$2040$)","expression":"↩⪖(↹⩛21331⪨≂↹⩛13240)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":25,"operation_count":2,"complexity_ratio":12.5,"tree":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2935,"base":6},"right_expr":{"type":"numeric_atoms","value":2040,"base":6}}},"used_operators":["fG6uBQFnGz","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛-150210","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2935","layer":2},{"info":"number node, value=2040","layer":2},{"info":"compute binary expreesion, left_input=2935, right_input=2040, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1892","layer":1},{"info":"compute unary expreesion, input=1892, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-14334","layer":0}],"base":6,"result_base":6,"text":"↩⪖(↹⩛21331⪨≂↹⩛13240)=↹⩛-150210","reverse_text":"↹⩛-150210=↩⪖(↹⩛21331⪨≂↹⩛13240)","cot":[{"info":"↹⩛21331⪨≂↹⩛13240=↹⩛12432","layer":1},{"info":"↩⪖↹⩛12432=↹⩛-150210","layer":0}]}
{"id":283,"expression_no_base_symbol":"⩏⊷≩(∜⨇$1811$)","expression":"⩏⊷≩(∜⨇↹⩛12215)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":73,"operation_count":2,"complexity_ratio":36.5,"tree":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":1811,"base":6}}},"used_operators":["uOZ1tnYMDE","uFPyJr306J"],"dependent_operators":["23Mk6UjR3U","12rbrZMWeM","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1811","layer":2},{"info":"compute unary expreesion, input=1811, 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 = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⩏⊷≩(∜⨇↹⩛12215)=NaN","reverse_text":"NaN=⩏⊷≩(∜⨇↹⩛12215)","cot":[{"info":"∜⨇↹⩛12215=NaN","layer":1},{"info":"⩏⊷≩NaN=NaN","layer":0}]}
{"id":284,"expression_no_base_symbol":"$1490$⋅⇍$4882$⫔⩽⩺$1431$≓∲$1518$","expression":"↹⩛10522⋅⇍↹⩛34334⫔⩽⩺↹⩛10343≓∲↹⩛11010","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":84,"operation_count":3,"complexity_ratio":28.0,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1490,"base":6},"right_expr":{"type":"numeric_atoms","value":4882,"base":6}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1431,"base":6},"right_expr":{"type":"numeric_atoms","value":1518,"base":6}}},"used_operators":["i9eR4S00cU","AdZkA7nFnk","s1XTVnmDOJ"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1490","layer":2},{"info":"number node, value=4882","layer":2},{"info":"compute binary expreesion, left_input=1490, right_input=4882, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"number node, value=1431","layer":2},{"info":"number node, value=1518","layer":2},{"info":"compute binary expreesion, left_input=1431, right_input=1518, 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=15093","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=15093, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛10522⋅⇍↹⩛34334⫔⩽⩺↹⩛10343≓∲↹⩛11010=NaN","reverse_text":"NaN=↹⩛10522⋅⇍↹⩛34334⫔⩽⩺↹⩛10343≓∲↹⩛11010","cot":[{"info":"↹⩛10522⋅⇍↹⩛34334=↹⩛-34","layer":1},{"info":"↹⩛10343≓∲↹⩛11010=↹⩛153513","layer":1},{"info":"↹⩛-34⫔⩽⩺↹⩛153513=NaN","layer":0}]}
{"id":285,"expression_no_base_symbol":"∮(∐⩳⋚$3123$)","expression":"∮(∐⩳⋚↹⩛22243)","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":479,"operation_count":2,"complexity_ratio":239.5,"tree":{"type":"unary","operator":"∮","unary_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":3123,"base":6}}},"used_operators":["CqXKPLVYql","SL6IHkK8vl"],"dependent_operators":["2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3123","layer":2},{"info":"compute unary expreesion, input=3123, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=453190","layer":1},{"info":"compute unary expreesion, input=453190, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":0}],"base":6,"result_base":6,"text":"∮(∐⩳⋚↹⩛22243)=↹⩛151","reverse_text":"↹⩛151=∮(∐⩳⋚↹⩛22243)","cot":[{"info":"∐⩳⋚↹⩛22243=↹⩛13414034","layer":1},{"info":"∮↹⩛13414034=↹⩛151","layer":0}]}
{"id":286,"expression_no_base_symbol":"($2339$⩹$2668$)≎⊠⪸($5314$⋻⩜⩜$5932$)","expression":"(↹⩛14455⩹↹⩛20204)≎⊠⪸(↹⩛40334⋻⩜⩜↹⩛43244)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":83337,"operation_count":3,"complexity_ratio":27779.0,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":2339,"base":6},"right_expr":{"type":"numeric_atoms","value":2668,"base":6}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":5314,"base":6},"right_expr":{"type":"numeric_atoms","value":5932,"base":6}}},"used_operators":["bJkvcejdHO","2Wsdkap16l","oDCm7WA9JY"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"↹⩛22442313","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2339","layer":2},{"info":"number node, value=2668","layer":2},{"info":"compute binary expreesion, left_input=2339, right_input=2668, 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=2666","layer":1},{"info":"number node, value=5314","layer":2},{"info":"number node, value=5932","layer":2},{"info":"compute binary expreesion, left_input=5314, right_input=5932, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=10628","layer":1},{"info":"compute binary expreesion, left_input=2666, right_input=10628, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=690021","layer":0}],"base":6,"result_base":6,"text":"(↹⩛14455⩹↹⩛20204)≎⊠⪸(↹⩛40334⋻⩜⩜↹⩛43244)=↹⩛22442313","reverse_text":"↹⩛22442313=(↹⩛14455⩹↹⩛20204)≎⊠⪸(↹⩛40334⋻⩜⩜↹⩛43244)","cot":[{"info":"↹⩛14455⩹↹⩛20204=↹⩛20202","layer":1},{"info":"↹⩛40334⋻⩜⩜↹⩛43244=↹⩛121112","layer":1},{"info":"↹⩛20202≎⊠⪸↹⩛121112=↹⩛22442313","layer":0}]}
{"id":287,"expression_no_base_symbol":"$1878$≃$4086$⨔≚≋$4446$⩌⋺$1633$","expression":"↹⩛12410≃↹⩛30530⨔≚≋↹⩛32330⩌⋺↹⩛11321","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":61,"operation_count":3,"complexity_ratio":20.333333333333332,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1878,"base":6},"right_expr":{"type":"numeric_atoms","value":4086,"base":6}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":4446,"base":6},"right_expr":{"type":"numeric_atoms","value":1633,"base":6}}},"used_operators":["Z57zeUYC9z","YbVcJGFEVW","g7Hmc5v1ko"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"↹⩛3332132","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1878","layer":2},{"info":"number node, value=4086","layer":2},{"info":"compute binary expreesion, left_input=1878, right_input=4086, 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=-7552","layer":1},{"info":"number node, value=4446","layer":2},{"info":"number node, value=1633","layer":2},{"info":"compute binary expreesion, left_input=4446, right_input=1633, 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=-6200","layer":1},{"info":"compute binary expreesion, left_input=-7552, right_input=-6200, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=167672","layer":0}],"base":6,"result_base":6,"text":"↹⩛12410≃↹⩛30530⨔≚≋↹⩛32330⩌⋺↹⩛11321=↹⩛3332132","reverse_text":"↹⩛3332132=↹⩛12410≃↹⩛30530⨔≚≋↹⩛32330⩌⋺↹⩛11321","cot":[{"info":"↹⩛12410≃↹⩛30530=↹⩛-54544","layer":1},{"info":"↹⩛32330⩌⋺↹⩛11321=↹⩛-44412","layer":1},{"info":"↹⩛-54544⨔≚≋↹⩛-44412=↹⩛3332132","layer":0}]}
{"id":288,"expression_no_base_symbol":"(⊄⩳↩$5432$)⇄($3208$∝$5659$)","expression":"(⊄⩳↩↹⩛41052)⇄(↹⩛22504∝↹⩛42111)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":18,"operation_count":3,"complexity_ratio":6.0,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5432,"base":6}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":3208,"base":6},"right_expr":{"type":"numeric_atoms","value":5659,"base":6}}},"used_operators":["3EYGwJThht","8w2t5hMYqp","cTDWOvIxvz"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"↹⩛-20345","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5432","layer":2},{"info":"compute unary expreesion, input=5432, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-16296","layer":1},{"info":"number node, value=3208","layer":2},{"info":"number node, value=5659","layer":2},{"info":"compute binary expreesion, left_input=3208, right_input=5659, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=3213","layer":1},{"info":"compute binary expreesion, left_input=-16296, right_input=3213, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=-2729","layer":0}],"base":6,"result_base":6,"text":"(⊄⩳↩↹⩛41052)⇄(↹⩛22504∝↹⩛42111)=↹⩛-20345","reverse_text":"↹⩛-20345=(⊄⩳↩↹⩛41052)⇄(↹⩛22504∝↹⩛42111)","cot":[{"info":"⊄⩳↩↹⩛41052=↹⩛-203240","layer":1},{"info":"↹⩛22504∝↹⩛42111=↹⩛22513","layer":1},{"info":"↹⩛-203240⇄↹⩛22513=↹⩛-20345","layer":0}]}
{"id":289,"expression_no_base_symbol":"($3758$⪁$2932$)⪛⫼(≉$2513$)","expression":"(↹⩛25222⪁↹⩛21324)⪛⫼(≉↹⩛15345)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6732370,"operation_count":3,"complexity_ratio":2244123.3333333335,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":3758,"base":6},"right_expr":{"type":"numeric_atoms","value":2932,"base":6}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2513,"base":6}}},"used_operators":["hyuBjUqXlG","I7sXao9hZE","e1ybzncUwg"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛4252","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3758","layer":2},{"info":"number node, value=2932","layer":2},{"info":"compute binary expreesion, left_input=3758, right_input=2932, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=2513","layer":2},{"info":"compute unary expreesion, input=2513, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3044","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3044, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":0}],"base":6,"result_base":6,"text":"(↹⩛25222⪁↹⩛21324)⪛⫼(≉↹⩛15345)=↹⩛4252","reverse_text":"↹⩛4252=(↹⩛25222⪁↹⩛21324)⪛⫼(≉↹⩛15345)","cot":[{"info":"↹⩛25222⪁↹⩛21324=NaN","layer":1},{"info":"≉↹⩛15345=↹⩛22032","layer":1},{"info":"NaN⪛⫼↹⩛22032=↹⩛4252","layer":0}]}
{"id":290,"expression_no_base_symbol":"$7055$⩖⊿$6139$∥⊢⊲($1345$⩚⊴⇥$1198$)","expression":"↹⩛52355⩖⊿↹⩛44231∥⊢⊲(↹⩛10121⩚⊴⇥↹⩛5314)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":40,"operation_count":3,"complexity_ratio":13.333333333333334,"tree":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":7055,"base":6},"right_expr":{"type":"numeric_atoms","value":6139,"base":6}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1345,"base":6},"right_expr":{"type":"numeric_atoms","value":1198,"base":6}}},"used_operators":["v1UQAVDJRr","RZ5CV9rWsJ","NTOWxs364D"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7055","layer":2},{"info":"number node, value=6139","layer":2},{"info":"compute binary expreesion, left_input=7055, right_input=6139, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=20810","layer":1},{"info":"number node, value=1345","layer":2},{"info":"number node, value=1198","layer":2},{"info":"compute binary expreesion, left_input=1345, right_input=1198, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2664","layer":1},{"info":"compute binary expreesion, left_input=20810, right_input=-2664, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛52355⩖⊿↹⩛44231∥⊢⊲(↹⩛10121⩚⊴⇥↹⩛5314)=NaN","reverse_text":"NaN=↹⩛52355⩖⊿↹⩛44231∥⊢⊲(↹⩛10121⩚⊴⇥↹⩛5314)","cot":[{"info":"↹⩛52355⩖⊿↹⩛44231=↹⩛240202","layer":1},{"info":"↹⩛10121⩚⊴⇥↹⩛5314=↹⩛-20200","layer":1},{"info":"↹⩛240202∥⊢⊲↹⩛-20200=NaN","layer":0}]}
{"id":291,"expression_no_base_symbol":"($1438$⪨≂$1620$)⪐","expression":"(↹⩛10354⪨≂↹⩛11300)⪐","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1438,"base":6},"right_expr":{"type":"numeric_atoms","value":1620,"base":6}}},"used_operators":["eH2TOUuTDT","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛-2232","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1438","layer":2},{"info":"number node, value=1620","layer":2},{"info":"compute binary expreesion, left_input=1438, right_input=1620, op_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":1},{"info":"compute unary expreesion, input=-262, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-524","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10354⪨≂↹⩛11300)⪐=↹⩛-2232","reverse_text":"↹⩛-2232=(↹⩛10354⪨≂↹⩛11300)⪐","cot":[{"info":"↹⩛10354⪨≂↹⩛11300=↹⩛-1114","layer":1},{"info":"↹⩛-1114⪐=↹⩛-2232","layer":0}]}
{"id":292,"expression_no_base_symbol":"$3970$⫰⋱$1099$⪁$2085$≝⊿$1133$","expression":"↹⩛30214⫰⋱↹⩛5031⪁↹⩛13353≝⊿↹⩛5125","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":408403041,"operation_count":3,"complexity_ratio":136134347.0,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":3970,"base":6},"right_expr":{"type":"numeric_atoms","value":1099,"base":6}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2085,"base":6},"right_expr":{"type":"numeric_atoms","value":1133,"base":6}}},"used_operators":["I7sXao9hZE","6o9Blt3TJ6","OKKcZfAt5B"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3970","layer":2},{"info":"number node, value=1099","layer":2},{"info":"compute binary expreesion, left_input=3970, right_input=1099, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-3937","layer":1},{"info":"number node, value=2085","layer":2},{"info":"number node, value=1133","layer":2},{"info":"compute binary expreesion, left_input=2085, right_input=1133, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-4884","layer":1},{"info":"compute binary expreesion, left_input=-3937, right_input=-4884, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛30214⫰⋱↹⩛5031⪁↹⩛13353≝⊿↹⩛5125=NaN","reverse_text":"NaN=↹⩛30214⫰⋱↹⩛5031⪁↹⩛13353≝⊿↹⩛5125","cot":[{"info":"↹⩛30214⫰⋱↹⩛5031=↹⩛-30121","layer":1},{"info":"↹⩛13353≝⊿↹⩛5125=↹⩛-34340","layer":1},{"info":"↹⩛-30121⪁↹⩛-34340=NaN","layer":0}]}
{"id":293,"expression_no_base_symbol":"$1036$+⇶⊼$1037$↸(⫓⪴$2668$)","expression":"↹⩛4444+⇶⊼↹⩛4445↸(⫓⪴↹⩛20204)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2673,"operation_count":3,"complexity_ratio":891.0,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1036,"base":6},"right_expr":{"type":"numeric_atoms","value":1037,"base":6}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2668,"base":6}}},"used_operators":["1eCjFl0mb9","TpPTUOHfaN","eLxqMNBOBk"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","AHs5Up7iyr","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1036","layer":2},{"info":"number node, value=1037","layer":2},{"info":"compute binary expreesion, left_input=1036, right_input=1037, 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=2668","layer":2},{"info":"compute unary expreesion, input=2668, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=7118224","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7118224, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛4444+⇶⊼↹⩛4445↸(⫓⪴↹⩛20204)=NaN","reverse_text":"NaN=↹⩛4444+⇶⊼↹⩛4445↸(⫓⪴↹⩛20204)","cot":[{"info":"↹⩛4444+⇶⊼↹⩛4445=NaN","layer":1},{"info":"⫓⪴↹⩛20204=↹⩛412322424","layer":1},{"info":"NaN↸↹⩛412322424=NaN","layer":0}]}
{"id":294,"expression_no_base_symbol":"($2234$↱$2543$)⋾⨃∁(↨⩢⫨$1260$)","expression":"(↹⩛14202↱↹⩛15435)⋾⨃∁(↨⩢⫨↹⩛5500)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":142,"operation_count":3,"complexity_ratio":47.333333333333336,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2234,"base":6},"right_expr":{"type":"numeric_atoms","value":2543,"base":6}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":1260,"base":6}}},"used_operators":["212REbPD9h","SR5kFfdi6N","Z5CJsN7DuW"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2234","layer":2},{"info":"number node, value=2543","layer":2},{"info":"compute binary expreesion, left_input=2234, right_input=2543, 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=-7107","layer":1},{"info":"number node, value=1260","layer":2},{"info":"compute unary expreesion, input=1260, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-7107, 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":0}],"base":6,"result_base":6,"text":"(↹⩛14202↱↹⩛15435)⋾⨃∁(↨⩢⫨↹⩛5500)=↹⩛424","reverse_text":"↹⩛424=(↹⩛14202↱↹⩛15435)⋾⨃∁(↨⩢⫨↹⩛5500)","cot":[{"info":"↹⩛14202↱↹⩛15435=↹⩛-52523","layer":1},{"info":"↨⩢⫨↹⩛5500=↹⩛0","layer":1},{"info":"↹⩛-52523⋾⨃∁↹⩛0=↹⩛424","layer":0}]}
{"id":295,"expression_no_base_symbol":"$2230$≳⇉$3022$⪔$2358$⊋$4180$","expression":"↹⩛14154≳⇉↹⩛21554⪔↹⩛14530⊋↹⩛31204","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":159813197,"operation_count":3,"complexity_ratio":53271065.666666664,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2230,"base":6},"right_expr":{"type":"numeric_atoms","value":3022,"base":6}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2358,"base":6},"right_expr":{"type":"numeric_atoms","value":4180,"base":6}}},"used_operators":["GjBEYRfMaF","V0kx6qeWkN","W4tP9CfskL"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2230","layer":2},{"info":"number node, value=3022","layer":2},{"info":"compute binary expreesion, left_input=2230, right_input=3022, 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=2358","layer":2},{"info":"number node, value=4180","layer":2},{"info":"compute binary expreesion, left_input=2358, right_input=4180, 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=-58475268","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-58475268, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛14154≳⇉↹⩛21554⪔↹⩛14530⊋↹⩛31204=NaN","reverse_text":"NaN=↹⩛14154≳⇉↹⩛21554⪔↹⩛14530⊋↹⩛31204","cot":[{"info":"↹⩛14154≳⇉↹⩛21554=NaN","layer":1},{"info":"↹⩛14530⊋↹⩛31204=↹⩛-5445154500","layer":1},{"info":"NaN⪔↹⩛-5445154500=NaN","layer":0}]}
{"id":296,"expression_no_base_symbol":"($3502$⫸⊐$2334$)↼⊘⨖$2398$⊬⨰$1668$","expression":"(↹⩛24114⫸⊐↹⩛14450)↼⊘⨖↹⩛15034⊬⨰↹⩛11420","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":39,"operation_count":3,"complexity_ratio":13.0,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3502,"base":6},"right_expr":{"type":"numeric_atoms","value":2334,"base":6}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2398,"base":6},"right_expr":{"type":"numeric_atoms","value":1668,"base":6}}},"used_operators":["bPywburJMS","mqXw5SEYmG","s3Fd5m9Dh2"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"↹⩛201102","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3502","layer":2},{"info":"number node, value=2334","layer":2},{"info":"compute binary expreesion, left_input=3502, right_input=2334, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9211","layer":1},{"info":"number node, value=2398","layer":2},{"info":"number node, value=1668","layer":2},{"info":"compute binary expreesion, left_input=2398, right_input=1668, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=8014","layer":1},{"info":"compute binary expreesion, left_input=9211, right_input=8014, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=15806","layer":0}],"base":6,"result_base":6,"text":"(↹⩛24114⫸⊐↹⩛14450)↼⊘⨖↹⩛15034⊬⨰↹⩛11420=↹⩛201102","reverse_text":"↹⩛201102=(↹⩛24114⫸⊐↹⩛14450)↼⊘⨖↹⩛15034⊬⨰↹⩛11420","cot":[{"info":"↹⩛24114⫸⊐↹⩛14450=↹⩛110351","layer":1},{"info":"↹⩛15034⊬⨰↹⩛11420=↹⩛101034","layer":1},{"info":"↹⩛110351↼⊘⨖↹⩛101034=↹⩛201102","layer":0}]}
{"id":297,"expression_no_base_symbol":"⇾⩊⇾($2148$⩖⊿$1901$)","expression":"⇾⩊⇾(↹⩛13540⩖⊿↹⩛12445)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":42,"operation_count":2,"complexity_ratio":21.0,"tree":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2148,"base":6},"right_expr":{"type":"numeric_atoms","value":1901,"base":6}}},"used_operators":["bx9Z9DAK5y","RZ5CV9rWsJ"],"dependent_operators":["W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"↹⩛-1222140","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2148","layer":2},{"info":"number node, value=1901","layer":2},{"info":"compute binary expreesion, left_input=2148, right_input=1901, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=6534","layer":1},{"info":"compute unary expreesion, input=6534, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-65292","layer":0}],"base":6,"result_base":6,"text":"⇾⩊⇾(↹⩛13540⩖⊿↹⩛12445)=↹⩛-1222140","reverse_text":"↹⩛-1222140=⇾⩊⇾(↹⩛13540⩖⊿↹⩛12445)","cot":[{"info":"↹⩛13540⩖⊿↹⩛12445=↹⩛50130","layer":1},{"info":"⇾⩊⇾↹⩛50130=↹⩛-1222140","layer":0}]}
{"id":298,"expression_no_base_symbol":"($7133$⫢⨠$5183$)⪬($4400$↬⩅∪)","expression":"(↹⩛53005⫢⨠↹⩛35555)⪬(↹⩛32212↬⩅∪)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":635,"operation_count":3,"complexity_ratio":211.66666666666666,"tree":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":7133,"base":6},"right_expr":{"type":"numeric_atoms","value":5183,"base":6}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":4400,"base":6}}},"used_operators":["Ez1Nq5fNfI","xlXykHWxX1","VJ330n2nnx"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG"],"result":"↹⩛5414","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7133","layer":2},{"info":"number node, value=5183","layer":2},{"info":"compute binary expreesion, left_input=7133, right_input=5183, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":1},{"info":"number node, value=4400","layer":2},{"info":"compute unary expreesion, input=4400, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-13200","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-13200, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":6,"result_base":6,"text":"(↹⩛53005⫢⨠↹⩛35555)⪬(↹⩛32212↬⩅∪)=↹⩛5414","reverse_text":"↹⩛5414=(↹⩛53005⫢⨠↹⩛35555)⪬(↹⩛32212↬⩅∪)","cot":[{"info":"↹⩛53005⫢⨠↹⩛35555=↹⩛424","layer":1},{"info":"↹⩛32212↬⩅∪=↹⩛-141040","layer":1},{"info":"↹⩛424⪬↹⩛-141040=↹⩛5414","layer":0}]}
{"id":299,"expression_no_base_symbol":"⩦⊞$4286$⋛$1810$","expression":"⩦⊞↹⩛31502⋛↹⩛12214","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":271,"operation_count":2,"complexity_ratio":135.5,"tree":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":4286,"base":6},"right_expr":{"type":"numeric_atoms","value":1810,"base":6}}},"used_operators":["u7fv1HBiaC","YbUVn0Rbpy"],"dependent_operators":["eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"↹⩛-4003032","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4286","layer":2},{"info":"number node, value=1810","layer":2},{"info":"compute binary expreesion, left_input=4286, right_input=1810, 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=-93618","layer":1},{"info":"compute unary expreesion, input=-93618, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-187292","layer":0}],"base":6,"result_base":6,"text":"⩦⊞↹⩛31502⋛↹⩛12214=↹⩛-4003032","reverse_text":"↹⩛-4003032=⩦⊞↹⩛31502⋛↹⩛12214","cot":[{"info":"↹⩛31502⋛↹⩛12214=↹⩛-2001230","layer":1},{"info":"⩦⊞↹⩛-2001230=↹⩛-4003032","layer":0}]}
{"id":300,"expression_no_base_symbol":"($6817$⫚↹⊑$1929$)≹⇙⪍($3286$⪭≯$6641$)","expression":"(↹⩛51321⫚↹⊑↹⩛12533)≹⇙⪍(↹⩛23114⪭≯↹⩛50425)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":199,"operation_count":3,"complexity_ratio":66.33333333333333,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":6817,"base":6},"right_expr":{"type":"numeric_atoms","value":1929,"base":6}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":3286,"base":6},"right_expr":{"type":"numeric_atoms","value":6641,"base":6}}},"used_operators":["AHs5Up7iyr","dfKe02y8D2","XAx5wpdLa6"],"dependent_operators":["dWAJyo7jo9","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=6817","layer":2},{"info":"number node, value=1929","layer":2},{"info":"compute binary expreesion, left_input=6817, right_input=1929, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"number node, value=3286","layer":2},{"info":"number node, value=6641","layer":2},{"info":"compute binary expreesion, left_input=3286, right_input=6641, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-447, 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":6,"result_base":6,"text":"(↹⩛51321⫚↹⊑↹⩛12533)≹⇙⪍(↹⩛23114⪭≯↹⩛50425)=NaN","reverse_text":"NaN=(↹⩛51321⫚↹⊑↹⩛12533)≹⇙⪍(↹⩛23114⪭≯↹⩛50425)","cot":[{"info":"↹⩛51321⫚↹⊑↹⩛12533=↹⩛-2023","layer":1},{"info":"↹⩛23114⪭≯↹⩛50425=NaN","layer":1},{"info":"↹⩛-2023≹⇙⪍NaN=NaN","layer":0}]}
{"id":301,"expression_no_base_symbol":"$4129$⊉↱≁$3009$⪕($6178$⨐⩸⫘$1098$)","expression":"↹⩛31041⊉↱≁↹⩛21533⪕(↹⩛44334⨐⩸⫘↹⩛5030)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":35,"operation_count":3,"complexity_ratio":11.666666666666666,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":4129,"base":6},"right_expr":{"type":"numeric_atoms","value":3009,"base":6}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6178,"base":6},"right_expr":{"type":"numeric_atoms","value":1098,"base":6}}},"used_operators":["umQnsF7QlU","w2P8NbNXyL","fu6greOZ01"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","3ViojmjbAp"],"result":"↹⩛4155","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4129","layer":2},{"info":"number node, value=3009","layer":2},{"info":"compute binary expreesion, left_input=4129, right_input=3009, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=23184","layer":1},{"info":"number node, value=6178","layer":2},{"info":"number node, value=1098","layer":2},{"info":"compute binary expreesion, left_input=6178, right_input=1098, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=23184, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":0}],"base":6,"result_base":6,"text":"↹⩛31041⊉↱≁↹⩛21533⪕(↹⩛44334⨐⩸⫘↹⩛5030)=↹⩛4155","reverse_text":"↹⩛4155=↹⩛31041⊉↱≁↹⩛21533⪕(↹⩛44334⨐⩸⫘↹⩛5030)","cot":[{"info":"↹⩛31041⊉↱≁↹⩛21533=↹⩛255200","layer":1},{"info":"↹⩛44334⨐⩸⫘↹⩛5030=NaN","layer":1},{"info":"↹⩛255200⪕NaN=↹⩛4155","layer":0}]}
{"id":302,"expression_no_base_symbol":"($5095$∙∹∝$1008$)∋($2504$⊋$4113$)","expression":"(↹⩛35331∙∹∝↹⩛4400)∋(↹⩛15332⊋↹⩛31013)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3284,"operation_count":3,"complexity_ratio":1094.6666666666667,"tree":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":5095,"base":6},"right_expr":{"type":"numeric_atoms","value":1008,"base":6}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2504,"base":6},"right_expr":{"type":"numeric_atoms","value":4113,"base":6}}},"used_operators":["ukq6epAj5P","HmxsFra2vL","W4tP9CfskL"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"↹⩛-1100520","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5095","layer":2},{"info":"number node, value=1008","layer":2},{"info":"compute binary expreesion, left_input=5095, right_input=1008, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=2504","layer":2},{"info":"number node, value=4113","layer":2},{"info":"compute binary expreesion, left_input=2504, right_input=4113, 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=-50648200","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-50648200, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-54624","layer":0}],"base":6,"result_base":6,"text":"(↹⩛35331∙∹∝↹⩛4400)∋(↹⩛15332⊋↹⩛31013)=↹⩛-1100520","reverse_text":"↹⩛-1100520=(↹⩛35331∙∹∝↹⩛4400)∋(↹⩛15332⊋↹⩛31013)","cot":[{"info":"↹⩛35331∙∹∝↹⩛4400=↹⩛0","layer":1},{"info":"↹⩛15332⊋↹⩛31013=↹⩛-5005322224","layer":1},{"info":"↹⩛0∋↹⩛-5005322224=↹⩛-1100520","layer":0}]}
{"id":303,"expression_no_base_symbol":"(⪛⨧$1354$)⩨$1313$⩌⋺$4446$","expression":"(⪛⨧↹⩛10134)⩨↹⩛10025⩌⋺↹⩛32330","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":18,"operation_count":3,"complexity_ratio":6.0,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":1354,"base":6}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1313,"base":6},"right_expr":{"type":"numeric_atoms","value":4446,"base":6}}},"used_operators":["2DlMacCsIx","6NJAcO2OWT","g7Hmc5v1ko"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"↹⩛10","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1354","layer":2},{"info":"compute unary expreesion, input=1354, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=4109","layer":1},{"info":"number node, value=1313","layer":2},{"info":"number node, value=4446","layer":2},{"info":"compute binary expreesion, left_input=1313, right_input=4446, 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=-5880","layer":1},{"info":"compute binary expreesion, left_input=4109, right_input=-5880, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=6","layer":0}],"base":6,"result_base":6,"text":"(⪛⨧↹⩛10134)⩨↹⩛10025⩌⋺↹⩛32330=↹⩛10","reverse_text":"↹⩛10=(⪛⨧↹⩛10134)⩨↹⩛10025⩌⋺↹⩛32330","cot":[{"info":"⪛⨧↹⩛10134=↹⩛31005","layer":1},{"info":"↹⩛10025⩌⋺↹⩛32330=↹⩛-43120","layer":1},{"info":"↹⩛31005⩨↹⩛-43120=↹⩛10","layer":0}]}
{"id":304,"expression_no_base_symbol":"($2532$⋳⪒$2520$)↤⩊($5159$⇂≾⫗$5244$)","expression":"(↹⩛15420⋳⪒↹⩛15400)↤⩊(↹⩛35515⇂≾⫗↹⩛40140)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":238,"operation_count":3,"complexity_ratio":79.33333333333333,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2532,"base":6},"right_expr":{"type":"numeric_atoms","value":2520,"base":6}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":5159,"base":6},"right_expr":{"type":"numeric_atoms","value":5244,"base":6}}},"used_operators":["13rbtpv6ld","12rbrZMWeM","aBQ6xLxuTc"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2532","layer":2},{"info":"number node, value=2520","layer":2},{"info":"compute binary expreesion, left_input=2532, right_input=2520, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2257","layer":1},{"info":"number node, value=5159","layer":2},{"info":"number node, value=5244","layer":2},{"info":"compute binary expreesion, left_input=5159, right_input=5244, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"compute binary expreesion, left_input=2257, right_input=-676, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛15420⋳⪒↹⩛15400)↤⩊(↹⩛35515⇂≾⫗↹⩛40140)=NaN","reverse_text":"NaN=(↹⩛15420⋳⪒↹⩛15400)↤⩊(↹⩛35515⇂≾⫗↹⩛40140)","cot":[{"info":"↹⩛15420⋳⪒↹⩛15400=↹⩛14241","layer":1},{"info":"↹⩛35515⇂≾⫗↹⩛40140=↹⩛-3044","layer":1},{"info":"↹⩛14241↤⩊↹⩛-3044=NaN","layer":0}]}
{"id":305,"expression_no_base_symbol":"($3233$⪗)⨽($1502$≀⩗∶$2151$)","expression":"(↹⩛22545⪗)⨽(↹⩛10542≀⩗∶↹⩛13543)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3256,"operation_count":3,"complexity_ratio":1085.3333333333333,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":3233,"base":6}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1502,"base":6},"right_expr":{"type":"numeric_atoms","value":2151,"base":6}}},"used_operators":["8HhzD0ZcuI","VEQNXA0ZBg","8INZBEW696"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3233","layer":2},{"info":"compute unary expreesion, input=3233, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":1},{"info":"number node, value=1502","layer":2},{"info":"number node, value=2151","layer":2},{"info":"compute binary expreesion, left_input=1502, right_input=2151, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛22545⪗)⨽(↹⩛10542≀⩗∶↹⩛13543)=NaN","reverse_text":"NaN=(↹⩛22545⪗)⨽(↹⩛10542≀⩗∶↹⩛13543)","cot":[{"info":"↹⩛22545⪗=NaN","layer":1},{"info":"↹⩛10542≀⩗∶↹⩛13543=↹⩛-3","layer":1},{"info":"NaN⨽↹⩛-3=NaN","layer":0}]}
{"id":306,"expression_no_base_symbol":"($4678$⨐⩸⫘$2983$)↓($2114$⪁$1822$)","expression":"(↹⩛33354⨐⩸⫘↹⩛21451)↓(↹⩛13442⪁↹⩛12234)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":44782482,"operation_count":3,"complexity_ratio":14927494.0,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4678,"base":6},"right_expr":{"type":"numeric_atoms","value":2983,"base":6}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":2114,"base":6},"right_expr":{"type":"numeric_atoms","value":1822,"base":6}}},"used_operators":["Af076pWI7l","fu6greOZ01","I7sXao9hZE"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","3ViojmjbAp","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"↹⩛-342","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4678","layer":2},{"info":"number node, value=2983","layer":2},{"info":"compute binary expreesion, left_input=4678, right_input=2983, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2114","layer":2},{"info":"number node, value=1822","layer":2},{"info":"compute binary expreesion, left_input=2114, right_input=1822, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', 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":6,"result_base":6,"text":"(↹⩛33354⨐⩸⫘↹⩛21451)↓(↹⩛13442⪁↹⩛12234)=↹⩛-342","reverse_text":"↹⩛-342=(↹⩛33354⨐⩸⫘↹⩛21451)↓(↹⩛13442⪁↹⩛12234)","cot":[{"info":"↹⩛33354⨐⩸⫘↹⩛21451=NaN","layer":1},{"info":"↹⩛13442⪁↹⩛12234=NaN","layer":1},{"info":"NaN↓NaN=↹⩛-342","layer":0}]}
{"id":307,"expression_no_base_symbol":"⪭⩑⪱($2760$⫰⋱$8333$)","expression":"⪭⩑⪱(↹⩛20440⫰⋱↹⩛102325)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":257397,"operation_count":2,"complexity_ratio":128698.5,"tree":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2760,"base":6},"right_expr":{"type":"numeric_atoms","value":8333,"base":6}}},"used_operators":["SIgE0bArFf","6o9Blt3TJ6"],"dependent_operators":["FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"↹⩛454202000","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2760","layer":2},{"info":"number node, value=8333","layer":2},{"info":"compute binary expreesion, left_input=2760, right_input=8333, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2727","layer":1},{"info":"compute unary expreesion, input=-2727, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":0}],"base":6,"result_base":6,"text":"⪭⩑⪱(↹⩛20440⫰⋱↹⩛102325)=↹⩛454202000","reverse_text":"↹⩛454202000=⪭⩑⪱(↹⩛20440⫰⋱↹⩛102325)","cot":[{"info":"↹⩛20440⫰⋱↹⩛102325=↹⩛-20343","layer":1},{"info":"⪭⩑⪱↹⩛-20343=↹⩛454202000","layer":0}]}
{"id":308,"expression_no_base_symbol":"$2874$⪃⊛⇣$1283$⪮%⊝$3732$⪟⇏$3504$","expression":"↹⩛21150⪃⊛⇣↹⩛5535⪮%⊝↹⩛25140⪟⇏↹⩛24120","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":608,"operation_count":3,"complexity_ratio":202.66666666666666,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2874,"base":6},"right_expr":{"type":"numeric_atoms","value":1283,"base":6}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":3732,"base":6},"right_expr":{"type":"numeric_atoms","value":3504,"base":6}}},"used_operators":["IWmyXbctLI","rrgAzCduG9","GODebY97qR"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"↹⩛20520","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2874","layer":2},{"info":"number node, value=1283","layer":2},{"info":"compute binary expreesion, left_input=2874, right_input=1283, 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=3732","layer":2},{"info":"number node, value=3504","layer":2},{"info":"compute binary expreesion, left_input=3732, right_input=3504, 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=1234, right_input=-1, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2784","layer":0}],"base":6,"result_base":6,"text":"↹⩛21150⪃⊛⇣↹⩛5535⪮%⊝↹⩛25140⪟⇏↹⩛24120=↹⩛20520","reverse_text":"↹⩛20520=↹⩛21150⪃⊛⇣↹⩛5535⪮%⊝↹⩛25140⪟⇏↹⩛24120","cot":[{"info":"↹⩛21150⪃⊛⇣↹⩛5535=↹⩛5414","layer":1},{"info":"↹⩛25140⪟⇏↹⩛24120=↹⩛-1","layer":1},{"info":"↹⩛5414⪮%⊝↹⩛-1=↹⩛20520","layer":0}]}
{"id":309,"expression_no_base_symbol":"$1245$⊲⩕⊾$2244$*(↘$1162$)","expression":"↹⩛5433⊲⩕⊾↹⩛14220*(↘↹⩛5214)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":408,"operation_count":3,"complexity_ratio":136.0,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1245,"base":6},"right_expr":{"type":"numeric_atoms","value":2244,"base":6}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":1162,"base":6}}},"used_operators":["9HNa5Wba9A","DmTXOeWf9t","LdNpr8hQHL"],"dependent_operators":["W4YGzv6Whe","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","uFcxV4UQCh"],"result":"↹⩛-1243520300","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1245","layer":2},{"info":"number node, value=2244","layer":2},{"info":"compute binary expreesion, left_input=1245, right_input=2244, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-38990","layer":1},{"info":"number node, value=1162","layer":2},{"info":"compute unary expreesion, input=1162, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=378","layer":1},{"info":"compute binary expreesion, left_input=-38990, right_input=378, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-14738220","layer":0}],"base":6,"result_base":6,"text":"↹⩛5433⊲⩕⊾↹⩛14220*(↘↹⩛5214)=↹⩛-1243520300","reverse_text":"↹⩛-1243520300=↹⩛5433⊲⩕⊾↹⩛14220*(↘↹⩛5214)","cot":[{"info":"↹⩛5433⊲⩕⊾↹⩛14220=↹⩛-500302","layer":1},{"info":"↘↹⩛5214=↹⩛1430","layer":1},{"info":"↹⩛-500302*↹⩛1430=↹⩛-1243520300","layer":0}]}
{"id":310,"expression_no_base_symbol":"$1173$⩦$1035$⪶≀⋏$1474$⨽∌$1805$","expression":"↹⩛5233⩦↹⩛4443⪶≀⋏↹⩛10454⨽∌↹⩛12205","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":84,"operation_count":3,"complexity_ratio":28.0,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1173,"base":6},"right_expr":{"type":"numeric_atoms","value":1035,"base":6}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1474,"base":6},"right_expr":{"type":"numeric_atoms","value":1805,"base":6}}},"used_operators":["zR4jO40bMj","0kmYd0q39Y","9samAPKr6k"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"↹⩛-53354","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1173","layer":2},{"info":"number node, value=1035","layer":2},{"info":"compute binary expreesion, left_input=1173, right_input=1035, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2346","layer":1},{"info":"number node, value=1474","layer":2},{"info":"number node, value=1805","layer":2},{"info":"compute binary expreesion, left_input=1474, right_input=1805, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=2346, 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=-7270","layer":0}],"base":6,"result_base":6,"text":"↹⩛5233⩦↹⩛4443⪶≀⋏↹⩛10454⨽∌↹⩛12205=↹⩛-53354","reverse_text":"↹⩛-53354=↹⩛5233⩦↹⩛4443⪶≀⋏↹⩛10454⨽∌↹⩛12205","cot":[{"info":"↹⩛5233⩦↹⩛4443=↹⩛14510","layer":1},{"info":"↹⩛10454⨽∌↹⩛12205=↹⩛0","layer":1},{"info":"↹⩛14510⪶≀⋏↹⩛0=↹⩛-53354","layer":0}]}
{"id":311,"expression_no_base_symbol":"$1320$⨔⇊$3747$↱($1823$↯⫤)","expression":"↹⩛10040⨔⇊↹⩛25203↱(↹⩛12235↯⫤)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":65,"operation_count":3,"complexity_ratio":21.666666666666668,"tree":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1320,"base":6},"right_expr":{"type":"numeric_atoms","value":3747,"base":6}},"right_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":1823,"base":6}}},"used_operators":["SR5kFfdi6N","JclMnS0uGI","VwlE7vj6HS"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx"],"result":"↹⩛200314","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1320","layer":2},{"info":"number node, value=3747","layer":2},{"info":"compute binary expreesion, left_input=1320, right_input=3747, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=3747","layer":1},{"info":"number node, value=1823","layer":2},{"info":"compute unary expreesion, input=1823, 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=3747, 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":6,"result_base":6,"text":"↹⩛10040⨔⇊↹⩛25203↱(↹⩛12235↯⫤)=↹⩛200314","reverse_text":"↹⩛200314=↹⩛10040⨔⇊↹⩛25203↱(↹⩛12235↯⫤)","cot":[{"info":"↹⩛10040⨔⇊↹⩛25203=↹⩛25203","layer":1},{"info":"↹⩛12235↯⫤=↹⩛0","layer":1},{"info":"↹⩛25203↱↹⩛0=↹⩛200314","layer":0}]}
{"id":312,"expression_no_base_symbol":"⨴⫝($2835$⨱∎)","expression":"⨴⫝(↹⩛21043⨱∎)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1821,"operation_count":2,"complexity_ratio":910.5,"tree":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":2835,"base":6}}},"used_operators":["SVb2v531z1","MmTdOpaElr"],"dependent_operators":["oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","tifHPKVTfV"],"result":"↹⩛140341302","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2835","layer":2},{"info":"compute unary expreesion, input=2835, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":0}],"base":6,"result_base":6,"text":"⨴⫝(↹⩛21043⨱∎)=↹⩛140341302","reverse_text":"↹⩛140341302=⨴⫝(↹⩛21043⨱∎)","cot":[{"info":"↹⩛21043⨱∎=↹⩛0","layer":1},{"info":"⨴⫝↹⩛0=↹⩛140341302","layer":0}]}
{"id":313,"expression_no_base_symbol":"$1601$⩖⊿$2538$∇⊂⋱(≑⋹$1702$)","expression":"↹⩛11225⩖⊿↹⩛15430∇⊂⋱(≑⋹↹⩛11514)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":148,"operation_count":3,"complexity_ratio":49.333333333333336,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1601,"base":6},"right_expr":{"type":"numeric_atoms","value":2538,"base":6}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1702,"base":6}}},"used_operators":["nhYeJWJD5X","RZ5CV9rWsJ","6B9nyZLogK"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C"],"result":"↹⩛325230","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1601","layer":2},{"info":"number node, value=2538","layer":2},{"info":"compute binary expreesion, left_input=1601, right_input=2538, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=13818","layer":1},{"info":"number node, value=1702","layer":2},{"info":"compute unary expreesion, input=1702, 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=13818, right_input=1650, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=27090","layer":0}],"base":6,"result_base":6,"text":"↹⩛11225⩖⊿↹⩛15430∇⊂⋱(≑⋹↹⩛11514)=↹⩛325230","reverse_text":"↹⩛325230=↹⩛11225⩖⊿↹⩛15430∇⊂⋱(≑⋹↹⩛11514)","cot":[{"info":"↹⩛11225⩖⊿↹⩛15430=↹⩛143550","layer":1},{"info":"≑⋹↹⩛11514=↹⩛11350","layer":1},{"info":"↹⩛143550∇⊂⋱↹⩛11350=↹⩛325230","layer":0}]}
{"id":314,"expression_no_base_symbol":"$3275$⩚⊴⇥$3479$⋻⩜⩜$6684$⪉⨛$1293$","expression":"↹⩛23055⩚⊴⇥↹⩛24035⋻⩜⩜↹⩛50540⪉⨛↹⩛5553","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":135,"operation_count":3,"complexity_ratio":45.0,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3275,"base":6},"right_expr":{"type":"numeric_atoms","value":3479,"base":6}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":6684,"base":6},"right_expr":{"type":"numeric_atoms","value":1293,"base":6}}},"used_operators":["oDCm7WA9JY","NTOWxs364D","EWw2JM7wp4"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"↹⩛344120","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3275","layer":2},{"info":"number node, value=3479","layer":2},{"info":"compute binary expreesion, left_input=3275, right_input=3479, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6875","layer":1},{"info":"number node, value=6684","layer":2},{"info":"number node, value=1293","layer":2},{"info":"compute binary expreesion, left_input=6684, right_input=1293, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=18974","layer":1},{"info":"compute binary expreesion, left_input=-6875, right_input=18974, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=29424","layer":0}],"base":6,"result_base":6,"text":"↹⩛23055⩚⊴⇥↹⩛24035⋻⩜⩜↹⩛50540⪉⨛↹⩛5553=↹⩛344120","reverse_text":"↹⩛344120=↹⩛23055⩚⊴⇥↹⩛24035⋻⩜⩜↹⩛50540⪉⨛↹⩛5553","cot":[{"info":"↹⩛23055⩚⊴⇥↹⩛24035=↹⩛-51455","layer":1},{"info":"↹⩛50540⪉⨛↹⩛5553=↹⩛223502","layer":1},{"info":"↹⩛-51455⋻⩜⩜↹⩛223502=↹⩛344120","layer":0}]}
{"id":315,"expression_no_base_symbol":"↩($4642$⩠)","expression":"↩(↹⩛33254⩠)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":37,"operation_count":2,"complexity_ratio":18.5,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":4642,"base":6}}},"used_operators":["jLgFTUHLKL","sJAwomhLZr"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"↹⩛34232","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4642","layer":2},{"info":"compute unary expreesion, input=4642, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4844","layer":0}],"base":6,"result_base":6,"text":"↩(↹⩛33254⩠)=↹⩛34232","reverse_text":"↹⩛34232=↩(↹⩛33254⩠)","cot":[{"info":"↹⩛33254⩠=↹⩛0","layer":1},{"info":"↩↹⩛0=↹⩛34232","layer":0}]}
{"id":316,"expression_no_base_symbol":"($2686$⊋$1520$)⨸($6111$⋭≵$1504$)","expression":"(↹⩛20234⊋↹⩛11012)⨸(↹⩛44143⋭≵↹⩛10544)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2608,"operation_count":3,"complexity_ratio":869.3333333333334,"tree":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2686,"base":6},"right_expr":{"type":"numeric_atoms","value":1520,"base":6}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":6111,"base":6},"right_expr":{"type":"numeric_atoms","value":1504,"base":6}}},"used_operators":["KmoU8R5UQR","W4tP9CfskL","jBncVCNhdl"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2686","layer":2},{"info":"number node, value=1520","layer":2},{"info":"compute binary expreesion, left_input=2686, right_input=1520, 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=13876780","layer":1},{"info":"number node, value=6111","layer":2},{"info":"number node, value=1504","layer":2},{"info":"compute binary expreesion, left_input=6111, right_input=1504, 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=13876780, right_input=67, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛20234⊋↹⩛11012)⨸(↹⩛44143⋭≵↹⩛10544)=NaN","reverse_text":"NaN=(↹⩛20234⊋↹⩛11012)⨸(↹⩛44143⋭≵↹⩛10544)","cot":[{"info":"↹⩛20234⊋↹⩛11012=↹⩛1213232204","layer":1},{"info":"↹⩛44143⋭≵↹⩛10544=↹⩛151","layer":1},{"info":"↹⩛1213232204⨸↹⩛151=NaN","layer":0}]}
{"id":317,"expression_no_base_symbol":"(⩦⩻⨪$2432$)⫡⨏$4652$⫯⪬∳$1457$","expression":"(⩦⩻⨪↹⩛15132)⫡⨏↹⩛33312⫯⪬∳↹⩛10425","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22,"operation_count":3,"complexity_ratio":7.333333333333333,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2432,"base":6}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":4652,"base":6},"right_expr":{"type":"numeric_atoms","value":1457,"base":6}}},"used_operators":["QMFrweE19q","2td37pGCOC","d7ASUq0ydm"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"↹⩛1114035","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2432","layer":2},{"info":"compute unary expreesion, input=2432, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2432","layer":1},{"info":"number node, value=4652","layer":2},{"info":"number node, value=1457","layer":2},{"info":"compute binary expreesion, left_input=4652, right_input=1457, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=21836","layer":1},{"info":"compute binary expreesion, left_input=2432, right_input=21836, 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=56615","layer":0}],"base":6,"result_base":6,"text":"(⩦⩻⨪↹⩛15132)⫡⨏↹⩛33312⫯⪬∳↹⩛10425=↹⩛1114035","reverse_text":"↹⩛1114035=(⩦⩻⨪↹⩛15132)⫡⨏↹⩛33312⫯⪬∳↹⩛10425","cot":[{"info":"⩦⩻⨪↹⩛15132=↹⩛15132","layer":1},{"info":"↹⩛33312⫯⪬∳↹⩛10425=↹⩛245032","layer":1},{"info":"↹⩛15132⫡⨏↹⩛245032=↹⩛1114035","layer":0}]}
{"id":318,"expression_no_base_symbol":"$1271$⨑⩅≇$2987$⨌↪","expression":"↹⩛5515⨑⩅≇↹⩛21455⨌↪","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3051,"operation_count":2,"complexity_ratio":1525.5,"tree":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1271,"base":6},"right_expr":{"type":"numeric_atoms","value":2987,"base":6}}},"used_operators":["cWQsF5MvuD","h92wMvzauj"],"dependent_operators":["8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"↹⩛-2120","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1271","layer":2},{"info":"number node, value=2987","layer":2},{"info":"compute binary expreesion, left_input=1271, right_input=2987, 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=-3813","layer":1},{"info":"compute unary expreesion, input=-3813, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":0}],"base":6,"result_base":6,"text":"↹⩛5515⨑⩅≇↹⩛21455⨌↪=↹⩛-2120","reverse_text":"↹⩛-2120=↹⩛5515⨑⩅≇↹⩛21455⨌↪","cot":[{"info":"↹⩛5515⨑⩅≇↹⩛21455=↹⩛-25353","layer":1},{"info":"↹⩛-25353⨌↪=↹⩛-2120","layer":0}]}
{"id":319,"expression_no_base_symbol":"$3097$⨿$1088$∥⊢⊲($2964$%$2516$)","expression":"↹⩛22201⨿↹⩛5012∥⊢⊲(↹⩛21420%↹⩛15352)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2340,"operation_count":3,"complexity_ratio":780.0,"tree":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":3097,"base":6},"right_expr":{"type":"numeric_atoms","value":1088,"base":6}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2964,"base":6},"right_expr":{"type":"numeric_atoms","value":2516,"base":6}}},"used_operators":["v1UQAVDJRr","abYXlopdE0","k8jYdgA6NY"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","rysDP5nf3Z"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3097","layer":2},{"info":"number node, value=1088","layer":2},{"info":"compute binary expreesion, left_input=3097, right_input=1088, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":1},{"info":"number node, value=2964","layer":2},{"info":"number node, value=2516","layer":2},{"info":"compute binary expreesion, left_input=2964, right_input=2516, op_id = k8jYdgA6NY binary_op_definition= 'None', output=448","layer":1},{"info":"compute binary expreesion, left_input=-319, right_input=448, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"↹⩛22201⨿↹⩛5012∥⊢⊲(↹⩛21420%↹⩛15352)=↹⩛0","reverse_text":"↹⩛0=↹⩛22201⨿↹⩛5012∥⊢⊲(↹⩛21420%↹⩛15352)","cot":[{"info":"↹⩛22201⨿↹⩛5012=↹⩛-1251","layer":1},{"info":"↹⩛21420%↹⩛15352=↹⩛2024","layer":1},{"info":"↹⩛-1251∥⊢⊲↹⩛2024=↹⩛0","layer":0}]}
{"id":320,"expression_no_base_symbol":"⇘$7463$⇂≾⫗$8493$","expression":"⇘↹⩛54315⇂≾⫗↹⩛103153","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1453,"operation_count":2,"complexity_ratio":726.5,"tree":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":7463,"base":6},"right_expr":{"type":"numeric_atoms","value":8493,"base":6}}},"used_operators":["MGuIdZPyUC","aBQ6xLxuTc"],"dependent_operators":["eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"↹⩛-1313000025","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7463","layer":2},{"info":"number node, value=8493","layer":2},{"info":"compute binary expreesion, left_input=7463, right_input=8493, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"compute unary expreesion, input=-676, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-15536465","layer":0}],"base":6,"result_base":6,"text":"⇘↹⩛54315⇂≾⫗↹⩛103153=↹⩛-1313000025","reverse_text":"↹⩛-1313000025=⇘↹⩛54315⇂≾⫗↹⩛103153","cot":[{"info":"↹⩛54315⇂≾⫗↹⩛103153=↹⩛-3044","layer":1},{"info":"⇘↹⩛-3044=↹⩛-1313000025","layer":0}]}
{"id":321,"expression_no_base_symbol":"↴⪽⋼$1924$⊱⇼⊻$4857$","expression":"↴⪽⋼↹⩛12524⊱⇼⊻↹⩛34253","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1924,"base":6},"right_expr":{"type":"numeric_atoms","value":4857,"base":6}}},"used_operators":["5TUYCnJO6w","FyVja0WsTP"],"dependent_operators":["MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"↹⩛2002","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1924","layer":2},{"info":"number node, value=4857","layer":2},{"info":"compute binary expreesion, left_input=1924, right_input=4857, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":1},{"info":"compute unary expreesion, input=434, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=434","layer":0}],"base":6,"result_base":6,"text":"↴⪽⋼↹⩛12524⊱⇼⊻↹⩛34253=↹⩛2002","reverse_text":"↹⩛2002=↴⪽⋼↹⩛12524⊱⇼⊻↹⩛34253","cot":[{"info":"↹⩛12524⊱⇼⊻↹⩛34253=↹⩛2002","layer":1},{"info":"↴⪽⋼↹⩛2002=↹⩛2002","layer":0}]}
{"id":322,"expression_no_base_symbol":"($2883$↙$5840$)⊱⇼⊻$2208$↞⋁$3416$","expression":"(↹⩛21203↙↹⩛43012)⊱⇼⊻↹⩛14120↞⋁↹⩛23452","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6024,"operation_count":3,"complexity_ratio":2008.0,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2883,"base":6},"right_expr":{"type":"numeric_atoms","value":5840,"base":6}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2208,"base":6},"right_expr":{"type":"numeric_atoms","value":3416,"base":6}}},"used_operators":["FyVja0WsTP","yyfyN0ffXY","RqrPlJkxDo"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","tmPS8pqC7x","DpFCA1CohY","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"↹⩛1301220","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2883","layer":2},{"info":"number node, value=5840","layer":2},{"info":"compute binary expreesion, left_input=2883, right_input=5840, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-17520","layer":1},{"info":"number node, value=2208","layer":2},{"info":"number node, value=3416","layer":2},{"info":"compute binary expreesion, left_input=2208, right_input=3416, 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=-17520, right_input=nan, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=70284","layer":0}],"base":6,"result_base":6,"text":"(↹⩛21203↙↹⩛43012)⊱⇼⊻↹⩛14120↞⋁↹⩛23452=↹⩛1301220","reverse_text":"↹⩛1301220=(↹⩛21203↙↹⩛43012)⊱⇼⊻↹⩛14120↞⋁↹⩛23452","cot":[{"info":"↹⩛21203↙↹⩛43012=↹⩛-213040","layer":1},{"info":"↹⩛14120↞⋁↹⩛23452=NaN","layer":1},{"info":"↹⩛-213040⊱⇼⊻NaN=↹⩛1301220","layer":0}]}
{"id":323,"expression_no_base_symbol":"($5093$⨝⩣∺)*$5131$≳⇉$1235$","expression":"(↹⩛35325⨝⩣∺)*↹⩛35431≳⇉↹⩛5415","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":926804,"operation_count":3,"complexity_ratio":308934.6666666667,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":5093,"base":6}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":5131,"base":6},"right_expr":{"type":"numeric_atoms","value":1235,"base":6}}},"used_operators":["9HNa5Wba9A","ancx8kZcWl","V0kx6qeWkN"],"dependent_operators":["W4YGzv6Whe","DZ8iAZOCBD","t8gj7n24qd","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5093","layer":2},{"info":"compute unary expreesion, input=5093, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-10186","layer":1},{"info":"number node, value=5131","layer":2},{"info":"number node, value=1235","layer":2},{"info":"compute binary expreesion, left_input=5131, right_input=1235, 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=-10186, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛35325⨝⩣∺)*↹⩛35431≳⇉↹⩛5415=NaN","reverse_text":"NaN=(↹⩛35325⨝⩣∺)*↹⩛35431≳⇉↹⩛5415","cot":[{"info":"↹⩛35325⨝⩣∺=↹⩛-115054","layer":1},{"info":"↹⩛35431≳⇉↹⩛5415=NaN","layer":1},{"info":"↹⩛-115054*NaN=NaN","layer":0}]}
{"id":324,"expression_no_base_symbol":"(∡$2409$)⨸($1107$⇼⇔∾$1605$)","expression":"(∡↹⩛15053)⨸(↹⩛5043⇼⇔∾↹⩛11233)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2532,"operation_count":3,"complexity_ratio":844.0,"tree":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":2409,"base":6}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1107,"base":6},"right_expr":{"type":"numeric_atoms","value":1605,"base":6}}},"used_operators":["KmoU8R5UQR","pRsWfj4Fpp","tifHPKVTfV"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛34150","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2409","layer":2},{"info":"compute unary expreesion, input=2409, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-2409","layer":1},{"info":"number node, value=1107","layer":2},{"info":"number node, value=1605","layer":2},{"info":"compute binary expreesion, left_input=1107, right_input=1605, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=498","layer":1},{"info":"compute binary expreesion, left_input=-2409, right_input=498, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=4818","layer":0}],"base":6,"result_base":6,"text":"(∡↹⩛15053)⨸(↹⩛5043⇼⇔∾↹⩛11233)=↹⩛34150","reverse_text":"↹⩛34150=(∡↹⩛15053)⨸(↹⩛5043⇼⇔∾↹⩛11233)","cot":[{"info":"∡↹⩛15053=↹⩛-15053","layer":1},{"info":"↹⩛5043⇼⇔∾↹⩛11233=↹⩛2150","layer":1},{"info":"↹⩛-15053⨸↹⩛2150=↹⩛34150","layer":0}]}
{"id":325,"expression_no_base_symbol":"($4525$⨵⪆$1260$)⨘","expression":"(↹⩛32541⨵⪆↹⩛5500)⨘","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":174,"operation_count":2,"complexity_ratio":87.0,"tree":{"type":"unary","operator":"⨘","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4525,"base":6},"right_expr":{"type":"numeric_atoms","value":1260,"base":6}}},"used_operators":["ljcfZBUpm8","2DQ55sFlQl"],"dependent_operators":["40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛-12435","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4525","layer":2},{"info":"number node, value=1260","layer":2},{"info":"compute binary expreesion, left_input=4525, right_input=1260, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-1895","layer":0}],"base":6,"result_base":6,"text":"(↹⩛32541⨵⪆↹⩛5500)⨘=↹⩛-12435","reverse_text":"↹⩛-12435=(↹⩛32541⨵⪆↹⩛5500)⨘","cot":[{"info":"↹⩛32541⨵⪆↹⩛5500=↹⩛424","layer":1},{"info":"↹⩛424⨘=↹⩛-12435","layer":0}]}
{"id":326,"expression_no_base_symbol":"($1834$⪛⫼$1309$)∠↢$2602$⊋$1166$","expression":"(↹⩛12254⪛⫼↹⩛10021)∠↢↹⩛20014⊋↹⩛5222","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3104,"operation_count":3,"complexity_ratio":1034.6666666666667,"tree":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1834,"base":6},"right_expr":{"type":"numeric_atoms","value":1309,"base":6}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2602,"base":6},"right_expr":{"type":"numeric_atoms","value":1166,"base":6}}},"used_operators":["KbjG8mgYpV","hyuBjUqXlG","W4tP9CfskL"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"↹⩛-25443335222","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1834","layer":2},{"info":"number node, value=1309","layer":2},{"info":"compute binary expreesion, left_input=1834, right_input=1309, 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=2602","layer":2},{"info":"number node, value=1166","layer":2},{"info":"compute binary expreesion, left_input=2602, right_input=1166, 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=12808900","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=12808900, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-179327390","layer":0}],"base":6,"result_base":6,"text":"(↹⩛12254⪛⫼↹⩛10021)∠↢↹⩛20014⊋↹⩛5222=↹⩛-25443335222","reverse_text":"↹⩛-25443335222=(↹⩛12254⪛⫼↹⩛10021)∠↢↹⩛20014⊋↹⩛5222","cot":[{"info":"↹⩛12254⪛⫼↹⩛10021=↹⩛4252","layer":1},{"info":"↹⩛20014⊋↹⩛5222=↹⩛1134312244","layer":1},{"info":"↹⩛4252∠↢↹⩛1134312244=↹⩛-25443335222","layer":0}]}
{"id":327,"expression_no_base_symbol":"(⇺⋃$1274$)⪮%⊝($1341$⪶≀⋏$7195$)","expression":"(⇺⋃↹⩛5522)⪮%⊝(↹⩛10113⪶≀⋏↹⩛53151)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":76,"operation_count":3,"complexity_ratio":25.333333333333332,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":1274,"base":6}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1341,"base":6},"right_expr":{"type":"numeric_atoms","value":7195,"base":6}}},"used_operators":["IWmyXbctLI","E5v5B3UAjG","zR4jO40bMj"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1274","layer":2},{"info":"compute unary expreesion, input=1274, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":1},{"info":"number node, value=1341","layer":2},{"info":"number node, value=7195","layer":2},{"info":"compute binary expreesion, left_input=1341, right_input=7195, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-18645","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-18645, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⇺⋃↹⩛5522)⪮%⊝(↹⩛10113⪶≀⋏↹⩛53151)=NaN","reverse_text":"NaN=(⇺⋃↹⩛5522)⪮%⊝(↹⩛10113⪶≀⋏↹⩛53151)","cot":[{"info":"⇺⋃↹⩛5522=NaN","layer":1},{"info":"↹⩛10113⪶≀⋏↹⩛53151=↹⩛-222153","layer":1},{"info":"NaN⪮%⊝↹⩛-222153=NaN","layer":0}]}
{"id":328,"expression_no_base_symbol":"∑⇻≧($3048$⋘⨑⨽)","expression":"∑⇻≧(↹⩛22040⋘⨑⨽)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16,"operation_count":2,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":3048,"base":6}}},"used_operators":["l1M9WJ3V7u","WmT3o8z6ya"],"dependent_operators":["23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q"],"result":"↹⩛-3540","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3048","layer":2},{"info":"compute unary expreesion, input=3048, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=16023","layer":1},{"info":"compute unary expreesion, input=16023, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":0}],"base":6,"result_base":6,"text":"∑⇻≧(↹⩛22040⋘⨑⨽)=↹⩛-3540","reverse_text":"↹⩛-3540=∑⇻≧(↹⩛22040⋘⨑⨽)","cot":[{"info":"↹⩛22040⋘⨑⨽=↹⩛202103","layer":1},{"info":"∑⇻≧↹⩛202103=↹⩛-3540","layer":0}]}
{"id":329,"expression_no_base_symbol":"↴⪽⋼(⫓⪴$4953$)","expression":"↴⪽⋼(⫓⪴↹⩛34533)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4954,"operation_count":2,"complexity_ratio":2477.0,"tree":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4953,"base":6}}},"used_operators":["5TUYCnJO6w","eLxqMNBOBk"],"dependent_operators":["MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","9HNa5Wba9A"],"result":"↹⩛2233451013","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4953","layer":2},{"info":"compute unary expreesion, input=4953, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=24532209","layer":1},{"info":"compute unary expreesion, input=24532209, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=24532209","layer":0}],"base":6,"result_base":6,"text":"↴⪽⋼(⫓⪴↹⩛34533)=↹⩛2233451013","reverse_text":"↹⩛2233451013=↴⪽⋼(⫓⪴↹⩛34533)","cot":[{"info":"⫓⪴↹⩛34533=↹⩛2233451013","layer":1},{"info":"↴⪽⋼↹⩛2233451013=↹⩛2233451013","layer":0}]}
{"id":330,"expression_no_base_symbol":"$1014$↢$1125$≥⨤⩑$3672$⊝⪿⪼$2830$","expression":"↹⩛4410↢↹⩛5113≥⨤⩑↹⩛25000⊝⪿⪼↹⩛21034","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":45,"operation_count":3,"complexity_ratio":15.0,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1014,"base":6},"right_expr":{"type":"numeric_atoms","value":1125,"base":6}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3672,"base":6},"right_expr":{"type":"numeric_atoms","value":2830,"base":6}}},"used_operators":["gJLn6v0xnP","WR6HLWljOP","3Oe9XWJUTD"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"↹⩛5414","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1014","layer":2},{"info":"number node, value=1125","layer":2},{"info":"compute binary expreesion, left_input=1014, right_input=1125, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=530","layer":1},{"info":"number node, value=3672","layer":2},{"info":"number node, value=2830","layer":2},{"info":"compute binary expreesion, left_input=3672, right_input=2830, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=51920","layer":1},{"info":"compute binary expreesion, left_input=530, right_input=51920, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":6,"result_base":6,"text":"↹⩛4410↢↹⩛5113≥⨤⩑↹⩛25000⊝⪿⪼↹⩛21034=↹⩛5414","reverse_text":"↹⩛5414=↹⩛4410↢↹⩛5113≥⨤⩑↹⩛25000⊝⪿⪼↹⩛21034","cot":[{"info":"↹⩛4410↢↹⩛5113=↹⩛2242","layer":1},{"info":"↹⩛25000⊝⪿⪼↹⩛21034=↹⩛1040212","layer":1},{"info":"↹⩛2242≥⨤⩑↹⩛1040212=↹⩛5414","layer":0}]}
{"id":331,"expression_no_base_symbol":"(⫡⇟⇯$1398$)≎⊠⪸(≸$1807$)","expression":"(⫡⇟⇯↹⩛10250)≎⊠⪸(≸↹⩛12211)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":335,"operation_count":3,"complexity_ratio":111.66666666666667,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":1398,"base":6}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":1807,"base":6}}},"used_operators":["bJkvcejdHO","qWUSsah53b","eOf03JbCpp"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DZ8iAZOCBD","P8v4zCKN1o","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI"],"result":"↹⩛32155115","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1398","layer":2},{"info":"compute unary expreesion, input=1398, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=3664","layer":1},{"info":"number node, value=1807","layer":2},{"info":"compute unary expreesion, input=1807, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":1},{"info":"compute binary expreesion, left_input=3664, right_input=58, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=948503","layer":0}],"base":6,"result_base":6,"text":"(⫡⇟⇯↹⩛10250)≎⊠⪸(≸↹⩛12211)=↹⩛32155115","reverse_text":"↹⩛32155115=(⫡⇟⇯↹⩛10250)≎⊠⪸(≸↹⩛12211)","cot":[{"info":"⫡⇟⇯↹⩛10250=↹⩛24544","layer":1},{"info":"≸↹⩛12211=↹⩛134","layer":1},{"info":"↹⩛24544≎⊠⪸↹⩛134=↹⩛32155115","layer":0}]}
{"id":332,"expression_no_base_symbol":"⪹($3243$⩨$2556$)","expression":"⪹(↹⩛23003⩨↹⩛15500)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3243,"base":6},"right_expr":{"type":"numeric_atoms","value":2556,"base":6}}},"used_operators":["USyYr0JgAa","2DlMacCsIx"],"dependent_operators":["tifHPKVTfV","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"↹⩛500","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3243","layer":2},{"info":"number node, value=2556","layer":2},{"info":"compute binary expreesion, left_input=3243, right_input=2556, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=180","layer":0}],"base":6,"result_base":6,"text":"⪹(↹⩛23003⩨↹⩛15500)=↹⩛500","reverse_text":"↹⩛500=⪹(↹⩛23003⩨↹⩛15500)","cot":[{"info":"↹⩛23003⩨↹⩛15500=↹⩛0","layer":1},{"info":"⪹↹⩛0=↹⩛500","layer":0}]}
{"id":333,"expression_no_base_symbol":"$2063$⩦$1857$⋥≓≎$1311$⋕⪉⪜$3573$","expression":"↹⩛13315⩦↹⩛12333⋥≓≎↹⩛10023⋕⪉⪜↹⩛24313","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":45,"operation_count":3,"complexity_ratio":15.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":2063,"base":6},"right_expr":{"type":"numeric_atoms","value":1857,"base":6}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1311,"base":6},"right_expr":{"type":"numeric_atoms","value":3573,"base":6}}},"used_operators":["Qy55tPpLXF","0kmYd0q39Y","z6LnFrNh4i"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"↹⩛-25021","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2063","layer":2},{"info":"number node, value=1857","layer":2},{"info":"compute binary expreesion, left_input=2063, right_input=1857, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=4126","layer":1},{"info":"number node, value=1311","layer":2},{"info":"number node, value=3573","layer":2},{"info":"compute binary expreesion, left_input=1311, right_input=3573, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"compute binary expreesion, left_input=4126, right_input=204, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3685","layer":0}],"base":6,"result_base":6,"text":"↹⩛13315⩦↹⩛12333⋥≓≎↹⩛10023⋕⪉⪜↹⩛24313=↹⩛-25021","reverse_text":"↹⩛-25021=↹⩛13315⩦↹⩛12333⋥≓≎↹⩛10023⋕⪉⪜↹⩛24313","cot":[{"info":"↹⩛13315⩦↹⩛12333=↹⩛31034","layer":1},{"info":"↹⩛10023⋕⪉⪜↹⩛24313=↹⩛540","layer":1},{"info":"↹⩛31034⋥≓≎↹⩛540=↹⩛-25021","layer":0}]}
{"id":334,"expression_no_base_symbol":"($6570$⊋≦⊧$1569$)∺≝⩲(⨈⪑$1814$)","expression":"(↹⩛50230⊋≦⊧↹⩛11133)∺≝⩲(⨈⪑↹⩛12222)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":110,"operation_count":3,"complexity_ratio":36.666666666666664,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":6570,"base":6},"right_expr":{"type":"numeric_atoms","value":1569,"base":6}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":1814,"base":6}}},"used_operators":["KPf6cnQVty","oRDoc9rAEX","mp94q5OcYM"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6570","layer":2},{"info":"number node, value=1569","layer":2},{"info":"compute binary expreesion, left_input=6570, right_input=1569, 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=-2898","layer":1},{"info":"number node, value=1814","layer":2},{"info":"compute unary expreesion, input=1814, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=-2898, right_input=868, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":6,"result_base":6,"text":"(↹⩛50230⊋≦⊧↹⩛11133)∺≝⩲(⨈⪑↹⩛12222)=↹⩛424","reverse_text":"↹⩛424=(↹⩛50230⊋≦⊧↹⩛11133)∺≝⩲(⨈⪑↹⩛12222)","cot":[{"info":"↹⩛50230⊋≦⊧↹⩛11133=↹⩛-21230","layer":1},{"info":"⨈⪑↹⩛12222=↹⩛4004","layer":1},{"info":"↹⩛-21230∺≝⩲↹⩛4004=↹⩛424","layer":0}]}
{"id":335,"expression_no_base_symbol":"(⩰$1469$)⋻⩜⩜$4914$⇂≾⫗$1110$","expression":"(⩰↹⩛10445)⋻⩜⩜↹⩛34430⇂≾⫗↹⩛5050","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9538,"operation_count":3,"complexity_ratio":3179.3333333333335,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":1469,"base":6}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":4914,"base":6},"right_expr":{"type":"numeric_atoms","value":1110,"base":6}}},"used_operators":["oDCm7WA9JY","WkeUrDK8WX","aBQ6xLxuTc"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1469","layer":2},{"info":"compute unary expreesion, input=1469, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-2469","layer":1},{"info":"number node, value=4914","layer":2},{"info":"number node, value=1110","layer":2},{"info":"compute binary expreesion, left_input=4914, right_input=1110, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"compute binary expreesion, left_input=-2469, right_input=-676, 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":6,"result_base":6,"text":"(⩰↹⩛10445)⋻⩜⩜↹⩛34430⇂≾⫗↹⩛5050=NaN","reverse_text":"NaN=(⩰↹⩛10445)⋻⩜⩜↹⩛34430⇂≾⫗↹⩛5050","cot":[{"info":"⩰↹⩛10445=↹⩛-15233","layer":1},{"info":"↹⩛34430⇂≾⫗↹⩛5050=↹⩛-3044","layer":1},{"info":"↹⩛-15233⋻⩜⩜↹⩛-3044=NaN","layer":0}]}
{"id":336,"expression_no_base_symbol":"↨⩢⫨($1131$⫸⊐$2090$)","expression":"↨⩢⫨(↹⩛5123⫸⊐↹⩛13402)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":91,"operation_count":2,"complexity_ratio":45.5,"tree":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1131,"base":6},"right_expr":{"type":"numeric_atoms","value":2090,"base":6}}},"used_operators":["Z5CJsN7DuW","mqXw5SEYmG"],"dependent_operators":["Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1131","layer":2},{"info":"number node, value=2090","layer":2},{"info":"compute binary expreesion, left_input=1131, right_input=2090, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8235","layer":1},{"info":"compute unary expreesion, input=8235, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":0}],"base":6,"result_base":6,"text":"↨⩢⫨(↹⩛5123⫸⊐↹⩛13402)=↹⩛0","reverse_text":"↹⩛0=↨⩢⫨(↹⩛5123⫸⊐↹⩛13402)","cot":[{"info":"↹⩛5123⫸⊐↹⩛13402=↹⩛102043","layer":1},{"info":"↨⩢⫨↹⩛102043=↹⩛0","layer":0}]}
{"id":337,"expression_no_base_symbol":"($2456$⋘⨑⨽)⫲≸⪮$1684$≚⊃≕$1146$","expression":"(↹⩛15212⋘⨑⨽)⫲≸⪮↹⩛11444≚⊃≕↹⩛5150","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13096,"operation_count":3,"complexity_ratio":4365.333333333333,"tree":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":2456,"base":6}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1684,"base":6},"right_expr":{"type":"numeric_atoms","value":1146,"base":6}}},"used_operators":["P3lXMJvFrc","WmT3o8z6ya","Bmrmz2XGnR"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"↹⩛140251","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2456","layer":2},{"info":"compute unary expreesion, input=2456, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=13063","layer":1},{"info":"number node, value=1684","layer":2},{"info":"number node, value=1146","layer":2},{"info":"compute binary expreesion, left_input=1684, right_input=1146, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=13063, right_input=67, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=13063","layer":0}],"base":6,"result_base":6,"text":"(↹⩛15212⋘⨑⨽)⫲≸⪮↹⩛11444≚⊃≕↹⩛5150=↹⩛140251","reverse_text":"↹⩛140251=(↹⩛15212⋘⨑⨽)⫲≸⪮↹⩛11444≚⊃≕↹⩛5150","cot":[{"info":"↹⩛15212⋘⨑⨽=↹⩛140251","layer":1},{"info":"↹⩛11444≚⊃≕↹⩛5150=↹⩛151","layer":1},{"info":"↹⩛140251⫲≸⪮↹⩛151=↹⩛140251","layer":0}]}
{"id":338,"expression_no_base_symbol":"$2937$⪮%⊝$3054$⇐≅","expression":"↹⩛21333⪮%⊝↹⩛22050⇐≅","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":20,"operation_count":2,"complexity_ratio":10.0,"tree":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2937,"base":6},"right_expr":{"type":"numeric_atoms","value":3054,"base":6}}},"used_operators":["wEfv7U73WA","IWmyXbctLI"],"dependent_operators":["9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"↹⩛221454","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2937","layer":2},{"info":"number node, value=3054","layer":2},{"info":"compute binary expreesion, left_input=2937, right_input=3054, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6190","layer":1},{"info":"compute unary expreesion, input=6190, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=18538","layer":0}],"base":6,"result_base":6,"text":"↹⩛21333⪮%⊝↹⩛22050⇐≅=↹⩛221454","reverse_text":"↹⩛221454=↹⩛21333⪮%⊝↹⩛22050⇐≅","cot":[{"info":"↹⩛21333⪮%⊝↹⩛22050=↹⩛44354","layer":1},{"info":"↹⩛44354⇐≅=↹⩛221454","layer":0}]}
{"id":339,"expression_no_base_symbol":"⫶⊄≣($1421$∙∹∝$1590$)","expression":"⫶⊄≣(↹⩛10325∙∹∝↹⩛11210)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":32,"operation_count":2,"complexity_ratio":16.0,"tree":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1421,"base":6},"right_expr":{"type":"numeric_atoms","value":1590,"base":6}}},"used_operators":["wxb3vTeyAj","HmxsFra2vL"],"dependent_operators":["eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"↹⩛-12122","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1421","layer":2},{"info":"number node, value=1590","layer":2},{"info":"compute binary expreesion, left_input=1421, right_input=1590, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=-1778","layer":0}],"base":6,"result_base":6,"text":"⫶⊄≣(↹⩛10325∙∹∝↹⩛11210)=↹⩛-12122","reverse_text":"↹⩛-12122=⫶⊄≣(↹⩛10325∙∹∝↹⩛11210)","cot":[{"info":"↹⩛10325∙∹∝↹⩛11210=↹⩛0","layer":1},{"info":"⫶⊄≣↹⩛0=↹⩛-12122","layer":0}]}
{"id":340,"expression_no_base_symbol":"(≅≯⇸$1012$)⪝($6896$⪠⩆⊳)","expression":"(≅≯⇸↹⩛4404)⪝(↹⩛51532⪠⩆⊳)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":441,"operation_count":3,"complexity_ratio":147.0,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":1012,"base":6}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":6896,"base":6}}},"used_operators":["wicAB68Tmb","apS25hmuAe","JLbD19bQDL"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","EBcxylXtPf","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛-1002551","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1012","layer":2},{"info":"compute unary expreesion, input=1012, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=11725","layer":1},{"info":"number node, value=6896","layer":2},{"info":"compute unary expreesion, input=6896, 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=11725, right_input=0, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-47299","layer":0}],"base":6,"result_base":6,"text":"(≅≯⇸↹⩛4404)⪝(↹⩛51532⪠⩆⊳)=↹⩛-1002551","reverse_text":"↹⩛-1002551=(≅≯⇸↹⩛4404)⪝(↹⩛51532⪠⩆⊳)","cot":[{"info":"≅≯⇸↹⩛4404=↹⩛130141","layer":1},{"info":"↹⩛51532⪠⩆⊳=↹⩛0","layer":1},{"info":"↹⩛130141⪝↹⩛0=↹⩛-1002551","layer":0}]}
{"id":341,"expression_no_base_symbol":"⫵↿($8199$⪉⨛$1070$)","expression":"⫵↿(↹⩛101543⪉⨛↹⩛4542)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":50,"operation_count":2,"complexity_ratio":25.0,"tree":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":8199,"base":6},"right_expr":{"type":"numeric_atoms","value":1070,"base":6}}},"used_operators":["ivGwdmUAux","EWw2JM7wp4"],"dependent_operators":["LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"↹⩛345","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=8199","layer":2},{"info":"number node, value=1070","layer":2},{"info":"compute binary expreesion, left_input=8199, right_input=1070, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=23742","layer":1},{"info":"compute unary expreesion, input=23742, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":0}],"base":6,"result_base":6,"text":"⫵↿(↹⩛101543⪉⨛↹⩛4542)=↹⩛345","reverse_text":"↹⩛345=⫵↿(↹⩛101543⪉⨛↹⩛4542)","cot":[{"info":"↹⩛101543⪉⨛↹⩛4542=↹⩛301530","layer":1},{"info":"⫵↿↹⩛301530=↹⩛345","layer":0}]}
{"id":342,"expression_no_base_symbol":"(↓⇌$1224$)⨝⩣∺","expression":"(↓⇌↹⩛5400)⨝⩣∺","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":1224,"base":6}}},"used_operators":["ancx8kZcWl","PxpmPgHHJV"],"dependent_operators":["DZ8iAZOCBD","t8gj7n24qd","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q"],"result":"↹⩛-15200","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1224","layer":2},{"info":"compute unary expreesion, input=1224, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1224","layer":1},{"info":"compute unary expreesion, input=1224, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-2448","layer":0}],"base":6,"result_base":6,"text":"(↓⇌↹⩛5400)⨝⩣∺=↹⩛-15200","reverse_text":"↹⩛-15200=(↓⇌↹⩛5400)⨝⩣∺","cot":[{"info":"↓⇌↹⩛5400=↹⩛5400","layer":1},{"info":"↹⩛5400⨝⩣∺=↹⩛-15200","layer":0}]}
{"id":343,"expression_no_base_symbol":"⊿$6912$⊾⪯⋞$2356$","expression":"⊿↹⩛52000⊾⪯⋞↹⩛14524","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":80,"operation_count":2,"complexity_ratio":40.0,"tree":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":6912,"base":6},"right_expr":{"type":"numeric_atoms","value":2356,"base":6}}},"used_operators":["DO4fhlbJSI","HK0tfVPux8"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"↹⩛-214442","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6912","layer":2},{"info":"number node, value=2356","layer":2},{"info":"compute binary expreesion, left_input=6912, right_input=2356, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=4286","layer":1},{"info":"compute unary expreesion, input=4286, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-17882","layer":0}],"base":6,"result_base":6,"text":"⊿↹⩛52000⊾⪯⋞↹⩛14524=↹⩛-214442","reverse_text":"↹⩛-214442=⊿↹⩛52000⊾⪯⋞↹⩛14524","cot":[{"info":"↹⩛52000⊾⪯⋞↹⩛14524=↹⩛31502","layer":1},{"info":"⊿↹⩛31502=↹⩛-214442","layer":0}]}
{"id":344,"expression_no_base_symbol":"($2752$∖$2817$)≧⫂∧$2278$≁↽≥$1688$","expression":"(↹⩛20424∖↹⩛21013)≧⫂∧↹⩛14314≁↽≥↹⩛11452","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":432,"operation_count":3,"complexity_ratio":144.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":2752,"base":6},"right_expr":{"type":"numeric_atoms","value":2817,"base":6}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":2278,"base":6},"right_expr":{"type":"numeric_atoms","value":1688,"base":6}}},"used_operators":["Ph9nP6C5qx","tXD093vOjl","ncHt1X6cMc"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","oWn0xqSxBt","3Oe9XWJUTD"],"result":"↹⩛432505","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2752","layer":2},{"info":"number node, value=2817","layer":2},{"info":"compute binary expreesion, left_input=2752, right_input=2817, 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=2278","layer":2},{"info":"number node, value=1688","layer":2},{"info":"compute binary expreesion, left_input=2278, right_input=1688, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=36082","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=36082, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=35609","layer":0}],"base":6,"result_base":6,"text":"(↹⩛20424∖↹⩛21013)≧⫂∧↹⩛14314≁↽≥↹⩛11452=↹⩛432505","reverse_text":"↹⩛432505=(↹⩛20424∖↹⩛21013)≧⫂∧↹⩛14314≁↽≥↹⩛11452","cot":[{"info":"↹⩛20424∖↹⩛21013=↹⩛0","layer":1},{"info":"↹⩛14314≁↽≥↹⩛11452=↹⩛435014","layer":1},{"info":"↹⩛0≧⫂∧↹⩛435014=↹⩛432505","layer":0}]}
{"id":345,"expression_no_base_symbol":"$6777$≃$3096$⇡","expression":"↹⩛51213≃↹⩛22200⇡","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":93,"operation_count":2,"complexity_ratio":46.5,"tree":{"type":"unary","operator":"⇡","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":6777,"base":6},"right_expr":{"type":"numeric_atoms","value":3096,"base":6}}},"used_operators":["UqFzSgLMvQ","YbVcJGFEVW"],"dependent_operators":["3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"↹⩛-21301","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6777","layer":2},{"info":"number node, value=3096","layer":2},{"info":"compute binary expreesion, left_input=6777, right_input=3096, 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=-27148","layer":1},{"info":"compute unary expreesion, input=-27148, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":0}],"base":6,"result_base":6,"text":"↹⩛51213≃↹⩛22200⇡=↹⩛-21301","reverse_text":"↹⩛-21301=↹⩛51213≃↹⩛22200⇡","cot":[{"info":"↹⩛51213≃↹⩛22200=↹⩛-325404","layer":1},{"info":"↹⩛-325404⇡=↹⩛-21301","layer":0}]}
{"id":346,"expression_no_base_symbol":"⊄⩳↩$1627$≝⊿$4360$","expression":"⊄⩳↩↹⩛11311≝⊿↹⩛32104","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":17,"operation_count":2,"complexity_ratio":8.5,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1627,"base":6},"right_expr":{"type":"numeric_atoms","value":4360,"base":6}}},"used_operators":["8w2t5hMYqp","OKKcZfAt5B"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","12rbrZMWeM"],"result":"↹⩛411040","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1627","layer":2},{"info":"number node, value=4360","layer":2},{"info":"compute binary expreesion, left_input=1627, right_input=4360, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-10880","layer":1},{"info":"compute unary expreesion, input=-10880, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=32640","layer":0}],"base":6,"result_base":6,"text":"⊄⩳↩↹⩛11311≝⊿↹⩛32104=↹⩛411040","reverse_text":"↹⩛411040=⊄⩳↩↹⩛11311≝⊿↹⩛32104","cot":[{"info":"↹⩛11311≝⊿↹⩛32104=↹⩛-122212","layer":1},{"info":"⊄⩳↩↹⩛-122212=↹⩛411040","layer":0}]}
{"id":347,"expression_no_base_symbol":"→⩰$1817$⨔≚≋$4062$","expression":"→⩰↹⩛12225⨔≚≋↹⩛30450","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10306,"operation_count":2,"complexity_ratio":5153.0,"tree":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1817,"base":6},"right_expr":{"type":"numeric_atoms","value":4062,"base":6}}},"used_operators":["o8Pngz0Tml","Z57zeUYC9z"],"dependent_operators":["9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1817","layer":2},{"info":"number node, value=4062","layer":2},{"info":"compute binary expreesion, left_input=1817, right_input=4062, 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 = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"→⩰↹⩛12225⨔≚≋↹⩛30450=NaN","reverse_text":"NaN=→⩰↹⩛12225⨔≚≋↹⩛30450","cot":[{"info":"↹⩛12225⨔≚≋↹⩛30450=↹⩛113412","layer":1},{"info":"→⩰↹⩛113412=NaN","layer":0}]}
{"id":348,"expression_no_base_symbol":"$6078$⨎$6196$∝(⩦⊞$4219$)","expression":"↹⩛44050⨎↹⩛44404∝(⩦⊞↹⩛31311)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6078,"base":6},"right_expr":{"type":"numeric_atoms","value":6196,"base":6}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":4219,"base":6}}},"used_operators":["cTDWOvIxvz","rJVOvQCfKK","u7fv1HBiaC"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP"],"result":"↹⩛44413","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6078","layer":2},{"info":"number node, value=6196","layer":2},{"info":"compute binary expreesion, left_input=6078, right_input=6196, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6196","layer":1},{"info":"number node, value=4219","layer":2},{"info":"compute unary expreesion, input=4219, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-3946","layer":1},{"info":"compute binary expreesion, left_input=6196, right_input=-3946, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=6201","layer":0}],"base":6,"result_base":6,"text":"↹⩛44050⨎↹⩛44404∝(⩦⊞↹⩛31311)=↹⩛44413","reverse_text":"↹⩛44413=↹⩛44050⨎↹⩛44404∝(⩦⊞↹⩛31311)","cot":[{"info":"↹⩛44050⨎↹⩛44404=↹⩛44404","layer":1},{"info":"⩦⊞↹⩛31311=↹⩛-30134","layer":1},{"info":"↹⩛44404∝↹⩛-30134=↹⩛44413","layer":0}]}
{"id":349,"expression_no_base_symbol":"$1293$⨪↰⇹$1070$≓∲$1034$∼$1158$","expression":"↹⩛5553⨪↰⇹↹⩛4542≓∲↹⩛4442∼↹⩛5210","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1355,"operation_count":3,"complexity_ratio":451.6666666666667,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1293,"base":6},"right_expr":{"type":"numeric_atoms","value":1070,"base":6}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1034,"base":6},"right_expr":{"type":"numeric_atoms","value":1158,"base":6}}},"used_operators":["s1XTVnmDOJ","tmPS8pqC7x","DyGG3AbaNP"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rJVOvQCfKK","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1293","layer":2},{"info":"number node, value=1070","layer":2},{"info":"compute binary expreesion, left_input=1293, right_input=1070, 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=1293","layer":1},{"info":"number node, value=1034","layer":2},{"info":"number node, value=1158","layer":2},{"info":"compute binary expreesion, left_input=1034, right_input=1158, 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=1293, 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":0}],"base":6,"result_base":6,"text":"↹⩛5553⨪↰⇹↹⩛4542≓∲↹⩛4442∼↹⩛5210=NaN","reverse_text":"NaN=↹⩛5553⨪↰⇹↹⩛4542≓∲↹⩛4442∼↹⩛5210","cot":[{"info":"↹⩛5553⨪↰⇹↹⩛4542=↹⩛5553","layer":1},{"info":"↹⩛4442∼↹⩛5210=NaN","layer":1},{"info":"↹⩛5553≓∲NaN=NaN","layer":0}]}
{"id":350,"expression_no_base_symbol":"$2701$⩖⊿$1000$∳⫺($6521$-$3781$)","expression":"↹⩛20301⩖⊿↹⩛4344∳⫺(↹⩛50105-↹⩛25301)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":69,"operation_count":3,"complexity_ratio":23.0,"tree":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2701,"base":6},"right_expr":{"type":"numeric_atoms","value":1000,"base":6}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6521,"base":6},"right_expr":{"type":"numeric_atoms","value":3781,"base":6}}},"used_operators":["AzXXKTstlj","RZ5CV9rWsJ","rysDP5nf3Z"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"↹⩛-210310","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2701","layer":2},{"info":"number node, value=1000","layer":2},{"info":"compute binary expreesion, left_input=2701, right_input=1000, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-2886","layer":1},{"info":"number node, value=6521","layer":2},{"info":"number node, value=3781","layer":2},{"info":"compute binary expreesion, left_input=6521, right_input=3781, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2740","layer":1},{"info":"compute binary expreesion, left_input=-2886, right_input=2740, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-16962","layer":0}],"base":6,"result_base":6,"text":"↹⩛20301⩖⊿↹⩛4344∳⫺(↹⩛50105-↹⩛25301)=↹⩛-210310","reverse_text":"↹⩛-210310=↹⩛20301⩖⊿↹⩛4344∳⫺(↹⩛50105-↹⩛25301)","cot":[{"info":"↹⩛20301⩖⊿↹⩛4344=↹⩛-21210","layer":1},{"info":"↹⩛50105-↹⩛25301=↹⩛20404","layer":1},{"info":"↹⩛-21210∳⫺↹⩛20404=↹⩛-210310","layer":0}]}
{"id":351,"expression_no_base_symbol":"($1366$⋹)+⪬∐$2104$⨥⫆$1032$","expression":"(↹⩛10154⋹)+⪬∐↹⩛13424⨥⫆↹⩛4440","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":86,"operation_count":3,"complexity_ratio":28.666666666666668,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":1366,"base":6}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2104,"base":6},"right_expr":{"type":"numeric_atoms","value":1032,"base":6}}},"used_operators":["2GS7woTJqF","opAxDRczMr","yXekIHxTD4"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"↹⩛140","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1366","layer":2},{"info":"compute unary expreesion, input=1366, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":1},{"info":"number node, value=2104","layer":2},{"info":"number node, value=1032","layer":2},{"info":"compute binary expreesion, left_input=2104, right_input=1032, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=1940","layer":1},{"info":"compute binary expreesion, left_input=-20, right_input=1940, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=60","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10154⋹)+⪬∐↹⩛13424⨥⫆↹⩛4440=↹⩛140","reverse_text":"↹⩛140=(↹⩛10154⋹)+⪬∐↹⩛13424⨥⫆↹⩛4440","cot":[{"info":"↹⩛10154⋹=↹⩛-32","layer":1},{"info":"↹⩛13424⨥⫆↹⩛4440=↹⩛12552","layer":1},{"info":"↹⩛-32+⪬∐↹⩛12552=↹⩛140","layer":0}]}
{"id":352,"expression_no_base_symbol":"(∟⋨$4957$)⇡","expression":"(∟⋨↹⩛34541)⇡","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5032,"operation_count":2,"complexity_ratio":2516.0,"tree":{"type":"unary","operator":"⇡","unary_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":4957,"base":6}}},"used_operators":["UqFzSgLMvQ","ctOc4cKSDt"],"dependent_operators":["3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","eLAdDNolq6","tmPS8pqC7x"],"result":"↹⩛-21301","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4957","layer":2},{"info":"compute unary expreesion, input=4957, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-4473","layer":1},{"info":"compute unary expreesion, input=-4473, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":0}],"base":6,"result_base":6,"text":"(∟⋨↹⩛34541)⇡=↹⩛-21301","reverse_text":"↹⩛-21301=(∟⋨↹⩛34541)⇡","cot":[{"info":"∟⋨↹⩛34541=↹⩛-32413","layer":1},{"info":"↹⩛-32413⇡=↹⩛-21301","layer":0}]}
{"id":353,"expression_no_base_symbol":"($3407$⫢⨠$1500$)⩦($3884$≎⊠⪸$2689$)","expression":"(↹⩛23435⫢⨠↹⩛10540)⩦(↹⩛25552≎⊠⪸↹⩛20241)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":347,"operation_count":3,"complexity_ratio":115.66666666666667,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":3407,"base":6},"right_expr":{"type":"numeric_atoms","value":1500,"base":6}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3884,"base":6},"right_expr":{"type":"numeric_atoms","value":2689,"base":6}}},"used_operators":["0kmYd0q39Y","xlXykHWxX1","bJkvcejdHO"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"↹⩛1252","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3407","layer":2},{"info":"number node, value=1500","layer":2},{"info":"compute binary expreesion, left_input=3407, right_input=1500, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":1},{"info":"number node, value=3884","layer":2},{"info":"number node, value=2689","layer":2},{"info":"compute binary expreesion, left_input=3884, right_input=2689, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1005483","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=1005483, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=320","layer":0}],"base":6,"result_base":6,"text":"(↹⩛23435⫢⨠↹⩛10540)⩦(↹⩛25552≎⊠⪸↹⩛20241)=↹⩛1252","reverse_text":"↹⩛1252=(↹⩛23435⫢⨠↹⩛10540)⩦(↹⩛25552≎⊠⪸↹⩛20241)","cot":[{"info":"↹⩛23435⫢⨠↹⩛10540=↹⩛424","layer":1},{"info":"↹⩛25552≎⊠⪸↹⩛20241=↹⩛33315003","layer":1},{"info":"↹⩛424⩦↹⩛33315003=↹⩛1252","layer":0}]}
{"id":354,"expression_no_base_symbol":"$1014$⪬$2268$⨵⪆$2822$≧⫂∧$2878$","expression":"↹⩛4410⪬↹⩛14300⨵⪆↹⩛21022≧⫂∧↹⩛21154","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":571,"operation_count":3,"complexity_ratio":190.33333333333334,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1014,"base":6},"right_expr":{"type":"numeric_atoms","value":2268,"base":6}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2822,"base":6},"right_expr":{"type":"numeric_atoms","value":2878,"base":6}}},"used_operators":["2DQ55sFlQl","Ez1Nq5fNfI","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1014","layer":2},{"info":"number node, value=2268","layer":2},{"info":"compute binary expreesion, left_input=1014, right_input=2268, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=2822","layer":2},{"info":"number node, value=2878","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=2878, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2405","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=2405, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":6,"result_base":6,"text":"↹⩛4410⪬↹⩛14300⨵⪆↹⩛21022≧⫂∧↹⩛21154=↹⩛424","reverse_text":"↹⩛424=↹⩛4410⪬↹⩛14300⨵⪆↹⩛21022≧⫂∧↹⩛21154","cot":[{"info":"↹⩛4410⪬↹⩛14300=↹⩛5414","layer":1},{"info":"↹⩛21022≧⫂∧↹⩛21154=↹⩛15045","layer":1},{"info":"↹⩛5414⨵⪆↹⩛15045=↹⩛424","layer":0}]}
{"id":355,"expression_no_base_symbol":"($2079$∸)∌↝$2043$⨿$1207$","expression":"(↹⩛13343∸)∌↝↹⩛13243⨿↹⩛5331","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":415,"operation_count":3,"complexity_ratio":138.33333333333334,"tree":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2079,"base":6}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2043,"base":6},"right_expr":{"type":"numeric_atoms","value":1207,"base":6}}},"used_operators":["9Isq31Ruls","o20kRiQErp","abYXlopdE0"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","tmPS8pqC7x","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"↹⩛4233","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2079","layer":2},{"info":"compute unary expreesion, input=2079, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=2043","layer":2},{"info":"number node, value=1207","layer":2},{"info":"compute binary expreesion, left_input=2043, right_input=1207, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=-319, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=957","layer":0}],"base":6,"result_base":6,"text":"(↹⩛13343∸)∌↝↹⩛13243⨿↹⩛5331=↹⩛4233","reverse_text":"↹⩛4233=(↹⩛13343∸)∌↝↹⩛13243⨿↹⩛5331","cot":[{"info":"↹⩛13343∸=↹⩛453","layer":1},{"info":"↹⩛13243⨿↹⩛5331=↹⩛-1251","layer":1},{"info":"↹⩛453∌↝↹⩛-1251=↹⩛4233","layer":0}]}
{"id":356,"expression_no_base_symbol":"⨵($2244$⊉↱≁$2106$)","expression":"⨵(↹⩛14220⊉↱≁↹⩛13430)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":79,"operation_count":2,"complexity_ratio":39.5,"tree":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2244,"base":6},"right_expr":{"type":"numeric_atoms","value":2106,"base":6}}},"used_operators":["Tl3Y52tvF8","w2P8NbNXyL"],"dependent_operators":["gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"↹⩛-1410441","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2244","layer":2},{"info":"number node, value=2106","layer":2},{"info":"compute binary expreesion, left_input=2244, right_input=2106, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=9752","layer":1},{"info":"compute unary expreesion, input=9752, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-79225","layer":0}],"base":6,"result_base":6,"text":"⨵(↹⩛14220⊉↱≁↹⩛13430)=↹⩛-1410441","reverse_text":"↹⩛-1410441=⨵(↹⩛14220⊉↱≁↹⩛13430)","cot":[{"info":"↹⩛14220⊉↱≁↹⩛13430=↹⩛113052","layer":1},{"info":"⨵↹⩛113052=↹⩛-1410441","layer":0}]}
{"id":357,"expression_no_base_symbol":"$3376$⨓$3467$⪇≇⋚$7509$↼⊘⨖$2335$","expression":"↹⩛23344⨓↹⩛24015⪇≇⋚↹⩛54433↼⊘⨖↹⩛14451","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3491,"operation_count":3,"complexity_ratio":1163.6666666666667,"tree":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3376,"base":6},"right_expr":{"type":"numeric_atoms","value":3467,"base":6}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":7509,"base":6},"right_expr":{"type":"numeric_atoms","value":2335,"base":6}}},"used_operators":["3sJ7IOPOlU","3ViojmjbAp","bPywburJMS"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3376","layer":2},{"info":"number node, value=3467","layer":2},{"info":"compute binary expreesion, left_input=3376, right_input=3467, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3470","layer":1},{"info":"number node, value=7509","layer":2},{"info":"number node, value=2335","layer":2},{"info":"compute binary expreesion, left_input=7509, right_input=2335, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=4448","layer":1},{"info":"compute binary expreesion, left_input=-3470, right_input=4448, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":0}],"base":6,"result_base":6,"text":"↹⩛23344⨓↹⩛24015⪇≇⋚↹⩛54433↼⊘⨖↹⩛14451=↹⩛0","reverse_text":"↹⩛0=↹⩛23344⨓↹⩛24015⪇≇⋚↹⩛54433↼⊘⨖↹⩛14451","cot":[{"info":"↹⩛23344⨓↹⩛24015=↹⩛-24022","layer":1},{"info":"↹⩛54433↼⊘⨖↹⩛14451=↹⩛32332","layer":1},{"info":"↹⩛-24022⪇≇⋚↹⩛32332=↹⩛0","layer":0}]}
{"id":358,"expression_no_base_symbol":"⨙⪌($6123$⩍⋽⫝̸$2522$)","expression":"⨙⪌(↹⩛44203⩍⋽⫝̸↹⩛15402)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":915,"operation_count":2,"complexity_ratio":457.5,"tree":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":6123,"base":6},"right_expr":{"type":"numeric_atoms","value":2522,"base":6}}},"used_operators":["vEGLkm4Z2k","BiWNJpBvwn"],"dependent_operators":["tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","Ph9nP6C5qx","xUOZtlo3hN"],"result":"↹⩛4004","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=6123","layer":2},{"info":"number node, value=2522","layer":2},{"info":"compute binary expreesion, left_input=6123, right_input=2522, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1576","layer":1},{"info":"compute unary expreesion, input=1576, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":0}],"base":6,"result_base":6,"text":"⨙⪌(↹⩛44203⩍⋽⫝̸↹⩛15402)=↹⩛4004","reverse_text":"↹⩛4004=⨙⪌(↹⩛44203⩍⋽⫝̸↹⩛15402)","cot":[{"info":"↹⩛44203⩍⋽⫝̸↹⩛15402=↹⩛11144","layer":1},{"info":"⨙⪌↹⩛11144=↹⩛4004","layer":0}]}
{"id":359,"expression_no_base_symbol":"$2489$⨟⋌⩍$3445$⪄$2424$⪨⊡$1979$","expression":"↹⩛15305⨟⋌⩍↹⩛23541⪄↹⩛15120⪨⊡↹⩛13055","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":35,"operation_count":3,"complexity_ratio":11.666666666666666,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2489,"base":6},"right_expr":{"type":"numeric_atoms","value":3445,"base":6}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2424,"base":6},"right_expr":{"type":"numeric_atoms","value":1979,"base":6}}},"used_operators":["SUmda5xLS4","rGHVDoGpnC","kuIXHzHcAH"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Tcnh7f0tEr","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"↹⩛30231","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2489","layer":2},{"info":"number node, value=3445","layer":2},{"info":"compute binary expreesion, left_input=2489, right_input=3445, 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=2424","layer":2},{"info":"number node, value=1979","layer":2},{"info":"compute binary expreesion, left_input=2424, right_input=1979, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":6,"result_base":6,"text":"↹⩛15305⨟⋌⩍↹⩛23541⪄↹⩛15120⪨⊡↹⩛13055=↹⩛30231","reverse_text":"↹⩛30231=↹⩛15305⨟⋌⩍↹⩛23541⪄↹⩛15120⪨⊡↹⩛13055","cot":[{"info":"↹⩛15305⨟⋌⩍↹⩛23541=NaN","layer":1},{"info":"↹⩛15120⪨⊡↹⩛13055=↹⩛0","layer":1},{"info":"NaN⪄↹⩛0=↹⩛30231","layer":0}]}
{"id":360,"expression_no_base_symbol":"$1383$≬⋮$3473$⩹$1277$≎⊠⪸$1172$","expression":"↹⩛10223≬⋮↹⩛24025⩹↹⩛5525≎⊠⪸↹⩛5232","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":296,"operation_count":3,"complexity_ratio":98.66666666666667,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1383,"base":6},"right_expr":{"type":"numeric_atoms","value":3473,"base":6}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1277,"base":6},"right_expr":{"type":"numeric_atoms","value":1172,"base":6}}},"used_operators":["2Wsdkap16l","kbkesczE7y","bJkvcejdHO"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"↹⩛11025004","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1383","layer":2},{"info":"number node, value=3473","layer":2},{"info":"compute binary expreesion, left_input=1383, right_input=3473, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=1277","layer":2},{"info":"number node, value=1172","layer":2},{"info":"compute binary expreesion, left_input=1277, right_input=1172, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=330270","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=330270, 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=330268","layer":0}],"base":6,"result_base":6,"text":"↹⩛10223≬⋮↹⩛24025⩹↹⩛5525≎⊠⪸↹⩛5232=↹⩛11025004","reverse_text":"↹⩛11025004=↹⩛10223≬⋮↹⩛24025⩹↹⩛5525≎⊠⪸↹⩛5232","cot":[{"info":"↹⩛10223≬⋮↹⩛24025=↹⩛4004","layer":1},{"info":"↹⩛5525≎⊠⪸↹⩛5232=↹⩛11025010","layer":1},{"info":"↹⩛4004⩹↹⩛11025010=↹⩛11025004","layer":0}]}
{"id":361,"expression_no_base_symbol":"$1401$⪕$4838$≥⨤⩑$3966$∊∟⩊$1083$","expression":"↹⩛10253⪕↹⩛34222≥⨤⩑↹⩛30210∊∟⩊↹⩛5003","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":96,"operation_count":3,"complexity_ratio":32.0,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1401,"base":6},"right_expr":{"type":"numeric_atoms","value":4838,"base":6}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":3966,"base":6},"right_expr":{"type":"numeric_atoms","value":1083,"base":6}}},"used_operators":["gJLn6v0xnP","umQnsF7QlU","ddLRYrp01A"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU"],"result":"↹⩛5414","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1401","layer":2},{"info":"number node, value=4838","layer":2},{"info":"compute binary expreesion, left_input=1401, right_input=4838, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":1},{"info":"number node, value=3966","layer":2},{"info":"number node, value=1083","layer":2},{"info":"compute binary expreesion, left_input=3966, right_input=1083, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=39","layer":1},{"info":"compute binary expreesion, left_input=-55, right_input=39, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":6,"result_base":6,"text":"↹⩛10253⪕↹⩛34222≥⨤⩑↹⩛30210∊∟⩊↹⩛5003=↹⩛5414","reverse_text":"↹⩛5414=↹⩛10253⪕↹⩛34222≥⨤⩑↹⩛30210∊∟⩊↹⩛5003","cot":[{"info":"↹⩛10253⪕↹⩛34222=↹⩛-131","layer":1},{"info":"↹⩛30210∊∟⩊↹⩛5003=↹⩛103","layer":1},{"info":"↹⩛-131≥⨤⩑↹⩛103=↹⩛5414","layer":0}]}
{"id":362,"expression_no_base_symbol":"$1818$↬$5289$⊹∫⫚$2057$⪃⊛⇣$2591$","expression":"↹⩛12230↬↹⩛40253⊹∫⫚↹⩛13305⪃⊛⇣↹⩛15555","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":593,"operation_count":3,"complexity_ratio":197.66666666666666,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1818,"base":6},"right_expr":{"type":"numeric_atoms","value":5289,"base":6}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2057,"base":6},"right_expr":{"type":"numeric_atoms","value":2591,"base":6}}},"used_operators":["uWAJUKEvyW","B5M0gjZbta","rrgAzCduG9"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","rGHVDoGpnC","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"↹⩛-552","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1818","layer":2},{"info":"number node, value=5289","layer":2},{"info":"compute binary expreesion, left_input=1818, right_input=5289, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬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=2057","layer":2},{"info":"number node, value=2591","layer":2},{"info":"compute binary expreesion, left_input=2057, right_input=2591, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-212","layer":0}],"base":6,"result_base":6,"text":"↹⩛12230↬↹⩛40253⊹∫⫚↹⩛13305⪃⊛⇣↹⩛15555=↹⩛-552","reverse_text":"↹⩛-552=↹⩛12230↬↹⩛40253⊹∫⫚↹⩛13305⪃⊛⇣↹⩛15555","cot":[{"info":"↹⩛12230↬↹⩛40253=NaN","layer":1},{"info":"↹⩛13305⪃⊛⇣↹⩛15555=↹⩛5414","layer":1},{"info":"NaN⊹∫⫚↹⩛5414=↹⩛-552","layer":0}]}
{"id":363,"expression_no_base_symbol":"($1594$≬⇓$1039$)⨔⇊($1048$⨳⩥⨓$1280$)","expression":"(↹⩛11214≬⇓↹⩛4451)⨔⇊(↹⩛4504⨳⩥⨓↹⩛5532)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1594,"base":6},"right_expr":{"type":"numeric_atoms","value":1039,"base":6}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1048,"base":6},"right_expr":{"type":"numeric_atoms","value":1280,"base":6}}},"used_operators":["JclMnS0uGI","jWTQ2TZYIH","nCS4ZIUYfx"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","W4YGzv6Whe","rysDP5nf3Z"],"result":"↹⩛1024","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1594","layer":2},{"info":"number node, value=1039","layer":2},{"info":"compute binary expreesion, left_input=1594, right_input=1039, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":1},{"info":"number node, value=1048","layer":2},{"info":"number node, value=1280","layer":2},{"info":"compute binary expreesion, left_input=1048, right_input=1280, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=232","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=232, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=232","layer":0}],"base":6,"result_base":6,"text":"(↹⩛11214≬⇓↹⩛4451)⨔⇊(↹⩛4504⨳⩥⨓↹⩛5532)=↹⩛1024","reverse_text":"↹⩛1024=(↹⩛11214≬⇓↹⩛4451)⨔⇊(↹⩛4504⨳⩥⨓↹⩛5532)","cot":[{"info":"↹⩛11214≬⇓↹⩛4451=↹⩛-34","layer":1},{"info":"↹⩛4504⨳⩥⨓↹⩛5532=↹⩛1024","layer":1},{"info":"↹⩛-34⨔⇊↹⩛1024=↹⩛1024","layer":0}]}
{"id":364,"expression_no_base_symbol":"$5174$⊔$1041$∷$2648$⫣⪄⊒$1936$","expression":"↹⩛35542⊔↹⩛4453∷↹⩛20132⫣⪄⊒↹⩛12544","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":54,"operation_count":3,"complexity_ratio":18.0,"tree":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":5174,"base":6},"right_expr":{"type":"numeric_atoms","value":1041,"base":6}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2648,"base":6},"right_expr":{"type":"numeric_atoms","value":1936,"base":6}}},"used_operators":["D3AQDKkPcf","E4l6HwMY31","RabNbG55vr"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"↹⩛-144323","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5174","layer":2},{"info":"number node, value=1041","layer":2},{"info":"compute binary expreesion, left_input=5174, right_input=1041, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=13153","layer":1},{"info":"number node, value=2648","layer":2},{"info":"number node, value=1936","layer":2},{"info":"compute binary expreesion, left_input=2648, right_input=1936, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-6832","layer":1},{"info":"compute binary expreesion, left_input=13153, right_input=-6832, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-13947","layer":0}],"base":6,"result_base":6,"text":"↹⩛35542⊔↹⩛4453∷↹⩛20132⫣⪄⊒↹⩛12544=↹⩛-144323","reverse_text":"↹⩛-144323=↹⩛35542⊔↹⩛4453∷↹⩛20132⫣⪄⊒↹⩛12544","cot":[{"info":"↹⩛35542⊔↹⩛4453=↹⩛140521","layer":1},{"info":"↹⩛20132⫣⪄⊒↹⩛12544=↹⩛-51344","layer":1},{"info":"↹⩛140521∷↹⩛-51344=↹⩛-144323","layer":0}]}
{"id":365,"expression_no_base_symbol":"$2537$⇣⩺⋵$2840$⨭⪣($2140$↺$4576$)","expression":"↹⩛15425⇣⩺⋵↹⩛21052⨭⪣(↹⩛13524↺↹⩛33104)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":99,"operation_count":3,"complexity_ratio":33.0,"tree":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":2537,"base":6},"right_expr":{"type":"numeric_atoms","value":2840,"base":6}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2140,"base":6},"right_expr":{"type":"numeric_atoms","value":4576,"base":6}}},"used_operators":["kn8WO9XteQ","F4yD0voBRQ","7j4O788W3g"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛-2251","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2537","layer":2},{"info":"number node, value=2840","layer":2},{"info":"compute binary expreesion, left_input=2537, right_input=2840, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"number node, value=2140","layer":2},{"info":"number node, value=4576","layer":2},{"info":"compute binary expreesion, left_input=2140, right_input=4576, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4576","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=4576, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-535","layer":0}],"base":6,"result_base":6,"text":"↹⩛15425⇣⩺⋵↹⩛21052⨭⪣(↹⩛13524↺↹⩛33104)=↹⩛-2251","reverse_text":"↹⩛-2251=↹⩛15425⇣⩺⋵↹⩛21052⨭⪣(↹⩛13524↺↹⩛33104)","cot":[{"info":"↹⩛15425⇣⩺⋵↹⩛21052=↹⩛-1112","layer":1},{"info":"↹⩛13524↺↹⩛33104=↹⩛33104","layer":1},{"info":"↹⩛-1112⨭⪣↹⩛33104=↹⩛-2251","layer":0}]}
{"id":366,"expression_no_base_symbol":"$3501$∌↝$4000$⪉⨛$3160$∌$3888$","expression":"↹⩛24113∌↝↹⩛30304⪉⨛↹⩛22344∌↹⩛30000","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":40,"operation_count":3,"complexity_ratio":13.333333333333334,"tree":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":3501,"base":6},"right_expr":{"type":"numeric_atoms","value":4000,"base":6}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":3160,"base":6},"right_expr":{"type":"numeric_atoms","value":3888,"base":6}}},"used_operators":["EWw2JM7wp4","9Isq31Ruls","8cLx32lpNA"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"↹⩛130555","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3501","layer":2},{"info":"number node, value=4000","layer":2},{"info":"compute binary expreesion, left_input=3501, right_input=4000, 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=3160","layer":2},{"info":"number node, value=3888","layer":2},{"info":"compute binary expreesion, left_input=3160, right_input=3888, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3888","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-3888, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=11879","layer":0}],"base":6,"result_base":6,"text":"↹⩛24113∌↝↹⩛30304⪉⨛↹⩛22344∌↹⩛30000=↹⩛130555","reverse_text":"↹⩛130555=↹⩛24113∌↝↹⩛30304⪉⨛↹⩛22344∌↹⩛30000","cot":[{"info":"↹⩛24113∌↝↹⩛30304=↹⩛0","layer":1},{"info":"↹⩛22344∌↹⩛30000=↹⩛-30000","layer":1},{"info":"↹⩛0⪉⨛↹⩛-30000=↹⩛130555","layer":0}]}
{"id":367,"expression_no_base_symbol":"$4175$≨$2787$⨒($2589$⊹≧⊝)","expression":"↹⩛31155≨↹⩛20523⨒(↹⩛15553⊹≧⊝)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":108,"operation_count":3,"complexity_ratio":36.0,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":4175,"base":6},"right_expr":{"type":"numeric_atoms","value":2787,"base":6}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":2589,"base":6}}},"used_operators":["y75s1iXyHd","0KMCeP1Jsh","LxFB4K6j0n"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C"],"result":"↹⩛1","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4175","layer":2},{"info":"number node, value=2787","layer":2},{"info":"compute binary expreesion, left_input=4175, right_input=2787, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-39274","layer":1},{"info":"number node, value=2589","layer":2},{"info":"compute unary expreesion, input=2589, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-10356","layer":1},{"info":"compute binary expreesion, left_input=-39274, right_input=-10356, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":0}],"base":6,"result_base":6,"text":"↹⩛31155≨↹⩛20523⨒(↹⩛15553⊹≧⊝)=↹⩛1","reverse_text":"↹⩛1=↹⩛31155≨↹⩛20523⨒(↹⩛15553⊹≧⊝)","cot":[{"info":"↹⩛31155≨↹⩛20523=↹⩛-501454","layer":1},{"info":"↹⩛15553⊹≧⊝=↹⩛-115540","layer":1},{"info":"↹⩛-501454⨒↹⩛-115540=↹⩛1","layer":0}]}
{"id":368,"expression_no_base_symbol":"$1621$∕⩚$2263$⋷($1935$≑≱⪘)","expression":"↹⩛11301∕⩚↹⩛14251⋷(↹⩛12543≑≱⪘)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1744,"operation_count":3,"complexity_ratio":581.3333333333334,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1621,"base":6},"right_expr":{"type":"numeric_atoms","value":2263,"base":6}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":1935,"base":6}}},"used_operators":["23Mk6UjR3U","z9ffQ9n5Zr","tGSeddj7UK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn"],"result":"↹⩛23012","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1621","layer":2},{"info":"number node, value=2263","layer":2},{"info":"compute binary expreesion, left_input=1621, right_input=2263, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1624","layer":1},{"info":"number node, value=1935","layer":2},{"info":"compute unary expreesion, input=1935, 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=46675","layer":1},{"info":"compute binary expreesion, left_input=-1624, right_input=46675, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3248","layer":0}],"base":6,"result_base":6,"text":"↹⩛11301∕⩚↹⩛14251⋷(↹⩛12543≑≱⪘)=↹⩛23012","reverse_text":"↹⩛23012=↹⩛11301∕⩚↹⩛14251⋷(↹⩛12543≑≱⪘)","cot":[{"info":"↹⩛11301∕⩚↹⩛14251=↹⩛-11304","layer":1},{"info":"↹⩛12543≑≱⪘=↹⩛1000031","layer":1},{"info":"↹⩛-11304⋷↹⩛1000031=↹⩛23012","layer":0}]}
{"id":369,"expression_no_base_symbol":"(≯$4504$)⨎(⩩$1055$)","expression":"(≯↹⩛32504)⨎(⩩↹⩛4515)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2001,"operation_count":3,"complexity_ratio":667.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":4504,"base":6}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":1055,"base":6}}},"used_operators":["rJVOvQCfKK","keWfFq85dY","kMhfGuqI2H"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","JLbD19bQDL","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4504","layer":2},{"info":"compute unary expreesion, input=4504, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=1055","layer":2},{"info":"compute unary expreesion, input=1055, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 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":6,"result_base":6,"text":"(≯↹⩛32504)⨎(⩩↹⩛4515)=NaN","reverse_text":"NaN=(≯↹⩛32504)⨎(⩩↹⩛4515)","cot":[{"info":"≯↹⩛32504=↹⩛0","layer":1},{"info":"⩩↹⩛4515=NaN","layer":1},{"info":"↹⩛0⨎NaN=NaN","layer":0}]}
{"id":370,"expression_no_base_symbol":"⊀(∨∊⋏$1260$)","expression":"⊀(∨∊⋏↹⩛5500)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":85,"operation_count":2,"complexity_ratio":42.5,"tree":{"type":"unary","operator":"⊀","unary_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":1260,"base":6}}},"used_operators":["oPMjh9089D","R5aXW34M0v"],"dependent_operators":["Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ"],"result":"↹⩛1242154","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1260","layer":2},{"info":"compute unary expreesion, input=1260, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=17039","layer":1},{"info":"compute unary expreesion, input=17039, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=67894","layer":0}],"base":6,"result_base":6,"text":"⊀(∨∊⋏↹⩛5500)=↹⩛1242154","reverse_text":"↹⩛1242154=⊀(∨∊⋏↹⩛5500)","cot":[{"info":"∨∊⋏↹⩛5500=↹⩛210515","layer":1},{"info":"⊀↹⩛210515=↹⩛1242154","layer":0}]}
{"id":371,"expression_no_base_symbol":"($4783$⫦⪉$2432$)≃($1963$⨘)","expression":"(↹⩛34051⫦⪉↹⩛15132)≃(↹⩛13031⨘)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2017,"operation_count":3,"complexity_ratio":672.3333333333334,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":4783,"base":6},"right_expr":{"type":"numeric_atoms","value":2432,"base":6}},"right_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"numeric_atoms","value":1963,"base":6}}},"used_operators":["YbVcJGFEVW","wscyQdcy20","ljcfZBUpm8"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ"],"result":"↹⩛1124344","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4783","layer":2},{"info":"number node, value=2432","layer":2},{"info":"compute binary expreesion, left_input=4783, right_input=2432, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-4666","layer":1},{"info":"number node, value=1963","layer":2},{"info":"compute unary expreesion, input=1963, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-14516","layer":1},{"info":"compute binary expreesion, left_input=-4666, right_input=-14516, 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=58024","layer":0}],"base":6,"result_base":6,"text":"(↹⩛34051⫦⪉↹⩛15132)≃(↹⩛13031⨘)=↹⩛1124344","reverse_text":"↹⩛1124344=(↹⩛34051⫦⪉↹⩛15132)≃(↹⩛13031⨘)","cot":[{"info":"↹⩛34051⫦⪉↹⩛15132=↹⩛-33334","layer":1},{"info":"↹⩛13031⨘=↹⩛-151112","layer":1},{"info":"↹⩛-33334≃↹⩛-151112=↹⩛1124344","layer":0}]}
{"id":372,"expression_no_base_symbol":"$5709$≌$7227$⋥≓≎($7159$⊾⪯⋞$1582$)","expression":"↹⩛42233≌↹⩛53243⋥≓≎(↹⩛53051⊾⪯⋞↹⩛11154)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7417,"operation_count":3,"complexity_ratio":2472.3333333333335,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":5709,"base":6},"right_expr":{"type":"numeric_atoms","value":7227,"base":6}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":7159,"base":6},"right_expr":{"type":"numeric_atoms","value":1582,"base":6}}},"used_operators":["Qy55tPpLXF","lyWz822IDG","HK0tfVPux8"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5709","layer":2},{"info":"number node, value=7227","layer":2},{"info":"compute binary expreesion, left_input=5709, right_input=7227, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":1},{"info":"number node, value=7159","layer":2},{"info":"number node, value=1582","layer":2},{"info":"compute binary expreesion, left_input=7159, right_input=1582, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=2738","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2738, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":6,"result_base":6,"text":"↹⩛42233≌↹⩛53243⋥≓≎(↹⩛53051⊾⪯⋞↹⩛11154)=↹⩛151","reverse_text":"↹⩛151=↹⩛42233≌↹⩛53243⋥≓≎(↹⩛53051⊾⪯⋞↹⩛11154)","cot":[{"info":"↹⩛42233≌↹⩛53243=NaN","layer":1},{"info":"↹⩛53051⊾⪯⋞↹⩛11154=↹⩛20402","layer":1},{"info":"NaN⋥≓≎↹⩛20402=↹⩛151","layer":0}]}
{"id":373,"expression_no_base_symbol":"(⨩∲⋌$1787$)⊝","expression":"(⨩∲⋌↹⩛12135)⊝","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⊝","unary_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":1787,"base":6}}},"used_operators":["O6EZ0fifGK","aSik1wnThz"],"dependent_operators":["IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q"],"result":"↹⩛-14410","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1787","layer":2},{"info":"compute unary expreesion, input=1787, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-2310","layer":1},{"info":"compute unary expreesion, input=-2310, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=-2310","layer":0}],"base":6,"result_base":6,"text":"(⨩∲⋌↹⩛12135)⊝=↹⩛-14410","reverse_text":"↹⩛-14410=(⨩∲⋌↹⩛12135)⊝","cot":[{"info":"⨩∲⋌↹⩛12135=↹⩛-14410","layer":1},{"info":"↹⩛-14410⊝=↹⩛-14410","layer":0}]}
{"id":374,"expression_no_base_symbol":"($6600$⨚⇆$2146$)⫁($1333$∙∹∝$1252$)","expression":"(↹⩛50320⨚⇆↹⩛13534)⫁(↹⩛10101∙∹∝↹⩛5444)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":46317,"operation_count":3,"complexity_ratio":15439.0,"tree":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":6600,"base":6},"right_expr":{"type":"numeric_atoms","value":2146,"base":6}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1333,"base":6},"right_expr":{"type":"numeric_atoms","value":1252,"base":6}}},"used_operators":["0ajvFaJAv0","lwHaAYXP2r","HmxsFra2vL"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=6600","layer":2},{"info":"number node, value=2146","layer":2},{"info":"compute binary expreesion, left_input=6600, right_input=2146, 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=1333","layer":2},{"info":"number node, value=1252","layer":2},{"info":"compute binary expreesion, left_input=1333, right_input=1252, 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=nan, right_input=0, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":6,"result_base":6,"text":"(↹⩛50320⨚⇆↹⩛13534)⫁(↹⩛10101∙∹∝↹⩛5444)=↹⩛424","reverse_text":"↹⩛424=(↹⩛50320⨚⇆↹⩛13534)⫁(↹⩛10101∙∹∝↹⩛5444)","cot":[{"info":"↹⩛50320⨚⇆↹⩛13534=NaN","layer":1},{"info":"↹⩛10101∙∹∝↹⩛5444=↹⩛0","layer":1},{"info":"NaN⫁↹⩛0=↹⩛424","layer":0}]}
{"id":375,"expression_no_base_symbol":"($1220$≳⇉$1226$)↳∿⪆(⇈$5073$)","expression":"(↹⩛5352≳⇉↹⩛5402)↳∿⪆(⇈↹⩛35253)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16540153,"operation_count":3,"complexity_ratio":5513384.333333333,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1220,"base":6},"right_expr":{"type":"numeric_atoms","value":1226,"base":6}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":5073,"base":6}}},"used_operators":["Cw4SuJJGHO","V0kx6qeWkN","SLLxy00UIr"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1220","layer":2},{"info":"number node, value=1226","layer":2},{"info":"compute binary expreesion, left_input=1220, right_input=1226, 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=5073","layer":2},{"info":"compute unary expreesion, input=5073, 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 = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5352≳⇉↹⩛5402)↳∿⪆(⇈↹⩛35253)=NaN","reverse_text":"NaN=(↹⩛5352≳⇉↹⩛5402)↳∿⪆(⇈↹⩛35253)","cot":[{"info":"↹⩛5352≳⇉↹⩛5402=NaN","layer":1},{"info":"⇈↹⩛35253=↹⩛-2023","layer":1},{"info":"NaN↳∿⪆↹⩛-2023=NaN","layer":0}]}
{"id":376,"expression_no_base_symbol":"$4684$⊨$5598$≬⇓($4273$≓∲$5783$)","expression":"↹⩛33404⊨↹⩛41530≬⇓(↹⩛31441≓∲↹⩛42435)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":64,"operation_count":3,"complexity_ratio":21.333333333333332,"tree":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":4684,"base":6},"right_expr":{"type":"numeric_atoms","value":5598,"base":6}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":4273,"base":6},"right_expr":{"type":"numeric_atoms","value":5783,"base":6}}},"used_operators":["jWTQ2TZYIH","vg4gO5BX6G","s1XTVnmDOJ"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"↹⩛-34","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4684","layer":2},{"info":"number node, value=5598","layer":2},{"info":"compute binary expreesion, left_input=4684, right_input=5598, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=19767","layer":1},{"info":"number node, value=4273","layer":2},{"info":"number node, value=5783","layer":2},{"info":"compute binary expreesion, left_input=4273, right_input=5783, 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=43513","layer":1},{"info":"compute binary expreesion, left_input=19767, right_input=43513, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":0}],"base":6,"result_base":6,"text":"↹⩛33404⊨↹⩛41530≬⇓(↹⩛31441≓∲↹⩛42435)=↹⩛-34","reverse_text":"↹⩛-34=↹⩛33404⊨↹⩛41530≬⇓(↹⩛31441≓∲↹⩛42435)","cot":[{"info":"↹⩛33404⊨↹⩛41530=↹⩛231303","layer":1},{"info":"↹⩛31441≓∲↹⩛42435=↹⩛533241","layer":1},{"info":"↹⩛231303≬⇓↹⩛533241=↹⩛-34","layer":0}]}
{"id":377,"expression_no_base_symbol":"$5234$⪃⊛⇣$7959$⩧⪆$2006$⨜⨶$3963$","expression":"↹⩛40122⪃⊛⇣↹⩛100503⩧⪆↹⩛13142⨜⨶↹⩛30203","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":598,"operation_count":3,"complexity_ratio":199.33333333333334,"tree":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":5234,"base":6},"right_expr":{"type":"numeric_atoms","value":7959,"base":6}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2006,"base":6},"right_expr":{"type":"numeric_atoms","value":3963,"base":6}}},"used_operators":["Ikt5ks8PT7","rrgAzCduG9","HiPekx5b7W"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"↹⩛55302","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5234","layer":2},{"info":"number node, value=7959","layer":2},{"info":"compute binary expreesion, left_input=5234, right_input=7959, 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=2006","layer":2},{"info":"number node, value=3963","layer":2},{"info":"compute binary expreesion, left_input=2006, right_input=3963, 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=-7670","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-7670, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=7670","layer":0}],"base":6,"result_base":6,"text":"↹⩛40122⪃⊛⇣↹⩛100503⩧⪆↹⩛13142⨜⨶↹⩛30203=↹⩛55302","reverse_text":"↹⩛55302=↹⩛40122⪃⊛⇣↹⩛100503⩧⪆↹⩛13142⨜⨶↹⩛30203","cot":[{"info":"↹⩛40122⪃⊛⇣↹⩛100503=↹⩛5414","layer":1},{"info":"↹⩛13142⨜⨶↹⩛30203=↹⩛-55302","layer":1},{"info":"↹⩛5414⩧⪆↹⩛-55302=↹⩛55302","layer":0}]}
{"id":378,"expression_no_base_symbol":"($5922$⊢$1178$)⇉⇱⇎","expression":"(↹⩛43230⊢↹⩛5242)⇉⇱⇎","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":63,"operation_count":2,"complexity_ratio":31.5,"tree":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":5922,"base":6},"right_expr":{"type":"numeric_atoms","value":1178,"base":6}}},"used_operators":["MRPaB8lBjK","5twsqlHp2o"],"dependent_operators":["XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"↹⩛1002","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5922","layer":2},{"info":"number node, value=1178","layer":2},{"info":"compute binary expreesion, left_input=5922, right_input=1178, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-12088","layer":1},{"info":"compute unary expreesion, input=-12088, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=218","layer":0}],"base":6,"result_base":6,"text":"(↹⩛43230⊢↹⩛5242)⇉⇱⇎=↹⩛1002","reverse_text":"↹⩛1002=(↹⩛43230⊢↹⩛5242)⇉⇱⇎","cot":[{"info":"↹⩛43230⊢↹⩛5242=↹⩛-131544","layer":1},{"info":"↹⩛-131544⇉⇱⇎=↹⩛1002","layer":0}]}
{"id":379,"expression_no_base_symbol":"$6319$≝⊿$7031$≑≱⪘","expression":"↹⩛45131≝⊿↹⩛52315≑≱⪘","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":129,"operation_count":2,"complexity_ratio":64.5,"tree":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":6319,"base":6},"right_expr":{"type":"numeric_atoms","value":7031,"base":6}}},"used_operators":["tGSeddj7UK","OKKcZfAt5B"],"dependent_operators":["9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","12rbrZMWeM"],"result":"↹⩛15314350","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6319","layer":2},{"info":"number node, value=7031","layer":2},{"info":"compute binary expreesion, left_input=6319, right_input=7031, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-20914","layer":1},{"info":"compute unary expreesion, input=-20914, 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=538842","layer":0}],"base":6,"result_base":6,"text":"↹⩛45131≝⊿↹⩛52315≑≱⪘=↹⩛15314350","reverse_text":"↹⩛15314350=↹⩛45131≝⊿↹⩛52315≑≱⪘","cot":[{"info":"↹⩛45131≝⊿↹⩛52315=↹⩛-240454","layer":1},{"info":"↹⩛-240454≑≱⪘=↹⩛15314350","layer":0}]}
{"id":380,"expression_no_base_symbol":"(⊲⪭$2925$)⩌⋺($2264$⪪$1747$)","expression":"(⊲⪭↹⩛21313)⩌⋺(↹⩛14252⪪↹⩛12031)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6937,"operation_count":3,"complexity_ratio":2312.3333333333335,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":2925,"base":6}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":2264,"base":6},"right_expr":{"type":"numeric_atoms","value":1747,"base":6}}},"used_operators":["g7Hmc5v1ko","k7HXdKtiEU","xD69zh8xqp"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","i8ToyICDmI","xUOZtlo3hN","FU0Cs4j7VP","JclMnS0uGI"],"result":"↹⩛11150215","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2925","layer":2},{"info":"compute unary expreesion, input=2925, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-3099","layer":1},{"info":"number node, value=2264","layer":2},{"info":"number node, value=1747","layer":2},{"info":"compute binary expreesion, left_input=2264, right_input=1747, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-337953","layer":1},{"info":"compute binary expreesion, left_input=-3099, right_input=-337953, 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=340931","layer":0}],"base":6,"result_base":6,"text":"(⊲⪭↹⩛21313)⩌⋺(↹⩛14252⪪↹⩛12031)=↹⩛11150215","reverse_text":"↹⩛11150215=(⊲⪭↹⩛21313)⩌⋺(↹⩛14252⪪↹⩛12031)","cot":[{"info":"⊲⪭↹⩛21313=↹⩛-22203","layer":1},{"info":"↹⩛14252⪪↹⩛12031=↹⩛-11124333","layer":1},{"info":"↹⩛-22203⩌⋺↹⩛-11124333=↹⩛11150215","layer":0}]}
{"id":381,"expression_no_base_symbol":"$1326$⪨⊡$2334$⫸⊐(⋎⨆$3764$)","expression":"↹⩛10050⪨⊡↹⩛14450⫸⊐(⋎⨆↹⩛25232)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":43,"operation_count":3,"complexity_ratio":14.333333333333334,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1326,"base":6},"right_expr":{"type":"numeric_atoms","value":2334,"base":6}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":3764,"base":6}}},"used_operators":["mqXw5SEYmG","kuIXHzHcAH","E64sFOc4tB"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1326","layer":2},{"info":"number node, value=2334","layer":2},{"info":"compute binary expreesion, left_input=1326, right_input=2334, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=3764","layer":2},{"info":"compute unary expreesion, input=3764, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, 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=0","layer":0}],"base":6,"result_base":6,"text":"↹⩛10050⪨⊡↹⩛14450⫸⊐(⋎⨆↹⩛25232)=↹⩛0","reverse_text":"↹⩛0=↹⩛10050⪨⊡↹⩛14450⫸⊐(⋎⨆↹⩛25232)","cot":[{"info":"↹⩛10050⪨⊡↹⩛14450=↹⩛0","layer":1},{"info":"⋎⨆↹⩛25232=↹⩛0","layer":1},{"info":"↹⩛0⫸⊐↹⩛0=↹⩛0","layer":0}]}
{"id":382,"expression_no_base_symbol":"(-$4059$)⫰⋱($2553$⇋≉)","expression":"(-↹⩛30443)⫰⋱(↹⩛15453⇋≉)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4059,"base":6}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2553,"base":6}}},"used_operators":["6o9Blt3TJ6","t8gj7n24qd","XIabStNQrY"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛30540","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4059","layer":2},{"info":"compute unary expreesion, input=4059, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4059","layer":1},{"info":"number node, value=2553","layer":2},{"info":"compute unary expreesion, input=2553, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=5008","layer":1},{"info":"compute binary expreesion, left_input=-4059, right_input=5008, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=4092","layer":0}],"base":6,"result_base":6,"text":"(-↹⩛30443)⫰⋱(↹⩛15453⇋≉)=↹⩛30540","reverse_text":"↹⩛30540=(-↹⩛30443)⫰⋱(↹⩛15453⇋≉)","cot":[{"info":"-↹⩛30443=↹⩛-30443","layer":1},{"info":"↹⩛15453⇋≉=↹⩛35104","layer":1},{"info":"↹⩛-30443⫰⋱↹⩛35104=↹⩛30540","layer":0}]}
{"id":383,"expression_no_base_symbol":"($1233$⪔⊥$2196$)⨽∌($2393$⨔⇊$3918$)","expression":"(↹⩛5413⪔⊥↹⩛14100)⨽∌(↹⩛15025⨔⇊↹⩛30050)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":75,"operation_count":3,"complexity_ratio":25.0,"tree":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1233,"base":6},"right_expr":{"type":"numeric_atoms","value":2196,"base":6}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2393,"base":6},"right_expr":{"type":"numeric_atoms","value":3918,"base":6}}},"used_operators":["9samAPKr6k","HJ9erzHUuu","JclMnS0uGI"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1233","layer":2},{"info":"number node, value=2196","layer":2},{"info":"compute binary expreesion, left_input=1233, right_input=2196, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=341","layer":1},{"info":"number node, value=2393","layer":2},{"info":"number node, value=3918","layer":2},{"info":"compute binary expreesion, left_input=2393, right_input=3918, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=3918","layer":1},{"info":"compute binary expreesion, left_input=341, right_input=3918, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5413⪔⊥↹⩛14100)⨽∌(↹⩛15025⨔⇊↹⩛30050)=↹⩛0","reverse_text":"↹⩛0=(↹⩛5413⪔⊥↹⩛14100)⨽∌(↹⩛15025⨔⇊↹⩛30050)","cot":[{"info":"↹⩛5413⪔⊥↹⩛14100=↹⩛1325","layer":1},{"info":"↹⩛15025⨔⇊↹⩛30050=↹⩛30050","layer":1},{"info":"↹⩛1325⨽∌↹⩛30050=↹⩛0","layer":0}]}
{"id":384,"expression_no_base_symbol":"($2662$⩱)∌↝(⨈⫕$3627$)","expression":"(↹⩛20154⩱)∌↝(⨈⫕↹⩛24443)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":422,"operation_count":3,"complexity_ratio":140.66666666666666,"tree":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"numeric_atoms","value":2662,"base":6}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3627,"base":6}}},"used_operators":["9Isq31Ruls","uyq1hVkAcj","megm06wKyl"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"↹⩛143","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2662","layer":2},{"info":"compute unary expreesion, input=2662, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-16222","layer":1},{"info":"number node, value=3627","layer":2},{"info":"compute unary expreesion, input=3627, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=-16222, right_input=-21, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=63","layer":0}],"base":6,"result_base":6,"text":"(↹⩛20154⩱)∌↝(⨈⫕↹⩛24443)=↹⩛143","reverse_text":"↹⩛143=(↹⩛20154⩱)∌↝(⨈⫕↹⩛24443)","cot":[{"info":"↹⩛20154⩱=↹⩛-203034","layer":1},{"info":"⨈⫕↹⩛24443=↹⩛-33","layer":1},{"info":"↹⩛-203034∌↝↹⩛-33=↹⩛143","layer":0}]}
{"id":385,"expression_no_base_symbol":"⊁⨺($2270$⪭≯$5078$)","expression":"⊁⨺(↹⩛14302⪭≯↹⩛35302)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":204,"operation_count":2,"complexity_ratio":102.0,"tree":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":2270,"base":6},"right_expr":{"type":"numeric_atoms","value":5078,"base":6}}},"used_operators":["PxiHyQbrIp","XAx5wpdLa6"],"dependent_operators":["rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2270","layer":2},{"info":"number node, value=5078","layer":2},{"info":"compute binary expreesion, left_input=2270, right_input=5078, 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 = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⊁⨺(↹⩛14302⪭≯↹⩛35302)=NaN","reverse_text":"NaN=⊁⨺(↹⩛14302⪭≯↹⩛35302)","cot":[{"info":"↹⩛14302⪭≯↹⩛35302=NaN","layer":1},{"info":"⊁⨺NaN=NaN","layer":0}]}
{"id":386,"expression_no_base_symbol":"(↩$2463$)⋥≓≎($3065$/$3579$)","expression":"(↩↹⩛15223)⋥≓≎(↹⩛22105/↹⩛24323)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19,"operation_count":3,"complexity_ratio":6.333333333333333,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2463,"base":6}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3065,"base":6},"right_expr":{"type":"numeric_atoms","value":3579,"base":6}}},"used_operators":["Qy55tPpLXF","jLgFTUHLKL","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2463","layer":2},{"info":"compute unary expreesion, input=2463, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-16924","layer":1},{"info":"number node, value=3065","layer":2},{"info":"number node, value=3579","layer":2},{"info":"compute binary expreesion, left_input=3065, right_input=3579, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=-16924, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":6,"result_base":6,"text":"(↩↹⩛15223)⋥≓≎(↹⩛22105/↹⩛24323)=↹⩛151","reverse_text":"↹⩛151=(↩↹⩛15223)⋥≓≎(↹⩛22105/↹⩛24323)","cot":[{"info":"↩↹⩛15223=↹⩛-210204","layer":1},{"info":"↹⩛22105/↹⩛24323=↹⩛0","layer":1},{"info":"↹⩛-210204⋥≓≎↹⩛0=↹⩛151","layer":0}]}
{"id":387,"expression_no_base_symbol":"$3393$∣$1234$⊹∫⫚$2577$⪥$2606$","expression":"↹⩛23413∣↹⩛5414⊹∫⫚↹⩛15533⪥↹⩛20022","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":183,"operation_count":3,"complexity_ratio":61.0,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":3393,"base":6},"right_expr":{"type":"numeric_atoms","value":1234,"base":6}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2577,"base":6},"right_expr":{"type":"numeric_atoms","value":2606,"base":6}}},"used_operators":["uWAJUKEvyW","PPChnnnBFF","QbnwKVWMIQ"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"↹⩛-1344","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3393","layer":2},{"info":"number node, value=1234","layer":2},{"info":"compute binary expreesion, left_input=3393, right_input=1234, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=3393","layer":1},{"info":"number node, value=2577","layer":2},{"info":"number node, value=2606","layer":2},{"info":"compute binary expreesion, left_input=2577, right_input=2606, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=14960","layer":1},{"info":"compute binary expreesion, left_input=3393, right_input=14960, 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":0}],"base":6,"result_base":6,"text":"↹⩛23413∣↹⩛5414⊹∫⫚↹⩛15533⪥↹⩛20022=↹⩛-1344","reverse_text":"↹⩛-1344=↹⩛23413∣↹⩛5414⊹∫⫚↹⩛15533⪥↹⩛20022","cot":[{"info":"↹⩛23413∣↹⩛5414=↹⩛23413","layer":1},{"info":"↹⩛15533⪥↹⩛20022=↹⩛153132","layer":1},{"info":"↹⩛23413⊹∫⫚↹⩛153132=↹⩛-1344","layer":0}]}
{"id":388,"expression_no_base_symbol":"$1216$≎⊠⪸$3265$⊿∆","expression":"↹⩛5344≎⊠⪸↹⩛23041⊿∆","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":273,"operation_count":2,"complexity_ratio":136.5,"tree":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1216,"base":6},"right_expr":{"type":"numeric_atoms","value":3265,"base":6}}},"used_operators":["fv3ZujxkQL","bJkvcejdHO"],"dependent_operators":["NTOWxs364D","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"↹⩛-21252155","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1216","layer":2},{"info":"number node, value=3265","layer":2},{"info":"compute binary expreesion, left_input=1216, right_input=3265, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=314471","layer":1},{"info":"compute unary expreesion, input=314471, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-629063","layer":0}],"base":6,"result_base":6,"text":"↹⩛5344≎⊠⪸↹⩛23041⊿∆=↹⩛-21252155","reverse_text":"↹⩛-21252155=↹⩛5344≎⊠⪸↹⩛23041⊿∆","cot":[{"info":"↹⩛5344≎⊠⪸↹⩛23041=↹⩛10423515","layer":1},{"info":"↹⩛10423515⊿∆=↹⩛-21252155","layer":0}]}
{"id":389,"expression_no_base_symbol":"⩩($6398$-$2686$)","expression":"⩩(↹⩛45342-↹⩛20234)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4649,"operation_count":2,"complexity_ratio":2324.5,"tree":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6398,"base":6},"right_expr":{"type":"numeric_atoms","value":2686,"base":6}}},"used_operators":["kMhfGuqI2H","rysDP5nf3Z"],"dependent_operators":["6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=6398","layer":2},{"info":"number node, value=2686","layer":2},{"info":"compute binary expreesion, left_input=6398, right_input=2686, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3712","layer":1},{"info":"compute unary expreesion, input=3712, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⩩(↹⩛45342-↹⩛20234)=NaN","reverse_text":"NaN=⩩(↹⩛45342-↹⩛20234)","cot":[{"info":"↹⩛45342-↹⩛20234=↹⩛25104","layer":1},{"info":"⩩↹⩛25104=NaN","layer":0}]}
{"id":390,"expression_no_base_symbol":"($4110$⊟⇱)-($3678$⋩≍≻)","expression":"(↹⩛31010⊟⇱)-(↹⩛25010⋩≍≻)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19,"operation_count":3,"complexity_ratio":6.333333333333333,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":4110,"base":6}},"right_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":3678,"base":6}}},"used_operators":["rysDP5nf3Z","03sUfWo75k","WYd1w68Nbz"],"dependent_operators":["IWmyXbctLI","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C"],"result":"↹⩛103435","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4110","layer":2},{"info":"compute unary expreesion, input=4110, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=8536","layer":1},{"info":"number node, value=3678","layer":2},{"info":"compute unary expreesion, input=3678, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":1},{"info":"compute binary expreesion, left_input=8536, right_input=-55, op_id = rysDP5nf3Z binary_op_definition= 'None', output=8591","layer":0}],"base":6,"result_base":6,"text":"(↹⩛31010⊟⇱)-(↹⩛25010⋩≍≻)=↹⩛103435","reverse_text":"↹⩛103435=(↹⩛31010⊟⇱)-(↹⩛25010⋩≍≻)","cot":[{"info":"↹⩛31010⊟⇱=↹⩛103304","layer":1},{"info":"↹⩛25010⋩≍≻=↹⩛-131","layer":1},{"info":"↹⩛103304-↹⩛-131=↹⩛103435","layer":0}]}
{"id":391,"expression_no_base_symbol":"($4408$⊚⫡⫭)⩷∴$2437$≦↸$3034$","expression":"(↹⩛32224⊚⫡⫭)⩷∴↹⩛15141≦↸↹⩛22014","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":43,"operation_count":3,"complexity_ratio":14.333333333333334,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":4408,"base":6}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2437,"base":6},"right_expr":{"type":"numeric_atoms","value":3034,"base":6}}},"used_operators":["9FxExcQeMw","SpZWOsLKZJ","RygbFNSyEJ"],"dependent_operators":["rysDP5nf3Z","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"↹⩛33450","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4408","layer":2},{"info":"compute unary expreesion, input=4408, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-7890","layer":1},{"info":"number node, value=2437","layer":2},{"info":"number node, value=3034","layer":2},{"info":"compute binary expreesion, left_input=2437, right_input=3034, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-10261","layer":1},{"info":"compute binary expreesion, left_input=-7890, right_input=-10261, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4710","layer":0}],"base":6,"result_base":6,"text":"(↹⩛32224⊚⫡⫭)⩷∴↹⩛15141≦↸↹⩛22014=↹⩛33450","reverse_text":"↹⩛33450=(↹⩛32224⊚⫡⫭)⩷∴↹⩛15141≦↸↹⩛22014","cot":[{"info":"↹⩛32224⊚⫡⫭=↹⩛-100310","layer":1},{"info":"↹⩛15141≦↸↹⩛22014=↹⩛-115301","layer":1},{"info":"↹⩛-100310⩷∴↹⩛-115301=↹⩛33450","layer":0}]}
{"id":392,"expression_no_base_symbol":"($4362$↓$1132$)≦↸($1779$⩌⋺$3868$)","expression":"(↹⩛32110↓↹⩛5124)≦↸(↹⩛12123⩌⋺↹⩛25524)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16175,"operation_count":3,"complexity_ratio":5391.666666666667,"tree":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":4362,"base":6},"right_expr":{"type":"numeric_atoms","value":1132,"base":6}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1779,"base":6},"right_expr":{"type":"numeric_atoms","value":3868,"base":6}}},"used_operators":["RygbFNSyEJ","Af076pWI7l","g7Hmc5v1ko"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"↹⩛3435","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4362","layer":2},{"info":"number node, value=1132","layer":2},{"info":"compute binary expreesion, left_input=4362, right_input=1132, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"number node, value=1779","layer":2},{"info":"number node, value=3868","layer":2},{"info":"compute binary expreesion, left_input=1779, right_input=3868, 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=-5768","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=-5768, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=815","layer":0}],"base":6,"result_base":6,"text":"(↹⩛32110↓↹⩛5124)≦↸(↹⩛12123⩌⋺↹⩛25524)=↹⩛3435","reverse_text":"↹⩛3435=(↹⩛32110↓↹⩛5124)≦↸(↹⩛12123⩌⋺↹⩛25524)","cot":[{"info":"↹⩛32110↓↹⩛5124=↹⩛-342","layer":1},{"info":"↹⩛12123⩌⋺↹⩛25524=↹⩛-42412","layer":1},{"info":"↹⩛-342≦↸↹⩛-42412=↹⩛3435","layer":0}]}
{"id":393,"expression_no_base_symbol":"≛$2901$⨫⇇↔$2256$","expression":"≛↹⩛21233⨫⇇↔↹⩛14240","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":42,"operation_count":2,"complexity_ratio":21.0,"tree":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2901,"base":6},"right_expr":{"type":"numeric_atoms","value":2256,"base":6}}},"used_operators":["W7eaUhjymW","LXhwmt4mBO"],"dependent_operators":["W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK"],"result":"↹⩛-5551","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2901","layer":2},{"info":"number node, value=2256","layer":2},{"info":"compute binary expreesion, left_input=2901, right_input=2256, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute unary expreesion, input=-527, 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=-1291","layer":0}],"base":6,"result_base":6,"text":"≛↹⩛21233⨫⇇↔↹⩛14240=↹⩛-5551","reverse_text":"↹⩛-5551=≛↹⩛21233⨫⇇↔↹⩛14240","cot":[{"info":"↹⩛21233⨫⇇↔↹⩛14240=↹⩛-2235","layer":1},{"info":"≛↹⩛-2235=↹⩛-5551","layer":0}]}
{"id":394,"expression_no_base_symbol":"($1283$⫁$2126$)⇂≾⫗($7104$⇍⊗$1116$)","expression":"(↹⩛5535⫁↹⩛13502)⇂≾⫗(↹⩛52520⇍⊗↹⩛5100)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":209,"operation_count":3,"complexity_ratio":69.66666666666667,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1283,"base":6},"right_expr":{"type":"numeric_atoms","value":2126,"base":6}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":7104,"base":6},"right_expr":{"type":"numeric_atoms","value":1116,"base":6}}},"used_operators":["aBQ6xLxuTc","0ajvFaJAv0","5uvYHDjeKN"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","cHh1gJQ2o6","AHs5Up7iyr","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"↹⩛-3114","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1283","layer":2},{"info":"number node, value=2126","layer":2},{"info":"compute binary expreesion, left_input=1283, right_input=2126, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"number node, value=7104","layer":2},{"info":"number node, value=1116","layer":2},{"info":"compute binary expreesion, left_input=7104, right_input=1116, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-244, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-694","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5535⫁↹⩛13502)⇂≾⫗(↹⩛52520⇍⊗↹⩛5100)=↹⩛-3114","reverse_text":"↹⩛-3114=(↹⩛5535⫁↹⩛13502)⇂≾⫗(↹⩛52520⇍⊗↹⩛5100)","cot":[{"info":"↹⩛5535⫁↹⩛13502=↹⩛424","layer":1},{"info":"↹⩛52520⇍⊗↹⩛5100=↹⩛-1044","layer":1},{"info":"↹⩛424⇂≾⫗↹⩛-1044=↹⩛-3114","layer":0}]}
{"id":395,"expression_no_base_symbol":"$1886$⨂≜$4053$⨽⪊≇","expression":"↹⩛12422⨂≜↹⩛30433⨽⪊≇","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1928,"operation_count":2,"complexity_ratio":964.0,"tree":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1886,"base":6},"right_expr":{"type":"numeric_atoms","value":4053,"base":6}}},"used_operators":["nlCqmYiOvY","k1SHOSEABc"],"dependent_operators":["W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1886","layer":2},{"info":"number node, value=4053","layer":2},{"info":"compute binary expreesion, left_input=1886, right_input=4053, 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 = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛12422⨂≜↹⩛30433⨽⪊≇=NaN","reverse_text":"NaN=↹⩛12422⨂≜↹⩛30433⨽⪊≇","cot":[{"info":"↹⩛12422⨂≜↹⩛30433=NaN","layer":1},{"info":"NaN⨽⪊≇=NaN","layer":0}]}
{"id":396,"expression_no_base_symbol":"($9311$↼⊘⨖$3138$)↳≱($7993$⇐≅)","expression":"(↹⩛111035↼⊘⨖↹⩛22310)↳≱(↹⩛101001⇐≅)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":102,"operation_count":3,"complexity_ratio":34.0,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":9311,"base":6},"right_expr":{"type":"numeric_atoms","value":3138,"base":6}},"right_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"numeric_atoms","value":7993,"base":6}}},"used_operators":["JwTKLfZU96","bPywburJMS","wEfv7U73WA"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=9311","layer":2},{"info":"number node, value=3138","layer":2},{"info":"compute binary expreesion, left_input=9311, right_input=3138, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=6054","layer":1},{"info":"number node, value=7993","layer":2},{"info":"compute unary expreesion, input=7993, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=23947","layer":1},{"info":"compute binary expreesion, left_input=6054, right_input=23947, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":6,"result_base":6,"text":"(↹⩛111035↼⊘⨖↹⩛22310)↳≱(↹⩛101001⇐≅)=↹⩛0","reverse_text":"↹⩛0=(↹⩛111035↼⊘⨖↹⩛22310)↳≱(↹⩛101001⇐≅)","cot":[{"info":"↹⩛111035↼⊘⨖↹⩛22310=↹⩛44010","layer":1},{"info":"↹⩛101001⇐≅=↹⩛302511","layer":1},{"info":"↹⩛44010↳≱↹⩛302511=↹⩛0","layer":0}]}
{"id":397,"expression_no_base_symbol":"$3319$⩒⫫$2654$⪨⊡(⊥$1852$)","expression":"↹⩛23211⩒⫫↹⩛20142⪨⊡(⊥↹⩛12324)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":37,"operation_count":3,"complexity_ratio":12.333333333333334,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3319,"base":6},"right_expr":{"type":"numeric_atoms","value":2654,"base":6}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1852,"base":6}}},"used_operators":["kuIXHzHcAH","KFSx94NKJn","Q3PJZHRvZv"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3319","layer":2},{"info":"number node, value=2654","layer":2},{"info":"compute binary expreesion, left_input=3319, right_input=2654, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3017","layer":1},{"info":"number node, value=1852","layer":2},{"info":"compute unary expreesion, input=1852, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3017, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛23211⩒⫫↹⩛20142⪨⊡(⊥↹⩛12324)=NaN","reverse_text":"NaN=↹⩛23211⩒⫫↹⩛20142⪨⊡(⊥↹⩛12324)","cot":[{"info":"↹⩛23211⩒⫫↹⩛20142=↹⩛21545","layer":1},{"info":"⊥↹⩛12324=NaN","layer":1},{"info":"↹⩛21545⪨⊡NaN=NaN","layer":0}]}
{"id":398,"expression_no_base_symbol":"($5793$⇔⨋)+⪬∐$1169$⊢$7113$","expression":"(↹⩛42453⇔⨋)+⪬∐↹⩛5225⊢↹⩛52533","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":54,"operation_count":3,"complexity_ratio":18.0,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":5793,"base":6}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1169,"base":6},"right_expr":{"type":"numeric_atoms","value":7113,"base":6}}},"used_operators":["2GS7woTJqF","uBihLCJcMX","5twsqlHp2o"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"↹⩛-2055520","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5793","layer":2},{"info":"compute unary expreesion, input=5793, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=33688","layer":1},{"info":"number node, value=1169","layer":2},{"info":"number node, value=7113","layer":2},{"info":"compute binary expreesion, left_input=1169, right_input=7113, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2582","layer":1},{"info":"compute binary expreesion, left_input=33688, right_input=-2582, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-101064","layer":0}],"base":6,"result_base":6,"text":"(↹⩛42453⇔⨋)+⪬∐↹⩛5225⊢↹⩛52533=↹⩛-2055520","reverse_text":"↹⩛-2055520=(↹⩛42453⇔⨋)+⪬∐↹⩛5225⊢↹⩛52533","cot":[{"info":"↹⩛42453⇔⨋=↹⩛415544","layer":1},{"info":"↹⩛5225⊢↹⩛52533=↹⩛-15542","layer":1},{"info":"↹⩛415544+⪬∐↹⩛-15542=↹⩛-2055520","layer":0}]}
{"id":399,"expression_no_base_symbol":"($6722$⨶)⪭≯($2553$⩵∡$1538$)","expression":"(↹⩛51042⨶)⪭≯(↹⩛15453⩵∡↹⩛11042)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":191,"operation_count":3,"complexity_ratio":63.666666666666664,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":6722,"base":6}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2553,"base":6},"right_expr":{"type":"numeric_atoms","value":1538,"base":6}}},"used_operators":["XAx5wpdLa6","rFxw8gIMmB","Y7wcNGrDQJ"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","f6k1SAg4EE","Qy55tPpLXF","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6722","layer":2},{"info":"compute unary expreesion, input=6722, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=11698","layer":1},{"info":"number node, value=2553","layer":2},{"info":"number node, value=1538","layer":2},{"info":"compute binary expreesion, left_input=2553, right_input=1538, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-3689","layer":1},{"info":"compute binary expreesion, left_input=11698, right_input=-3689, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛51042⨶)⪭≯(↹⩛15453⩵∡↹⩛11042)=NaN","reverse_text":"NaN=(↹⩛51042⨶)⪭≯(↹⩛15453⩵∡↹⩛11042)","cot":[{"info":"↹⩛51042⨶=↹⩛130054","layer":1},{"info":"↹⩛15453⩵∡↹⩛11042=↹⩛-25025","layer":1},{"info":"↹⩛130054⪭≯↹⩛-25025=NaN","layer":0}]}
{"id":400,"expression_no_base_symbol":"≘($4654$∙⊟$1370$)","expression":"≘(↹⩛33314∙⊟↹⩛10202)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4927,"operation_count":2,"complexity_ratio":2463.5,"tree":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":4654,"base":6},"right_expr":{"type":"numeric_atoms","value":1370,"base":6}}},"used_operators":["tcjXMdvYtA","SxTAKzQCrw"],"dependent_operators":["XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"↹⩛23220415244","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4654","layer":2},{"info":"number node, value=1370","layer":2},{"info":"compute binary expreesion, left_input=4654, right_input=1370, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=70348","layer":1},{"info":"compute unary expreesion, input=70348, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=155118124","layer":0}],"base":6,"result_base":6,"text":"≘(↹⩛33314∙⊟↹⩛10202)=↹⩛23220415244","reverse_text":"↹⩛23220415244=≘(↹⩛33314∙⊟↹⩛10202)","cot":[{"info":"↹⩛33314∙⊟↹⩛10202=↹⩛1301404","layer":1},{"info":"≘↹⩛1301404=↹⩛23220415244","layer":0}]}
{"id":401,"expression_no_base_symbol":"($4219$⊹≧⊝)↞⋁($2296$∺≝⩲$3093$)","expression":"(↹⩛31311⊹≧⊝)↞⋁(↹⩛14344∺≝⩲↹⩛22153)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":204,"operation_count":3,"complexity_ratio":68.0,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":4219,"base":6}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2296,"base":6},"right_expr":{"type":"numeric_atoms","value":3093,"base":6}}},"used_operators":["RqrPlJkxDo","LxFB4K6j0n","KPf6cnQVty"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4219","layer":2},{"info":"compute unary expreesion, input=4219, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-16876","layer":1},{"info":"number node, value=2296","layer":2},{"info":"number node, value=3093","layer":2},{"info":"compute binary expreesion, left_input=2296, right_input=3093, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-16876, right_input=160, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛31311⊹≧⊝)↞⋁(↹⩛14344∺≝⩲↹⩛22153)=NaN","reverse_text":"NaN=(↹⩛31311⊹≧⊝)↞⋁(↹⩛14344∺≝⩲↹⩛22153)","cot":[{"info":"↹⩛31311⊹≧⊝=↹⩛-210044","layer":1},{"info":"↹⩛14344∺≝⩲↹⩛22153=↹⩛424","layer":1},{"info":"↹⩛-210044↞⋁↹⩛424=NaN","layer":0}]}
{"id":402,"expression_no_base_symbol":"($4214$∀⇚≩$5838$)⫣⪄⊒($1533$/$1970$)","expression":"(↹⩛31302∀⇚≩↹⩛43010)⫣⪄⊒(↹⩛11033/↹⩛13042)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29548,"operation_count":3,"complexity_ratio":9849.333333333334,"tree":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4214,"base":6},"right_expr":{"type":"numeric_atoms","value":5838,"base":6}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1533,"base":6},"right_expr":{"type":"numeric_atoms","value":1970,"base":6}}},"used_operators":["RabNbG55vr","LRNGc0VcxI","XhwjNDsVaA"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","X99M06cbEe","rysDP5nf3Z"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4214","layer":2},{"info":"number node, value=5838","layer":2},{"info":"compute binary expreesion, left_input=4214, right_input=5838, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1533","layer":2},{"info":"number node, value=1970","layer":2},{"info":"compute binary expreesion, left_input=1533, right_input=1970, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":0}],"base":6,"result_base":6,"text":"(↹⩛31302∀⇚≩↹⩛43010)⫣⪄⊒(↹⩛11033/↹⩛13042)=↹⩛424","reverse_text":"↹⩛424=(↹⩛31302∀⇚≩↹⩛43010)⫣⪄⊒(↹⩛11033/↹⩛13042)","cot":[{"info":"↹⩛31302∀⇚≩↹⩛43010=NaN","layer":1},{"info":"↹⩛11033/↹⩛13042=↹⩛0","layer":1},{"info":"NaN⫣⪄⊒↹⩛0=↹⩛424","layer":0}]}
{"id":403,"expression_no_base_symbol":"$4256$⋛$1481$↺(⇵⪽$1552$)","expression":"↹⩛31412⋛↹⩛10505↺(⇵⪽↹⩛11104)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":267,"operation_count":3,"complexity_ratio":89.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":4256,"base":6},"right_expr":{"type":"numeric_atoms","value":1481,"base":6}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":1552,"base":6}}},"used_operators":["7j4O788W3g","YbUVn0Rbpy","ZGCBLdVRRX"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4256","layer":2},{"info":"number node, value=1481","layer":2},{"info":"compute binary expreesion, left_input=4256, right_input=1481, 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=-93888","layer":1},{"info":"number node, value=1552","layer":2},{"info":"compute unary expreesion, input=1552, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-93888, 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":6,"result_base":6,"text":"↹⩛31412⋛↹⩛10505↺(⇵⪽↹⩛11104)=NaN","reverse_text":"NaN=↹⩛31412⋛↹⩛10505↺(⇵⪽↹⩛11104)","cot":[{"info":"↹⩛31412⋛↹⩛10505=↹⩛-2002400","layer":1},{"info":"⇵⪽↹⩛11104=NaN","layer":1},{"info":"↹⩛-2002400↺NaN=NaN","layer":0}]}
{"id":404,"expression_no_base_symbol":"($3747$⊬⫿⊭)⊱⇼⊻$1614$↹⊜$1841$","expression":"(↹⩛25203⊬⫿⊭)⊱⇼⊻↹⩛11250↹⊜↹⩛12305","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":48,"operation_count":3,"complexity_ratio":16.0,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":3747,"base":6}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1614,"base":6},"right_expr":{"type":"numeric_atoms","value":1841,"base":6}}},"used_operators":["FyVja0WsTP","v0DYgG9ikt","9bazX3JMtO"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"↹⩛-523110","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3747","layer":2},{"info":"compute unary expreesion, input=3747, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-11241","layer":1},{"info":"number node, value=1614","layer":2},{"info":"number node, value=1841","layer":2},{"info":"compute binary expreesion, left_input=1614, right_input=1841, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-4232","layer":1},{"info":"compute binary expreesion, left_input=-11241, right_input=-4232, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=-42162","layer":0}],"base":6,"result_base":6,"text":"(↹⩛25203⊬⫿⊭)⊱⇼⊻↹⩛11250↹⊜↹⩛12305=↹⩛-523110","reverse_text":"↹⩛-523110=(↹⩛25203⊬⫿⊭)⊱⇼⊻↹⩛11250↹⊜↹⩛12305","cot":[{"info":"↹⩛25203⊬⫿⊭=↹⩛-124013","layer":1},{"info":"↹⩛11250↹⊜↹⩛12305=↹⩛-31332","layer":1},{"info":"↹⩛-124013⊱⇼⊻↹⩛-31332=↹⩛-523110","layer":0}]}
{"id":405,"expression_no_base_symbol":"($5761$∲⫓$6539$)∷(⫶⊄≣$1104$)","expression":"(↹⩛42401∲⫓↹⩛50135)∷(⫶⊄≣↹⩛5040)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1135,"operation_count":3,"complexity_ratio":378.3333333333333,"tree":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5761,"base":6},"right_expr":{"type":"numeric_atoms","value":6539,"base":6}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":1104,"base":6}}},"used_operators":["D3AQDKkPcf","i8ToyICDmI","wxb3vTeyAj"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI"],"result":"↹⩛2102324401","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5761","layer":2},{"info":"number node, value=6539","layer":2},{"info":"compute binary expreesion, left_input=5761, right_input=6539, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1104","layer":2},{"info":"compute unary expreesion, input=1104, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=21955249","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=21955249, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=21955249","layer":0}],"base":6,"result_base":6,"text":"(↹⩛42401∲⫓↹⩛50135)∷(⫶⊄≣↹⩛5040)=↹⩛2102324401","reverse_text":"↹⩛2102324401=(↹⩛42401∲⫓↹⩛50135)∷(⫶⊄≣↹⩛5040)","cot":[{"info":"↹⩛42401∲⫓↹⩛50135=↹⩛0","layer":1},{"info":"⫶⊄≣↹⩛5040=↹⩛2102324401","layer":1},{"info":"↹⩛0∷↹⩛2102324401=↹⩛2102324401","layer":0}]}
{"id":406,"expression_no_base_symbol":"($8610$⪕$2048$)∩⋅","expression":"(↹⩛103510⪕↹⩛13252)∩⋅","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15,"operation_count":2,"complexity_ratio":7.5,"tree":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":8610,"base":6},"right_expr":{"type":"numeric_atoms","value":2048,"base":6}}},"used_operators":["2MzE1hQ0cz","umQnsF7QlU"],"dependent_operators":["Qy55tPpLXF","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"↹⩛-201504","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8610","layer":2},{"info":"number node, value=2048","layer":2},{"info":"compute binary expreesion, left_input=8610, right_input=2048, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=16073","layer":1},{"info":"compute unary expreesion, input=16073, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-15952","layer":0}],"base":6,"result_base":6,"text":"(↹⩛103510⪕↹⩛13252)∩⋅=↹⩛-201504","reverse_text":"↹⩛-201504=(↹⩛103510⪕↹⩛13252)∩⋅","cot":[{"info":"↹⩛103510⪕↹⩛13252=↹⩛202225","layer":1},{"info":"↹⩛202225∩⋅=↹⩛-201504","layer":0}]}
{"id":407,"expression_no_base_symbol":"$1199$⨑⩅≇$1509$≑≱⪘","expression":"↹⩛5315⨑⩅≇↹⩛10553≑≱⪘","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1676,"operation_count":2,"complexity_ratio":838.0,"tree":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1199,"base":6},"right_expr":{"type":"numeric_atoms","value":1509,"base":6}}},"used_operators":["tGSeddj7UK","h92wMvzauj"],"dependent_operators":["9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"↹⩛2134205","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1199","layer":2},{"info":"number node, value=1509","layer":2},{"info":"compute binary expreesion, left_input=1199, right_input=1509, 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=-3597","layer":1},{"info":"compute unary expreesion, input=-3597, 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=105917","layer":0}],"base":6,"result_base":6,"text":"↹⩛5315⨑⩅≇↹⩛10553≑≱⪘=↹⩛2134205","reverse_text":"↹⩛2134205=↹⩛5315⨑⩅≇↹⩛10553≑≱⪘","cot":[{"info":"↹⩛5315⨑⩅≇↹⩛10553=↹⩛-24353","layer":1},{"info":"↹⩛-24353≑≱⪘=↹⩛2134205","layer":0}]}
{"id":408,"expression_no_base_symbol":"⊖∈(⇜⊴$1081$)","expression":"⊖∈(⇜⊴↹⩛5001)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":724324,"operation_count":2,"complexity_ratio":362162.0,"tree":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1081,"base":6}}},"used_operators":["YFxL8Sc2Zy","XwDhCwWbUn"],"dependent_operators":["zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ"],"result":"Inf","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1081","layer":2},{"info":"compute unary expreesion, input=1081, 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=-241402","layer":1},{"info":"compute unary expreesion, input=-241402, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=inf","layer":0}],"base":6,"result_base":6,"text":"⊖∈(⇜⊴↹⩛5001)=Inf","reverse_text":"Inf=⊖∈(⇜⊴↹⩛5001)","cot":[{"info":"⇜⊴↹⩛5001=↹⩛-5101334","layer":1},{"info":"⊖∈↹⩛-5101334=Inf","layer":0}]}
{"id":409,"expression_no_base_symbol":"$3679$↹⊜$1967$⨁⊸⫻","expression":"↹⩛25011↹⊜↹⩛13035⨁⊸⫻","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":26,"operation_count":2,"complexity_ratio":13.0,"tree":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":3679,"base":6},"right_expr":{"type":"numeric_atoms","value":1967,"base":6}}},"used_operators":["glklzrTFfD","9bazX3JMtO"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"↹⩛-5340","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3679","layer":2},{"info":"number node, value=1967","layer":2},{"info":"compute binary expreesion, left_input=3679, right_input=1967, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-606","layer":1},{"info":"compute unary expreesion, input=-606, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-1212","layer":0}],"base":6,"result_base":6,"text":"↹⩛25011↹⊜↹⩛13035⨁⊸⫻=↹⩛-5340","reverse_text":"↹⩛-5340=↹⩛25011↹⊜↹⩛13035⨁⊸⫻","cot":[{"info":"↹⩛25011↹⊜↹⩛13035=↹⩛-2450","layer":1},{"info":"↹⩛-2450⨁⊸⫻=↹⩛-5340","layer":0}]}
{"id":410,"expression_no_base_symbol":"⨩∲⋌$2319$≌$3570$","expression":"⨩∲⋌↹⩛14423≌↹⩛24310","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3704,"operation_count":2,"complexity_ratio":1852.0,"tree":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2319,"base":6},"right_expr":{"type":"numeric_atoms","value":3570,"base":6}}},"used_operators":["aSik1wnThz","lyWz822IDG"],"dependent_operators":["rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2319","layer":2},{"info":"number node, value=3570","layer":2},{"info":"compute binary expreesion, left_input=2319, right_input=3570, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⨩∲⋌↹⩛14423≌↹⩛24310=NaN","reverse_text":"NaN=⨩∲⋌↹⩛14423≌↹⩛24310","cot":[{"info":"↹⩛14423≌↹⩛24310=NaN","layer":1},{"info":"⨩∲⋌NaN=NaN","layer":0}]}
{"id":411,"expression_no_base_symbol":"($3344$⨕⋳)↑","expression":"(↹⩛23252⨕⋳)↑","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":100,"operation_count":2,"complexity_ratio":50.0,"tree":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":3344,"base":6}}},"used_operators":["BThhyOhh10","4X4GscPmMf"],"dependent_operators":["i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ"],"result":"↹⩛1010","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3344","layer":2},{"info":"compute unary expreesion, input=3344, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=213900","layer":1},{"info":"compute unary expreesion, input=213900, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":0}],"base":6,"result_base":6,"text":"(↹⩛23252⨕⋳)↑=↹⩛1010","reverse_text":"↹⩛1010=(↹⩛23252⨕⋳)↑","cot":[{"info":"↹⩛23252⨕⋳=↹⩛4330140","layer":1},{"info":"↹⩛4330140↑=↹⩛1010","layer":0}]}
{"id":412,"expression_no_base_symbol":"≉(↩⪖$1498$)","expression":"≉(↩⪖↹⩛10534)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":21,"operation_count":2,"complexity_ratio":10.5,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1498,"base":6}}},"used_operators":["e1ybzncUwg","fG6uBQFnGz"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"↹⩛-131230","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1498","layer":2},{"info":"compute unary expreesion, input=1498, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-11970","layer":1},{"info":"compute unary expreesion, input=-11970, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-11970","layer":0}],"base":6,"result_base":6,"text":"≉(↩⪖↹⩛10534)=↹⩛-131230","reverse_text":"↹⩛-131230=≉(↩⪖↹⩛10534)","cot":[{"info":"↩⪖↹⩛10534=↹⩛-131230","layer":1},{"info":"≉↹⩛-131230=↹⩛-131230","layer":0}]}
{"id":413,"expression_no_base_symbol":"($6194$⫢⨠$1159$)≴⪞⇿($1519$↬$3136$)","expression":"(↹⩛44402⫢⨠↹⩛5211)≴⪞⇿(↹⩛11011↬↹⩛22304)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":212,"operation_count":3,"complexity_ratio":70.66666666666667,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":6194,"base":6},"right_expr":{"type":"numeric_atoms","value":1159,"base":6}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1519,"base":6},"right_expr":{"type":"numeric_atoms","value":3136,"base":6}}},"used_operators":["lvlrscuwVU","xlXykHWxX1","B5M0gjZbta"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","rGHVDoGpnC"],"result":"↹⩛315152","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=6194","layer":2},{"info":"number node, value=1159","layer":2},{"info":"compute binary expreesion, left_input=6194, right_input=1159, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":1},{"info":"number node, value=1519","layer":2},{"info":"number node, value=3136","layer":2},{"info":"compute binary expreesion, left_input=1519, right_input=3136, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬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=160, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=25772","layer":0}],"base":6,"result_base":6,"text":"(↹⩛44402⫢⨠↹⩛5211)≴⪞⇿(↹⩛11011↬↹⩛22304)=↹⩛315152","reverse_text":"↹⩛315152=(↹⩛44402⫢⨠↹⩛5211)≴⪞⇿(↹⩛11011↬↹⩛22304)","cot":[{"info":"↹⩛44402⫢⨠↹⩛5211=↹⩛424","layer":1},{"info":"↹⩛11011↬↹⩛22304=NaN","layer":1},{"info":"↹⩛424≴⪞⇿NaN=↹⩛315152","layer":0}]}
{"id":414,"expression_no_base_symbol":"($1388$⨎$4032$)≴⪞⇿($3128$⪶≀⋏$2443$)","expression":"(↹⩛10232⨎↹⩛30400)≴⪞⇿(↹⩛22252⪶≀⋏↹⩛15151)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3812,"operation_count":3,"complexity_ratio":1270.6666666666667,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1388,"base":6},"right_expr":{"type":"numeric_atoms","value":4032,"base":6}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":3128,"base":6},"right_expr":{"type":"numeric_atoms","value":2443,"base":6}}},"used_operators":["lvlrscuwVU","rJVOvQCfKK","zR4jO40bMj"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"↹⩛2441554513","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1388","layer":2},{"info":"number node, value=4032","layer":2},{"info":"compute binary expreesion, left_input=1388, right_input=4032, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4032","layer":1},{"info":"number node, value=3128","layer":2},{"info":"number node, value=2443","layer":2},{"info":"compute binary expreesion, left_input=3128, right_input=2443, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-14502","layer":1},{"info":"compute binary expreesion, left_input=4032, right_input=-14502, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=28086669","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10232⨎↹⩛30400)≴⪞⇿(↹⩛22252⪶≀⋏↹⩛15151)=↹⩛2441554513","reverse_text":"↹⩛2441554513=(↹⩛10232⨎↹⩛30400)≴⪞⇿(↹⩛22252⪶≀⋏↹⩛15151)","cot":[{"info":"↹⩛10232⨎↹⩛30400=↹⩛30400","layer":1},{"info":"↹⩛22252⪶≀⋏↹⩛15151=↹⩛-151050","layer":1},{"info":"↹⩛30400≴⪞⇿↹⩛-151050=↹⩛2441554513","layer":0}]}
{"id":415,"expression_no_base_symbol":"(-$1285$)⋥≓≎(⫛⫱⨽$1381$)","expression":"(-↹⩛5541)⋥≓≎(⫛⫱⨽↹⩛10221)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1425,"operation_count":3,"complexity_ratio":475.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1285,"base":6}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1381,"base":6}}},"used_operators":["Qy55tPpLXF","t8gj7n24qd","DlLNRPXxWL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1285","layer":2},{"info":"compute unary expreesion, input=1285, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1285","layer":1},{"info":"number node, value=1381","layer":2},{"info":"compute unary expreesion, input=1381, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-1285, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":6,"result_base":6,"text":"(-↹⩛5541)⋥≓≎(⫛⫱⨽↹⩛10221)=↹⩛151","reverse_text":"↹⩛151=(-↹⩛5541)⋥≓≎(⫛⫱⨽↹⩛10221)","cot":[{"info":"-↹⩛5541=↹⩛-5541","layer":1},{"info":"⫛⫱⨽↹⩛10221=↹⩛0","layer":1},{"info":"↹⩛-5541⋥≓≎↹⩛0=↹⩛151","layer":0}]}
{"id":416,"expression_no_base_symbol":"($6259$∙∹∝$2493$)⪶≀⋏$2301$⪒⊣⊆$8545$","expression":"(↹⩛44551∙∹∝↹⩛15313)⪶≀⋏↹⩛14353⪒⊣⊆↹⩛103321","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22,"operation_count":3,"complexity_ratio":7.333333333333333,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":6259,"base":6},"right_expr":{"type":"numeric_atoms","value":2493,"base":6}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2301,"base":6},"right_expr":{"type":"numeric_atoms","value":8545,"base":6}}},"used_operators":["zR4jO40bMj","HmxsFra2vL","eRqsBgTDFp"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","sdazOOVcIp","W4YGzv6Whe"],"result":"↹⩛442240","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6259","layer":2},{"info":"number node, value=2493","layer":2},{"info":"compute binary expreesion, left_input=6259, right_input=2493, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=2301","layer":2},{"info":"number node, value=8545","layer":2},{"info":"compute binary expreesion, left_input=2301, right_input=8545, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=4602","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=4602, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=36816","layer":0}],"base":6,"result_base":6,"text":"(↹⩛44551∙∹∝↹⩛15313)⪶≀⋏↹⩛14353⪒⊣⊆↹⩛103321=↹⩛442240","reverse_text":"↹⩛442240=(↹⩛44551∙∹∝↹⩛15313)⪶≀⋏↹⩛14353⪒⊣⊆↹⩛103321","cot":[{"info":"↹⩛44551∙∹∝↹⩛15313=↹⩛0","layer":1},{"info":"↹⩛14353⪒⊣⊆↹⩛103321=↹⩛33150","layer":1},{"info":"↹⩛0⪶≀⋏↹⩛33150=↹⩛442240","layer":0}]}
{"id":417,"expression_no_base_symbol":"(∡$1990$)⫗⊷⫓($3638$⫔⩽⩺$4170$)","expression":"(∡↹⩛13114)⫗⊷⫓(↹⩛24502⫔⩽⩺↹⩛31150)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":87583,"operation_count":3,"complexity_ratio":29194.333333333332,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":1990,"base":6}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":3638,"base":6},"right_expr":{"type":"numeric_atoms","value":4170,"base":6}}},"used_operators":["zashukvMKz","pRsWfj4Fpp","i9eR4S00cU"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","Tw270M8GLb","fu6greOZ01"],"result":"↹⩛-342","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1990","layer":2},{"info":"compute unary expreesion, input=1990, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-1990","layer":1},{"info":"number node, value=3638","layer":2},{"info":"number node, value=4170","layer":2},{"info":"compute binary expreesion, left_input=3638, right_input=4170, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1990, 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":6,"result_base":6,"text":"(∡↹⩛13114)⫗⊷⫓(↹⩛24502⫔⩽⩺↹⩛31150)=↹⩛-342","reverse_text":"↹⩛-342=(∡↹⩛13114)⫗⊷⫓(↹⩛24502⫔⩽⩺↹⩛31150)","cot":[{"info":"∡↹⩛13114=↹⩛-13114","layer":1},{"info":"↹⩛24502⫔⩽⩺↹⩛31150=NaN","layer":1},{"info":"↹⩛-13114⫗⊷⫓NaN=↹⩛-342","layer":0}]}
{"id":418,"expression_no_base_symbol":"($1218$↛⩡⫤)∇⊂⋱$4671$∥⊢⊲$1631$","expression":"(↹⩛5350↛⩡⫤)∇⊂⋱↹⩛33343∥⊢⊲↹⩛11315","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3799,"operation_count":3,"complexity_ratio":1266.3333333333333,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1218,"base":6}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":4671,"base":6},"right_expr":{"type":"numeric_atoms","value":1631,"base":6}}},"used_operators":["nhYeJWJD5X","FU0Cs4j7VP","v1UQAVDJRr"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","EBcxylXtPf","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1218","layer":2},{"info":"compute unary expreesion, input=1218, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-180007","layer":1},{"info":"number node, value=4671","layer":2},{"info":"number node, value=1631","layer":2},{"info":"compute binary expreesion, left_input=4671, right_input=1631, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-180007, 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":6,"result_base":6,"text":"(↹⩛5350↛⩡⫤)∇⊂⋱↹⩛33343∥⊢⊲↹⩛11315=NaN","reverse_text":"NaN=(↹⩛5350↛⩡⫤)∇⊂⋱↹⩛33343∥⊢⊲↹⩛11315","cot":[{"info":"↹⩛5350↛⩡⫤=↹⩛-3505211","layer":1},{"info":"↹⩛33343∥⊢⊲↹⩛11315=NaN","layer":1},{"info":"↹⩛-3505211∇⊂⋱NaN=NaN","layer":0}]}
{"id":419,"expression_no_base_symbol":"(⩩$7243$)⋷$1174$≃$2739$","expression":"(⩩↹⩛53311)⋷↹⩛5234≃↹⩛20403","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8200,"operation_count":3,"complexity_ratio":2733.3333333333335,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":7243,"base":6}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1174,"base":6},"right_expr":{"type":"numeric_atoms","value":2739,"base":6}}},"used_operators":["23Mk6UjR3U","kMhfGuqI2H","YbVcJGFEVW"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7243","layer":2},{"info":"compute unary expreesion, input=7243, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"info":"number node, value=1174","layer":2},{"info":"number node, value=2739","layer":2},{"info":"compute binary expreesion, left_input=1174, right_input=2739, 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=-4736","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4736, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⩩↹⩛53311)⋷↹⩛5234≃↹⩛20403=NaN","reverse_text":"NaN=(⩩↹⩛53311)⋷↹⩛5234≃↹⩛20403","cot":[{"info":"⩩↹⩛53311=NaN","layer":1},{"info":"↹⩛5234≃↹⩛20403=↹⩛-33532","layer":1},{"info":"NaN⋷↹⩛-33532=NaN","layer":0}]}
{"id":420,"expression_no_base_symbol":"($6317$⫥∨⫟$4801$)⪍↜⋙$1682$⇤$6345$","expression":"(↹⩛45125⫥∨⫟↹⩛34121)⪍↜⋙↹⩛11442⇤↹⩛45213","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":189,"operation_count":3,"complexity_ratio":63.0,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6317,"base":6},"right_expr":{"type":"numeric_atoms","value":4801,"base":6}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1682,"base":6},"right_expr":{"type":"numeric_atoms","value":6345,"base":6}}},"used_operators":["L05ObWFQCd","KYD54nUTWz","YSKBFp38Pu"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6317","layer":2},{"info":"number node, value=4801","layer":2},{"info":"compute binary expreesion, left_input=6317, right_input=4801, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1682","layer":2},{"info":"number node, value=6345","layer":2},{"info":"compute binary expreesion, left_input=1682, right_input=6345, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-37287","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-37287, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛45125⫥∨⫟↹⩛34121)⪍↜⋙↹⩛11442⇤↹⩛45213=NaN","reverse_text":"NaN=(↹⩛45125⫥∨⫟↹⩛34121)⪍↜⋙↹⩛11442⇤↹⩛45213","cot":[{"info":"↹⩛45125⫥∨⫟↹⩛34121=NaN","layer":1},{"info":"↹⩛11442⇤↹⩛45213=↹⩛-444343","layer":1},{"info":"NaN⪍↜⋙↹⩛-444343=NaN","layer":0}]}
{"id":421,"expression_no_base_symbol":"$6293$∌↝$5017$≋⫹","expression":"↹⩛45045∌↝↹⩛35121≋⫹","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":20,"operation_count":2,"complexity_ratio":10.0,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":6293,"base":6},"right_expr":{"type":"numeric_atoms","value":5017,"base":6}}},"used_operators":["N41Kp7NANJ","9Isq31Ruls"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=6293","layer":2},{"info":"number node, value=5017","layer":2},{"info":"compute binary expreesion, left_input=6293, right_input=5017, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=0","layer":0}],"base":6,"result_base":6,"text":"↹⩛45045∌↝↹⩛35121≋⫹=↹⩛0","reverse_text":"↹⩛0=↹⩛45045∌↝↹⩛35121≋⫹","cot":[{"info":"↹⩛45045∌↝↹⩛35121=↹⩛0","layer":1},{"info":"↹⩛0≋⫹=↹⩛0","layer":0}]}
{"id":422,"expression_no_base_symbol":"⇠($2726$∕⩚$1325$)","expression":"⇠(↹⩛20342∕⩚↹⩛10045)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2751,"operation_count":2,"complexity_ratio":1375.5,"tree":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":2726,"base":6},"right_expr":{"type":"numeric_atoms","value":1325,"base":6}}},"used_operators":["18saOjeKKm","z9ffQ9n5Zr"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2726","layer":2},{"info":"number node, value=1325","layer":2},{"info":"compute binary expreesion, left_input=2726, right_input=1325, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-2729","layer":1},{"info":"compute unary expreesion, input=-2729, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=0","layer":0}],"base":6,"result_base":6,"text":"⇠(↹⩛20342∕⩚↹⩛10045)=↹⩛0","reverse_text":"↹⩛0=⇠(↹⩛20342∕⩚↹⩛10045)","cot":[{"info":"↹⩛20342∕⩚↹⩛10045=↹⩛-20345","layer":1},{"info":"⇠↹⩛-20345=↹⩛0","layer":0}]}
{"id":423,"expression_no_base_symbol":"⊊≼∋($3652$∽$3121$)","expression":"⊊≼∋(↹⩛24524∽↹⩛22241)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":2,"complexity_ratio":5.5,"tree":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":3652,"base":6},"right_expr":{"type":"numeric_atoms","value":3121,"base":6}}},"used_operators":["FWz7pXsQhA","y4ImoPnbV5"],"dependent_operators":["B5M0gjZbta","jCPkEVoL5K","NTOWxs364D","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3652","layer":2},{"info":"number node, value=3121","layer":2},{"info":"compute binary expreesion, left_input=3652, right_input=3121, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-27445","layer":1},{"info":"compute unary expreesion, input=-27445, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⊊≼∋(↹⩛24524∽↹⩛22241)=NaN","reverse_text":"NaN=⊊≼∋(↹⩛24524∽↹⩛22241)","cot":[{"info":"↹⩛24524∽↹⩛22241=↹⩛-331021","layer":1},{"info":"⊊≼∋↹⩛-331021=NaN","layer":0}]}
{"id":424,"expression_no_base_symbol":"$3657$↢$1887$↙(↩$6223$)","expression":"↹⩛24533↢↹⩛12423↙(↩↹⩛44451)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":47035,"operation_count":3,"complexity_ratio":15678.333333333334,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":3657,"base":6},"right_expr":{"type":"numeric_atoms","value":1887,"base":6}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":6223,"base":6}}},"used_operators":["yyfyN0ffXY","WR6HLWljOP","jLgFTUHLKL"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"↹⩛3004500","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3657","layer":2},{"info":"number node, value=1887","layer":2},{"info":"compute binary expreesion, left_input=3657, right_input=1887, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=3173","layer":1},{"info":"number node, value=6223","layer":2},{"info":"compute unary expreesion, input=6223, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-47004","layer":1},{"info":"compute binary expreesion, left_input=3173, right_input=-47004, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=141012","layer":0}],"base":6,"result_base":6,"text":"↹⩛24533↢↹⩛12423↙(↩↹⩛44451)=↹⩛3004500","reverse_text":"↹⩛3004500=↹⩛24533↢↹⩛12423↙(↩↹⩛44451)","cot":[{"info":"↹⩛24533↢↹⩛12423=↹⩛22405","layer":1},{"info":"↩↹⩛44451=↹⩛-1001340","layer":1},{"info":"↹⩛22405↙↹⩛-1001340=↹⩛3004500","layer":0}]}
{"id":425,"expression_no_base_symbol":"($1212$⪭≯$1025$)⨚($2693$⨰$2332$)","expression":"(↹⩛5340⪭≯↹⩛4425)⨚(↹⩛20245⨰↹⩛14444)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":205,"operation_count":3,"complexity_ratio":68.33333333333333,"tree":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1212,"base":6},"right_expr":{"type":"numeric_atoms","value":1025,"base":6}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2693,"base":6},"right_expr":{"type":"numeric_atoms","value":2332,"base":6}}},"used_operators":["nREPSIbpBE","XAx5wpdLa6","eewbuw0ToL"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1212","layer":2},{"info":"number node, value=1025","layer":2},{"info":"compute binary expreesion, left_input=1212, right_input=1025, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"number node, value=2693","layer":2},{"info":"number node, value=2332","layer":2},{"info":"compute binary expreesion, left_input=2693, right_input=2332, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=371","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=371, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5340⪭≯↹⩛4425)⨚(↹⩛20245⨰↹⩛14444)=NaN","reverse_text":"NaN=(↹⩛5340⪭≯↹⩛4425)⨚(↹⩛20245⨰↹⩛14444)","cot":[{"info":"↹⩛5340⪭≯↹⩛4425=NaN","layer":1},{"info":"↹⩛20245⨰↹⩛14444=↹⩛1415","layer":1},{"info":"NaN⨚↹⩛1415=NaN","layer":0}]}
{"id":426,"expression_no_base_symbol":"($2438$⇉⇉)⨥⫆($3119$⨱∎)","expression":"(↹⩛15142⇉⇉)⨥⫆(↹⩛22235⨱∎)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":70,"operation_count":3,"complexity_ratio":23.333333333333332,"tree":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":2438,"base":6}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":3119,"base":6}}},"used_operators":["yXekIHxTD4","diKm42VcIt","MmTdOpaElr"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","tifHPKVTfV"],"result":"↹⩛-1","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2438","layer":2},{"info":"compute unary expreesion, input=2438, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-151040","layer":1},{"info":"number node, value=3119","layer":2},{"info":"compute unary expreesion, input=3119, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-151040, right_input=0, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":0}],"base":6,"result_base":6,"text":"(↹⩛15142⇉⇉)⨥⫆(↹⩛22235⨱∎)=↹⩛-1","reverse_text":"↹⩛-1=(↹⩛15142⇉⇉)⨥⫆(↹⩛22235⨱∎)","cot":[{"info":"↹⩛15142⇉⇉=↹⩛-3123132","layer":1},{"info":"↹⩛22235⨱∎=↹⩛0","layer":1},{"info":"↹⩛-3123132⨥⫆↹⩛0=↹⩛-1","layer":0}]}
{"id":427,"expression_no_base_symbol":"⊖∈(∡$1063$)","expression":"⊖∈(∡↹⩛4531)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3239,"operation_count":2,"complexity_ratio":1619.5,"tree":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":1063,"base":6}}},"used_operators":["YFxL8Sc2Zy","pRsWfj4Fpp"],"dependent_operators":["zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0"],"result":"↹⩛2133040030","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1063","layer":2},{"info":"compute unary expreesion, input=1063, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-1063","layer":1},{"info":"compute unary expreesion, input=-1063, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=22819986","layer":0}],"base":6,"result_base":6,"text":"⊖∈(∡↹⩛4531)=↹⩛2133040030","reverse_text":"↹⩛2133040030=⊖∈(∡↹⩛4531)","cot":[{"info":"∡↹⩛4531=↹⩛-4531","layer":1},{"info":"⊖∈↹⩛-4531=↹⩛2133040030","layer":0}]}
{"id":428,"expression_no_base_symbol":"⋗⩬⋾$1048$⋅⇍$4653$","expression":"⋗⩬⋾↹⩛4504⋅⇍↹⩛33313","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1048,"base":6},"right_expr":{"type":"numeric_atoms","value":4653,"base":6}}},"used_operators":["DpFCA1CohY","AdZkA7nFnk"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"↹⩛150","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1048","layer":2},{"info":"number node, value=4653","layer":2},{"info":"compute binary expreesion, left_input=1048, right_input=4653, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=66","layer":0}],"base":6,"result_base":6,"text":"⋗⩬⋾↹⩛4504⋅⇍↹⩛33313=↹⩛150","reverse_text":"↹⩛150=⋗⩬⋾↹⩛4504⋅⇍↹⩛33313","cot":[{"info":"↹⩛4504⋅⇍↹⩛33313=↹⩛-34","layer":1},{"info":"⋗⩬⋾↹⩛-34=↹⩛150","layer":0}]}
{"id":429,"expression_no_base_symbol":"($3674$≭$1555$)⪮%⊝$1178$⨥⫆$2574$","expression":"(↹⩛25002≭↹⩛11111)⪮%⊝↹⩛5242⨥⫆↹⩛15530","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25,"operation_count":3,"complexity_ratio":8.333333333333334,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3674,"base":6},"right_expr":{"type":"numeric_atoms","value":1555,"base":6}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1178,"base":6},"right_expr":{"type":"numeric_atoms","value":2574,"base":6}}},"used_operators":["IWmyXbctLI","rxpJgHHUmx","yXekIHxTD4"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3674","layer":2},{"info":"number node, value=1555","layer":2},{"info":"compute binary expreesion, left_input=3674, right_input=1555, 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=1178","layer":2},{"info":"number node, value=2574","layer":2},{"info":"compute binary expreesion, left_input=1178, right_input=2574, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=5024","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5024, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛25002≭↹⩛11111)⪮%⊝↹⩛5242⨥⫆↹⩛15530=NaN","reverse_text":"NaN=(↹⩛25002≭↹⩛11111)⪮%⊝↹⩛5242⨥⫆↹⩛15530","cot":[{"info":"↹⩛25002≭↹⩛11111=NaN","layer":1},{"info":"↹⩛5242⨥⫆↹⩛15530=↹⩛35132","layer":1},{"info":"NaN⪮%⊝↹⩛35132=NaN","layer":0}]}
{"id":430,"expression_no_base_symbol":"($4619$⪬∳)⪮%⊝($8842$⊉≛↸$1072$)","expression":"(↹⩛33215⪬∳)⪮%⊝(↹⩛104534⊉≛↸↹⩛4544)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14016,"operation_count":3,"complexity_ratio":4672.0,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":4619,"base":6}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":8842,"base":6},"right_expr":{"type":"numeric_atoms","value":1072,"base":6}}},"used_operators":["IWmyXbctLI","O9U3z1385E","DZ8iAZOCBD"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛-5034","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4619","layer":2},{"info":"compute unary expreesion, input=4619, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":1},{"info":"number node, value=8842","layer":2},{"info":"number node, value=1072","layer":2},{"info":"compute binary expreesion, left_input=8842, right_input=1072, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=17684","layer":1},{"info":"compute binary expreesion, left_input=-709, right_input=17684, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-1102","layer":0}],"base":6,"result_base":6,"text":"(↹⩛33215⪬∳)⪮%⊝(↹⩛104534⊉≛↸↹⩛4544)=↹⩛-5034","reverse_text":"↹⩛-5034=(↹⩛33215⪬∳)⪮%⊝(↹⩛104534⊉≛↸↹⩛4544)","cot":[{"info":"↹⩛33215⪬∳=↹⩛-3141","layer":1},{"info":"↹⩛104534⊉≛↸↹⩛4544=↹⩛213512","layer":1},{"info":"↹⩛-3141⪮%⊝↹⩛213512=↹⩛-5034","layer":0}]}
{"id":431,"expression_no_base_symbol":"(⨭⩧⫛$1181$)⊢($1161$≳⇉$2927$)","expression":"(⨭⩧⫛↹⩛5245)⊢(↹⩛5213≳⇉↹⩛21315)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":111591287,"operation_count":3,"complexity_ratio":37197095.666666664,"tree":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":1181,"base":6}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1161,"base":6},"right_expr":{"type":"numeric_atoms","value":2927,"base":6}}},"used_operators":["5twsqlHp2o","g21JL6JxX7","V0kx6qeWkN"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1181","layer":2},{"info":"compute unary expreesion, input=1181, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":1},{"info":"number node, value=1161","layer":2},{"info":"number node, value=2927","layer":2},{"info":"compute binary expreesion, left_input=1161, right_input=2927, 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 = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⨭⩧⫛↹⩛5245)⊢(↹⩛5213≳⇉↹⩛21315)=NaN","reverse_text":"NaN=(⨭⩧⫛↹⩛5245)⊢(↹⩛5213≳⇉↹⩛21315)","cot":[{"info":"⨭⩧⫛↹⩛5245=NaN","layer":1},{"info":"↹⩛5213≳⇉↹⩛21315=NaN","layer":1},{"info":"NaN⊢NaN=NaN","layer":0}]}
{"id":432,"expression_no_base_symbol":"$2524$↓$1767$⊍⩺⋍$4113$⪍↜⋙$2241$","expression":"↹⩛15404↓↹⩛12103⊍⩺⋍↹⩛31013⪍↜⋙↹⩛14213","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25261,"operation_count":3,"complexity_ratio":8420.333333333334,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2524,"base":6},"right_expr":{"type":"numeric_atoms","value":1767,"base":6}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":4113,"base":6},"right_expr":{"type":"numeric_atoms","value":2241,"base":6}}},"used_operators":["OXDGMFPWZM","Af076pWI7l","L05ObWFQCd"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2524","layer":2},{"info":"number node, value=1767","layer":2},{"info":"compute binary expreesion, left_input=2524, right_input=1767, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"number node, value=4113","layer":2},{"info":"number node, value=2241","layer":2},{"info":"compute binary expreesion, left_input=4113, right_input=2241, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=3744","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=3744, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛15404↓↹⩛12103⊍⩺⋍↹⩛31013⪍↜⋙↹⩛14213=NaN","reverse_text":"NaN=↹⩛15404↓↹⩛12103⊍⩺⋍↹⩛31013⪍↜⋙↹⩛14213","cot":[{"info":"↹⩛15404↓↹⩛12103=↹⩛-342","layer":1},{"info":"↹⩛31013⪍↜⋙↹⩛14213=↹⩛25200","layer":1},{"info":"↹⩛-342⊍⩺⋍↹⩛25200=NaN","layer":0}]}
{"id":433,"expression_no_base_symbol":"(≅≯⇸$7937$)⨪↰⇹($8210$∽$6040$)","expression":"(≅≯⇸↹⩛100425)⨪↰⇹(↹⩛102002∽↹⩛43544)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":39449,"operation_count":3,"complexity_ratio":13149.666666666666,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":7937,"base":6}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":8210,"base":6},"right_expr":{"type":"numeric_atoms","value":6040,"base":6}}},"used_operators":["tmPS8pqC7x","apS25hmuAe","y4ImoPnbV5"],"dependent_operators":["rJVOvQCfKK","EBcxylXtPf","QMFrweE19q","NTOWxs364D","QMFrweE19q"],"result":"↹⩛502305","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7937","layer":2},{"info":"compute unary expreesion, input=7937, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=39425","layer":1},{"info":"number node, value=8210","layer":2},{"info":"number node, value=6040","layer":2},{"info":"compute binary expreesion, left_input=8210, right_input=6040, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-58992","layer":1},{"info":"compute binary expreesion, left_input=39425, right_input=-58992, 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=39425","layer":0}],"base":6,"result_base":6,"text":"(≅≯⇸↹⩛100425)⨪↰⇹(↹⩛102002∽↹⩛43544)=↹⩛502305","reverse_text":"↹⩛502305=(≅≯⇸↹⩛100425)⨪↰⇹(↹⩛102002∽↹⩛43544)","cot":[{"info":"≅≯⇸↹⩛100425=↹⩛502305","layer":1},{"info":"↹⩛102002∽↹⩛43544=↹⩛-1133040","layer":1},{"info":"↹⩛502305⨪↰⇹↹⩛-1133040=↹⩛502305","layer":0}]}
{"id":434,"expression_no_base_symbol":"$1413$⋕⪉⪜$5962$∛($1805$⪇≇⋚$3282$)","expression":"↹⩛10313⋕⪉⪜↹⩛43334∛(↹⩛12205⪇≇⋚↹⩛23110)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":85,"operation_count":3,"complexity_ratio":28.333333333333332,"tree":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1413,"base":6},"right_expr":{"type":"numeric_atoms","value":5962,"base":6}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1805,"base":6},"right_expr":{"type":"numeric_atoms","value":3282,"base":6}}},"used_operators":["w2537kitQq","z6LnFrNh4i","3sJ7IOPOlU"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1413","layer":2},{"info":"number node, value=5962","layer":2},{"info":"compute binary expreesion, left_input=1413, right_input=5962, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"number node, value=1805","layer":2},{"info":"number node, value=3282","layer":2},{"info":"compute binary expreesion, left_input=1805, right_input=3282, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=204, right_input=0, 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":6,"result_base":6,"text":"↹⩛10313⋕⪉⪜↹⩛43334∛(↹⩛12205⪇≇⋚↹⩛23110)=↹⩛151","reverse_text":"↹⩛151=↹⩛10313⋕⪉⪜↹⩛43334∛(↹⩛12205⪇≇⋚↹⩛23110)","cot":[{"info":"↹⩛10313⋕⪉⪜↹⩛43334=↹⩛540","layer":1},{"info":"↹⩛12205⪇≇⋚↹⩛23110=↹⩛0","layer":1},{"info":"↹⩛540∛↹⩛0=↹⩛151","layer":0}]}
{"id":435,"expression_no_base_symbol":"⫇(⫇$4901$)","expression":"⫇(⫇↹⩛34405)","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":23,"operation_count":2,"complexity_ratio":11.5,"tree":{"type":"unary","operator":"⫇","unary_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":4901,"base":6}}},"used_operators":["YjI8oCXuph"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI"],"result":"↹⩛-55214","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4901","layer":2},{"info":"compute unary expreesion, input=4901, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-8588","layer":1},{"info":"compute unary expreesion, input=-8588, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-7642","layer":0}],"base":6,"result_base":6,"text":"⫇(⫇↹⩛34405)=↹⩛-55214","reverse_text":"↹⩛-55214=⫇(⫇↹⩛34405)","cot":[{"info":"⫇↹⩛34405=↹⩛-103432","layer":1},{"info":"⫇↹⩛-103432=↹⩛-55214","layer":0}]}
{"id":436,"expression_no_base_symbol":"($1107$⋥≓≎$2462$)⋣⋖$1649$≚⊃≕$1889$","expression":"(↹⩛5043⋥≓≎↹⩛15222)⋣⋖↹⩛11345≚⊃≕↹⩛12425","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":24,"operation_count":3,"complexity_ratio":8.0,"tree":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1107,"base":6},"right_expr":{"type":"numeric_atoms","value":2462,"base":6}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1649,"base":6},"right_expr":{"type":"numeric_atoms","value":1889,"base":6}}},"used_operators":["J0M6qkBnIM","Qy55tPpLXF","Bmrmz2XGnR"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"↹⩛25454","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1107","layer":2},{"info":"number node, value=2462","layer":2},{"info":"compute binary expreesion, left_input=1107, right_input=2462, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3850","layer":1},{"info":"number node, value=1649","layer":2},{"info":"number node, value=1889","layer":2},{"info":"compute binary expreesion, left_input=1649, right_input=1889, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=3850, right_input=67, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3850","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5043⋥≓≎↹⩛15222)⋣⋖↹⩛11345≚⊃≕↹⩛12425=↹⩛25454","reverse_text":"↹⩛25454=(↹⩛5043⋥≓≎↹⩛15222)⋣⋖↹⩛11345≚⊃≕↹⩛12425","cot":[{"info":"↹⩛5043⋥≓≎↹⩛15222=↹⩛25454","layer":1},{"info":"↹⩛11345≚⊃≕↹⩛12425=↹⩛151","layer":1},{"info":"↹⩛25454⋣⋖↹⩛151=↹⩛25454","layer":0}]}
{"id":437,"expression_no_base_symbol":"($1755$⪹)⋥⋵⩄($3135$⨟⋌⩍$5057$)","expression":"(↹⩛12043⪹)⋥⋵⩄(↹⩛22303⨟⋌⩍↹⩛35225)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":49,"operation_count":3,"complexity_ratio":16.333333333333332,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1755,"base":6}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3135,"base":6},"right_expr":{"type":"numeric_atoms","value":5057,"base":6}}},"used_operators":["7t3wd0Fuz7","B3sABdIn96","rGHVDoGpnC"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1755","layer":2},{"info":"compute unary expreesion, input=1755, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=8002","layer":1},{"info":"number node, value=3135","layer":2},{"info":"number node, value=5057","layer":2},{"info":"compute binary expreesion, left_input=3135, right_input=5057, 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=8002, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛12043⪹)⋥⋵⩄(↹⩛22303⨟⋌⩍↹⩛35225)=NaN","reverse_text":"NaN=(↹⩛12043⪹)⋥⋵⩄(↹⩛22303⨟⋌⩍↹⩛35225)","cot":[{"info":"↹⩛12043⪹=↹⩛101014","layer":1},{"info":"↹⩛22303⨟⋌⩍↹⩛35225=NaN","layer":1},{"info":"↹⩛101014⋥⋵⩄NaN=NaN","layer":0}]}
{"id":438,"expression_no_base_symbol":"($6859$≳⇉$1769$)≁($1741$⩍⋽⫝̸$4807$)","expression":"(↹⩛51431≳⇉↹⩛12105)≁(↹⩛12021⩍⋽⫝̸↹⩛34131)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":67992360,"operation_count":3,"complexity_ratio":22664120.0,"tree":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":6859,"base":6},"right_expr":{"type":"numeric_atoms","value":1769,"base":6}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1741,"base":6},"right_expr":{"type":"numeric_atoms","value":4807,"base":6}}},"used_operators":["8N2wDY1A35","V0kx6qeWkN","BiWNJpBvwn"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","Ph9nP6C5qx","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=6859","layer":2},{"info":"number node, value=1769","layer":2},{"info":"compute binary expreesion, left_input=6859, right_input=1769, 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=1741","layer":2},{"info":"number node, value=4807","layer":2},{"info":"compute binary expreesion, left_input=1741, right_input=4807, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=3861","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3861, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛51431≳⇉↹⩛12105)≁(↹⩛12021⩍⋽⫝̸↹⩛34131)=NaN","reverse_text":"NaN=(↹⩛51431≳⇉↹⩛12105)≁(↹⩛12021⩍⋽⫝̸↹⩛34131)","cot":[{"info":"↹⩛51431≳⇉↹⩛12105=NaN","layer":1},{"info":"↹⩛12021⩍⋽⫝̸↹⩛34131=↹⩛25513","layer":1},{"info":"NaN≁↹⩛25513=NaN","layer":0}]}
{"id":439,"expression_no_base_symbol":"($8032$⫔⩽⩺$1774$)⇡⇂($3683$⪒⊣⊆$1887$)","expression":"(↹⩛101104⫔⩽⩺↹⩛12114)⇡⇂(↹⩛25015⪒⊣⊆↹⩛12423)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":45395,"operation_count":3,"complexity_ratio":15131.666666666666,"tree":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":8032,"base":6},"right_expr":{"type":"numeric_atoms","value":1774,"base":6}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":3683,"base":6},"right_expr":{"type":"numeric_atoms","value":1887,"base":6}}},"used_operators":["UMwdvZNt44","i9eR4S00cU","eRqsBgTDFp"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","Tw270M8GLb","fu6greOZ01","sdazOOVcIp","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=8032","layer":2},{"info":"number node, value=1774","layer":2},{"info":"compute binary expreesion, left_input=8032, right_input=1774, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=3683","layer":2},{"info":"number node, value=1887","layer":2},{"info":"compute binary expreesion, left_input=3683, right_input=1887, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=7366","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7366, 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":6,"result_base":6,"text":"(↹⩛101104⫔⩽⩺↹⩛12114)⇡⇂(↹⩛25015⪒⊣⊆↹⩛12423)=NaN","reverse_text":"NaN=(↹⩛101104⫔⩽⩺↹⩛12114)⇡⇂(↹⩛25015⪒⊣⊆↹⩛12423)","cot":[{"info":"↹⩛101104⫔⩽⩺↹⩛12114=NaN","layer":1},{"info":"↹⩛25015⪒⊣⊆↹⩛12423=↹⩛54034","layer":1},{"info":"NaN⇡⇂↹⩛54034=NaN","layer":0}]}
{"id":440,"expression_no_base_symbol":"(⩷$1476$)⊲⩕⊾($5391$≀⩗∶$1185$)","expression":"(⩷↹⩛10500)⊲⩕⊾(↹⩛40543≀⩗∶↹⩛5253)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":63,"operation_count":3,"complexity_ratio":21.0,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":1476,"base":6}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":5391,"base":6},"right_expr":{"type":"numeric_atoms","value":1185,"base":6}}},"used_operators":["DmTXOeWf9t","1h0rLqGiFr","8INZBEW696"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"↹⩛-324504","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1476","layer":2},{"info":"compute unary expreesion, input=1476, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-17791","layer":1},{"info":"number node, value=5391","layer":2},{"info":"number node, value=1185","layer":2},{"info":"compute binary expreesion, left_input=5391, right_input=1185, 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=-17791, right_input=0, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-26968","layer":0}],"base":6,"result_base":6,"text":"(⩷↹⩛10500)⊲⩕⊾(↹⩛40543≀⩗∶↹⩛5253)=↹⩛-324504","reverse_text":"↹⩛-324504=(⩷↹⩛10500)⊲⩕⊾(↹⩛40543≀⩗∶↹⩛5253)","cot":[{"info":"⩷↹⩛10500=↹⩛-214211","layer":1},{"info":"↹⩛40543≀⩗∶↹⩛5253=↹⩛0","layer":1},{"info":"↹⩛-214211⊲⩕⊾↹⩛0=↹⩛-324504","layer":0}]}
{"id":441,"expression_no_base_symbol":"$1897$∋$7473$∲⫓$1326$∙⊟$1173$","expression":"↹⩛12441∋↹⩛54333∲⫓↹⩛10050∙⊟↹⩛5233","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1509,"operation_count":3,"complexity_ratio":503.0,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1897,"base":6},"right_expr":{"type":"numeric_atoms","value":7473,"base":6}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1326,"base":6},"right_expr":{"type":"numeric_atoms","value":1173,"base":6}}},"used_operators":["i8ToyICDmI","ukq6epAj5P","SxTAKzQCrw"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1897","layer":2},{"info":"number node, value=7473","layer":2},{"info":"compute binary expreesion, left_input=1897, right_input=7473, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=15529028","layer":1},{"info":"number node, value=1326","layer":2},{"info":"number node, value=1173","layer":2},{"info":"compute binary expreesion, left_input=1326, right_input=1173, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=27084","layer":1},{"info":"compute binary expreesion, left_input=15529028, right_input=27084, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"↹⩛12441∋↹⩛54333∲⫓↹⩛10050∙⊟↹⩛5233=↹⩛0","reverse_text":"↹⩛0=↹⩛12441∋↹⩛54333∲⫓↹⩛10050∙⊟↹⩛5233","cot":[{"info":"↹⩛12441∋↹⩛54333=↹⩛1312501352","layer":1},{"info":"↹⩛10050∙⊟↹⩛5233=↹⩛325220","layer":1},{"info":"↹⩛1312501352∲⫓↹⩛325220=↹⩛0","layer":0}]}
{"id":442,"expression_no_base_symbol":"(≇⪴$2841$)∓⋝($2704$⊝⪿⪼$3121$)","expression":"(≇⪴↹⩛21053)∓⋝(↹⩛20304⊝⪿⪼↹⩛22241)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":70,"operation_count":3,"complexity_ratio":23.333333333333332,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":2841,"base":6}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2704,"base":6},"right_expr":{"type":"numeric_atoms","value":3121,"base":6}}},"used_operators":["PoHhknlbAi","zoVPnxeHJ3","3Oe9XWJUTD"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2841","layer":2},{"info":"compute unary expreesion, input=2841, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-7183","layer":1},{"info":"number node, value=2704","layer":2},{"info":"number node, value=3121","layer":2},{"info":"compute binary expreesion, left_input=2704, right_input=3121, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=38754","layer":1},{"info":"compute binary expreesion, left_input=-7183, right_input=38754, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":0}],"base":6,"result_base":6,"text":"(≇⪴↹⩛21053)∓⋝(↹⩛20304⊝⪿⪼↹⩛22241)=↹⩛151","reverse_text":"↹⩛151=(≇⪴↹⩛21053)∓⋝(↹⩛20304⊝⪿⪼↹⩛22241)","cot":[{"info":"≇⪴↹⩛21053=↹⩛-53131","layer":1},{"info":"↹⩛20304⊝⪿⪼↹⩛22241=↹⩛455230","layer":1},{"info":"↹⩛-53131∓⋝↹⩛455230=↹⩛151","layer":0}]}
{"id":443,"expression_no_base_symbol":"⩰$1306$⪚$1045$","expression":"⩰↹⩛10014⪚↹⩛4501","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":29,"operation_count":2,"complexity_ratio":14.5,"tree":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1306,"base":6},"right_expr":{"type":"numeric_atoms","value":1045,"base":6}}},"used_operators":["WkeUrDK8WX","HrjLwUk87U"],"dependent_operators":["W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"↹⩛-5222","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1306","layer":2},{"info":"number node, value=1045","layer":2},{"info":"compute binary expreesion, left_input=1306, right_input=1045, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=166","layer":1},{"info":"compute unary expreesion, input=166, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-1166","layer":0}],"base":6,"result_base":6,"text":"⩰↹⩛10014⪚↹⩛4501=↹⩛-5222","reverse_text":"↹⩛-5222=⩰↹⩛10014⪚↹⩛4501","cot":[{"info":"↹⩛10014⪚↹⩛4501=↹⩛434","layer":1},{"info":"⩰↹⩛434=↹⩛-5222","layer":0}]}
{"id":444,"expression_no_base_symbol":"$4000$⩚⊴⇥$3693$↸$5737$⩧⪆$4479$","expression":"↹⩛30304⩚⊴⇥↹⩛25033↸↹⩛42321⩧⪆↹⩛32423","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4486,"operation_count":3,"complexity_ratio":1495.3333333333333,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4000,"base":6},"right_expr":{"type":"numeric_atoms","value":3693,"base":6}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":5737,"base":6},"right_expr":{"type":"numeric_atoms","value":4479,"base":6}}},"used_operators":["1eCjFl0mb9","NTOWxs364D","Ikt5ks8PT7"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eewbuw0ToL","t8gj7n24qd"],"result":"↹⩛-100102","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4000","layer":2},{"info":"number node, value=3693","layer":2},{"info":"compute binary expreesion, left_input=4000, right_input=3693, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7814","layer":1},{"info":"number node, value=5737","layer":2},{"info":"number node, value=4479","layer":2},{"info":"compute binary expreesion, left_input=5737, right_input=4479, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-4479","layer":1},{"info":"compute binary expreesion, left_input=-7814, right_input=-4479, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-7814","layer":0}],"base":6,"result_base":6,"text":"↹⩛30304⩚⊴⇥↹⩛25033↸↹⩛42321⩧⪆↹⩛32423=↹⩛-100102","reverse_text":"↹⩛-100102=↹⩛30304⩚⊴⇥↹⩛25033↸↹⩛42321⩧⪆↹⩛32423","cot":[{"info":"↹⩛30304⩚⊴⇥↹⩛25033=↹⩛-100102","layer":1},{"info":"↹⩛42321⩧⪆↹⩛32423=↹⩛-32423","layer":1},{"info":"↹⩛-100102↸↹⩛-32423=↹⩛-100102","layer":0}]}
{"id":445,"expression_no_base_symbol":"($3507$⊹∫⫚$2140$)⫘($3850$∀⇚≩$2000$)","expression":"(↹⩛24123⊹∫⫚↹⩛13524)⫘(↹⩛25454∀⇚≩↹⩛13132)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27349,"operation_count":3,"complexity_ratio":9116.333333333334,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":3507,"base":6},"right_expr":{"type":"numeric_atoms","value":2140,"base":6}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3850,"base":6},"right_expr":{"type":"numeric_atoms","value":2000,"base":6}}},"used_operators":["48vC8HMD2b","uWAJUKEvyW","LRNGc0VcxI"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","X99M06cbEe"],"result":"↹⩛22051455","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3507","layer":2},{"info":"number node, value=2140","layer":2},{"info":"compute binary expreesion, left_input=3507, right_input=2140, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-152","layer":1},{"info":"number node, value=3850","layer":2},{"info":"number node, value=2000","layer":2},{"info":"compute binary expreesion, left_input=3850, right_input=2000, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-152, right_input=nan, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=660059","layer":0}],"base":6,"result_base":6,"text":"(↹⩛24123⊹∫⫚↹⩛13524)⫘(↹⩛25454∀⇚≩↹⩛13132)=↹⩛22051455","reverse_text":"↹⩛22051455=(↹⩛24123⊹∫⫚↹⩛13524)⫘(↹⩛25454∀⇚≩↹⩛13132)","cot":[{"info":"↹⩛24123⊹∫⫚↹⩛13524=↹⩛-412","layer":1},{"info":"↹⩛25454∀⇚≩↹⩛13132=NaN","layer":1},{"info":"↹⩛-412⫘NaN=↹⩛22051455","layer":0}]}
{"id":446,"expression_no_base_symbol":"(⨴⫝$4122$)⪢($1317$≬⇓$2895$)","expression":"(⨴⫝↹⩛31030)⪢(↹⩛10033≬⇓↹⩛21223)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1780178,"operation_count":3,"complexity_ratio":593392.6666666666,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":4122,"base":6}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1317,"base":6},"right_expr":{"type":"numeric_atoms","value":2895,"base":6}}},"used_operators":["dWAJyo7jo9","SVb2v531z1","jWTQ2TZYIH"],"dependent_operators":["k8jYdgA6NY","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4122","layer":2},{"info":"compute unary expreesion, input=4122, 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=1317","layer":2},{"info":"number node, value=2895","layer":2},{"info":"compute binary expreesion, left_input=1317, right_input=2895, 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=2828198, right_input=-22, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⨴⫝↹⩛31030)⪢(↹⩛10033≬⇓↹⩛21223)=NaN","reverse_text":"NaN=(⨴⫝↹⩛31030)⪢(↹⩛10033≬⇓↹⩛21223)","cot":[{"info":"⨴⫝↹⩛31030=↹⩛140341302","layer":1},{"info":"↹⩛10033≬⇓↹⩛21223=↹⩛-34","layer":1},{"info":"↹⩛140341302⪢↹⩛-34=NaN","layer":0}]}
{"id":447,"expression_no_base_symbol":"⩒∊($2866$↸$1435$)","expression":"⩒∊(↹⩛21134↸↹⩛10351)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1446,"operation_count":2,"complexity_ratio":723.0,"tree":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2866,"base":6},"right_expr":{"type":"numeric_atoms","value":1435,"base":6}}},"used_operators":["qazvmhNBbN","1eCjFl0mb9"],"dependent_operators":["AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"↹⩛35011","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2866","layer":2},{"info":"number node, value=1435","layer":2},{"info":"compute binary expreesion, left_input=2866, right_input=1435, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2866","layer":1},{"info":"compute unary expreesion, input=2866, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=4975","layer":0}],"base":6,"result_base":6,"text":"⩒∊(↹⩛21134↸↹⩛10351)=↹⩛35011","reverse_text":"↹⩛35011=⩒∊(↹⩛21134↸↹⩛10351)","cot":[{"info":"↹⩛21134↸↹⩛10351=↹⩛21134","layer":1},{"info":"⩒∊↹⩛21134=↹⩛35011","layer":0}]}
{"id":448,"expression_no_base_symbol":"$4481$∀⇚≩$3645$⫸⇳($2355$≝⊰⇂)","expression":"↹⩛32425∀⇚≩↹⩛24513⫸⇳(↹⩛14523≝⊰⇂)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":32799,"operation_count":3,"complexity_ratio":10933.0,"tree":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4481,"base":6},"right_expr":{"type":"numeric_atoms","value":3645,"base":6}},"right_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":2355,"base":6}}},"used_operators":["gx7XJ7hdpj","LRNGc0VcxI","htSmYCowi5"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","X99M06cbEe","9FxExcQeMw","DlLNRPXxWL"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4481","layer":2},{"info":"number node, value=3645","layer":2},{"info":"compute binary expreesion, left_input=4481, right_input=3645, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2355","layer":2},{"info":"compute unary expreesion, input=2355, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":1},{"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":0}],"base":6,"result_base":6,"text":"↹⩛32425∀⇚≩↹⩛24513⫸⇳(↹⩛14523≝⊰⇂)=NaN","reverse_text":"NaN=↹⩛32425∀⇚≩↹⩛24513⫸⇳(↹⩛14523≝⊰⇂)","cot":[{"info":"↹⩛32425∀⇚≩↹⩛24513=NaN","layer":1},{"info":"↹⩛14523≝⊰⇂=↹⩛0","layer":1},{"info":"NaN⫸⇳↹⩛0=NaN","layer":0}]}
{"id":449,"expression_no_base_symbol":"$4917$⨑⩅≇$1131$≠≀($3121$⫳≱↱$4056$)","expression":"↹⩛34433⨑⩅≇↹⩛5123≠≀(↹⩛22241⫳≱↱↹⩛30440)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1499,"operation_count":3,"complexity_ratio":499.6666666666667,"tree":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":4917,"base":6},"right_expr":{"type":"numeric_atoms","value":1131,"base":6}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":3121,"base":6},"right_expr":{"type":"numeric_atoms","value":4056,"base":6}}},"used_operators":["IwW236VD4Y","h92wMvzauj","ZvLB05nZmT"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"↹⩛152402","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4917","layer":2},{"info":"number node, value=1131","layer":2},{"info":"compute binary expreesion, left_input=4917, right_input=1131, 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=-14751","layer":1},{"info":"number node, value=3121","layer":2},{"info":"number node, value=4056","layer":2},{"info":"compute binary expreesion, left_input=3121, right_input=4056, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"compute binary expreesion, left_input=-14751, right_input=-204, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=14834","layer":0}],"base":6,"result_base":6,"text":"↹⩛34433⨑⩅≇↹⩛5123≠≀(↹⩛22241⫳≱↱↹⩛30440)=↹⩛152402","reverse_text":"↹⩛152402=↹⩛34433⨑⩅≇↹⩛5123≠≀(↹⩛22241⫳≱↱↹⩛30440)","cot":[{"info":"↹⩛34433⨑⩅≇↹⩛5123=↹⩛-152143","layer":1},{"info":"↹⩛22241⫳≱↱↹⩛30440=↹⩛-540","layer":1},{"info":"↹⩛-152143≠≀↹⩛-540=↹⩛152402","layer":0}]}
{"id":450,"expression_no_base_symbol":"(⇖$3551$)↬($3355$⩎⪣⊞)","expression":"(⇖↹⩛24235)↬(↹⩛23311⩎⪣⊞)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":46978,"operation_count":3,"complexity_ratio":15659.333333333334,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":3551,"base":6}},"right_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"numeric_atoms","value":3355,"base":6}}},"used_operators":["B5M0gjZbta","tfWHHpNKUN","waWucp1uQ4"],"dependent_operators":["rGHVDoGpnC","2DQ55sFlQl","mp7IySMOzn"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3551","layer":2},{"info":"compute unary expreesion, input=3551, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":1},{"info":"number node, value=3355","layer":2},{"info":"compute unary expreesion, input=3355, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=6710","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=6710, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬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":6,"result_base":6,"text":"(⇖↹⩛24235)↬(↹⩛23311⩎⪣⊞)=NaN","reverse_text":"NaN=(⇖↹⩛24235)↬(↹⩛23311⩎⪣⊞)","cot":[{"info":"⇖↹⩛24235=↹⩛424","layer":1},{"info":"↹⩛23311⩎⪣⊞=↹⩛51022","layer":1},{"info":"↹⩛424↬↹⩛51022=NaN","layer":0}]}
{"id":451,"expression_no_base_symbol":"(⪛⨧$6264$)⨟⋌⩍$1295$⪒⊣⊆$5957$","expression":"(⪛⨧↹⩛45000)⨟⋌⩍↹⩛5555⪒⊣⊆↹⩛43325","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":6264,"base":6}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1295,"base":6},"right_expr":{"type":"numeric_atoms","value":5957,"base":6}}},"used_operators":["rGHVDoGpnC","6NJAcO2OWT","eRqsBgTDFp"],"dependent_operators":["Tcnh7f0tEr","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","sdazOOVcIp","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6264","layer":2},{"info":"compute unary expreesion, input=6264, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=13929","layer":1},{"info":"number node, value=1295","layer":2},{"info":"number node, value=5957","layer":2},{"info":"compute binary expreesion, left_input=1295, right_input=5957, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2590","layer":1},{"info":"compute binary expreesion, left_input=13929, right_input=2590, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⪛⨧↹⩛45000)⨟⋌⩍↹⩛5555⪒⊣⊆↹⩛43325=NaN","reverse_text":"NaN=(⪛⨧↹⩛45000)⨟⋌⩍↹⩛5555⪒⊣⊆↹⩛43325","cot":[{"info":"⪛⨧↹⩛45000=↹⩛144253","layer":1},{"info":"↹⩛5555⪒⊣⊆↹⩛43325=↹⩛15554","layer":1},{"info":"↹⩛144253⨟⋌⩍↹⩛15554=NaN","layer":0}]}
{"id":452,"expression_no_base_symbol":"(⇙⪊$1135$)⪪($2798$⇄$4809$)","expression":"(⇙⪊↹⩛5131)⪪(↹⩛20542⇄↹⩛34133)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":78,"operation_count":3,"complexity_ratio":26.0,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":1135,"base":6}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":2798,"base":6},"right_expr":{"type":"numeric_atoms","value":4809,"base":6}}},"used_operators":["xD69zh8xqp","pB6Fcnrjim","3EYGwJThht"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1135","layer":2},{"info":"compute unary expreesion, input=1135, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":1},{"info":"number node, value=2798","layer":2},{"info":"number node, value=4809","layer":2},{"info":"compute binary expreesion, left_input=2798, right_input=4809, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=0","layer":0}],"base":6,"result_base":6,"text":"(⇙⪊↹⩛5131)⪪(↹⩛20542⇄↹⩛34133)=↹⩛0","reverse_text":"↹⩛0=(⇙⪊↹⩛5131)⪪(↹⩛20542⇄↹⩛34133)","cot":[{"info":"⇙⪊↹⩛5131=↹⩛0","layer":1},{"info":"↹⩛20542⇄↹⩛34133=↹⩛0","layer":1},{"info":"↹⩛0⪪↹⩛0=↹⩛0","layer":0}]}
{"id":453,"expression_no_base_symbol":"(⇐$1787$)⨓$5063$∓⋝$5578$","expression":"(⇐↹⩛12135)⨓↹⩛35235∓⋝↹⩛41454","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":158,"operation_count":3,"complexity_ratio":52.666666666666664,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":1787,"base":6}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":5063,"base":6},"right_expr":{"type":"numeric_atoms","value":5578,"base":6}}},"used_operators":["3ViojmjbAp","nmZMaaE0Q9","PoHhknlbAi"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"↹⩛-154","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1787","layer":2},{"info":"compute unary expreesion, input=1787, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=3228","layer":1},{"info":"number node, value=5063","layer":2},{"info":"number node, value=5578","layer":2},{"info":"compute binary expreesion, left_input=5063, right_input=5578, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=3228, right_input=67, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-70","layer":0}],"base":6,"result_base":6,"text":"(⇐↹⩛12135)⨓↹⩛35235∓⋝↹⩛41454=↹⩛-154","reverse_text":"↹⩛-154=(⇐↹⩛12135)⨓↹⩛35235∓⋝↹⩛41454","cot":[{"info":"⇐↹⩛12135=↹⩛22540","layer":1},{"info":"↹⩛35235∓⋝↹⩛41454=↹⩛151","layer":1},{"info":"↹⩛22540⨓↹⩛151=↹⩛-154","layer":0}]}
{"id":454,"expression_no_base_symbol":"($3456$⪣⫩)≠≀($7445$⪑⩈)","expression":"(↹⩛24000⪣⫩)≠≀(↹⩛54245⪑⩈)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":49,"operation_count":3,"complexity_ratio":16.333333333333332,"tree":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":3456,"base":6}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":7445,"base":6}}},"used_operators":["IwW236VD4Y","iuk5sVOGFA","C6VvDP6HwP"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q"],"result":"↹⩛-234140","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3456","layer":2},{"info":"compute unary expreesion, input=3456, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=10335","layer":1},{"info":"number node, value=7445","layer":2},{"info":"compute unary expreesion, input=7445, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=53705","layer":1},{"info":"compute binary expreesion, left_input=10335, right_input=53705, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-20364","layer":0}],"base":6,"result_base":6,"text":"(↹⩛24000⪣⫩)≠≀(↹⩛54245⪑⩈)=↹⩛-234140","reverse_text":"↹⩛-234140=(↹⩛24000⪣⫩)≠≀(↹⩛54245⪑⩈)","cot":[{"info":"↹⩛24000⪣⫩=↹⩛115503","layer":1},{"info":"↹⩛54245⪑⩈=↹⩛1052345","layer":1},{"info":"↹⩛115503≠≀↹⩛1052345=↹⩛-234140","layer":0}]}
{"id":455,"expression_no_base_symbol":"⊀($1486$∝$2791$)","expression":"⊀(↹⩛10514∝↹⩛20531)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":26,"operation_count":2,"complexity_ratio":13.0,"tree":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1486,"base":6},"right_expr":{"type":"numeric_atoms","value":2791,"base":6}}},"used_operators":["oPMjh9089D","cTDWOvIxvz"],"dependent_operators":["Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"↹⩛42222","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1486","layer":2},{"info":"number node, value=2791","layer":2},{"info":"compute binary expreesion, left_input=1486, right_input=2791, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1491","layer":1},{"info":"compute unary expreesion, input=1491, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=5702","layer":0}],"base":6,"result_base":6,"text":"⊀(↹⩛10514∝↹⩛20531)=↹⩛42222","reverse_text":"↹⩛42222=⊀(↹⩛10514∝↹⩛20531)","cot":[{"info":"↹⩛10514∝↹⩛20531=↹⩛10523","layer":1},{"info":"⊀↹⩛10523=↹⩛42222","layer":0}]}
{"id":456,"expression_no_base_symbol":"⨙⪌($6718$≳⇉$1466$)","expression":"⨙⪌(↹⩛51034≳⇉↹⩛10442)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":22004972,"operation_count":2,"complexity_ratio":11002486.0,"tree":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":6718,"base":6},"right_expr":{"type":"numeric_atoms","value":1466,"base":6}}},"used_operators":["vEGLkm4Z2k","V0kx6qeWkN"],"dependent_operators":["tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=6718","layer":2},{"info":"number node, value=1466","layer":2},{"info":"compute binary expreesion, left_input=6718, right_input=1466, 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 = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⨙⪌(↹⩛51034≳⇉↹⩛10442)=NaN","reverse_text":"NaN=⨙⪌(↹⩛51034≳⇉↹⩛10442)","cot":[{"info":"↹⩛51034≳⇉↹⩛10442=NaN","layer":1},{"info":"⨙⪌NaN=NaN","layer":0}]}
{"id":457,"expression_no_base_symbol":"(⊁⨺$4633$)⊝⪿⪼($2337$⫃⨇$1008$)","expression":"(⊁⨺↹⩛33241)⊝⪿⪼(↹⩛14453⫃⨇↹⩛4400)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":48,"operation_count":3,"complexity_ratio":16.0,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":4633,"base":6}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2337,"base":6},"right_expr":{"type":"numeric_atoms","value":1008,"base":6}}},"used_operators":["3Oe9XWJUTD","PxiHyQbrIp","09Ly4LVMIf"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"↹⩛232500","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4633","layer":2},{"info":"compute unary expreesion, input=4633, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":1},{"info":"number node, value=2337","layer":2},{"info":"number node, value=1008","layer":2},{"info":"compute binary expreesion, left_input=2337, right_input=1008, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4064","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-4064, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=20052","layer":0}],"base":6,"result_base":6,"text":"(⊁⨺↹⩛33241)⊝⪿⪼(↹⩛14453⫃⨇↹⩛4400)=↹⩛232500","reverse_text":"↹⩛232500=(⊁⨺↹⩛33241)⊝⪿⪼(↹⩛14453⫃⨇↹⩛4400)","cot":[{"info":"⊁⨺↹⩛33241=↹⩛424","layer":1},{"info":"↹⩛14453⫃⨇↹⩛4400=↹⩛-30452","layer":1},{"info":"↹⩛424⊝⪿⪼↹⩛-30452=↹⩛232500","layer":0}]}
{"id":458,"expression_no_base_symbol":"($4693$⨰$5338$)⩅⪻⪻","expression":"(↹⩛33421⨰↹⩛40414)⩅⪻⪻","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2037,"operation_count":2,"complexity_ratio":1018.5,"tree":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4693,"base":6},"right_expr":{"type":"numeric_atoms","value":5338,"base":6}}},"used_operators":["kHoXpA7yos","eewbuw0ToL"],"dependent_operators":["SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛30231","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4693","layer":2},{"info":"number node, value=5338","layer":2},{"info":"compute binary expreesion, left_input=4693, right_input=5338, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-635","layer":1},{"info":"compute unary expreesion, input=-635, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=3979","layer":0}],"base":6,"result_base":6,"text":"(↹⩛33421⨰↹⩛40414)⩅⪻⪻=↹⩛30231","reverse_text":"↹⩛30231=(↹⩛33421⨰↹⩛40414)⩅⪻⪻","cot":[{"info":"↹⩛33421⨰↹⩛40414=↹⩛-2535","layer":1},{"info":"↹⩛-2535⩅⪻⪻=↹⩛30231","layer":0}]}
{"id":459,"expression_no_base_symbol":"⊿(⫎≠⋺$2671$)","expression":"⊿(⫎≠⋺↹⩛20211)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":38,"operation_count":2,"complexity_ratio":19.0,"tree":{"type":"unary","operator":"⊿","unary_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":2671,"base":6}}},"used_operators":["DO4fhlbJSI","LYeZOJ0nQG"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C"],"result":"↹⩛-3230","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2671","layer":2},{"info":"compute unary expreesion, input=2671, 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 = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-738","layer":0}],"base":6,"result_base":6,"text":"⊿(⫎≠⋺↹⩛20211)=↹⩛-3230","reverse_text":"↹⩛-3230=⊿(⫎≠⋺↹⩛20211)","cot":[{"info":"⫎≠⋺↹⩛20211=↹⩛0","layer":1},{"info":"⊿↹⩛0=↹⩛-3230","layer":0}]}
{"id":460,"expression_no_base_symbol":"($1103$↬⩅∪)+⪬∐(⊗$7768$)","expression":"(↹⩛5035↬⩅∪)+⪬∐(⊗↹⩛55544)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":33,"operation_count":3,"complexity_ratio":11.0,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":1103,"base":6}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":7768,"base":6}}},"used_operators":["2GS7woTJqF","VJ330n2nnx","RhiyfpczSx"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U"],"result":"↹⩛113543","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1103","layer":2},{"info":"compute unary expreesion, input=1103, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-3309","layer":1},{"info":"number node, value=7768","layer":2},{"info":"compute unary expreesion, input=7768, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-15536","layer":1},{"info":"compute binary expreesion, left_input=-3309, right_input=-15536, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=9927","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5035↬⩅∪)+⪬∐(⊗↹⩛55544)=↹⩛113543","reverse_text":"↹⩛113543=(↹⩛5035↬⩅∪)+⪬∐(⊗↹⩛55544)","cot":[{"info":"↹⩛5035↬⩅∪=↹⩛-23153","layer":1},{"info":"⊗↹⩛55544=↹⩛-155532","layer":1},{"info":"↹⩛-23153+⪬∐↹⩛-155532=↹⩛113543","layer":0}]}
{"id":461,"expression_no_base_symbol":"($4933$⨎$1848$)→⨶⪴$2358$⊉↱≁$1314$","expression":"(↹⩛34501⨎↹⩛12320)→⨶⪴↹⩛14530⊉↱≁↹⩛10030","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29,"operation_count":3,"complexity_ratio":9.666666666666666,"tree":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4933,"base":6},"right_expr":{"type":"numeric_atoms","value":1848,"base":6}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2358,"base":6},"right_expr":{"type":"numeric_atoms","value":1314,"base":6}}},"used_operators":["bF6eod5Gvf","rJVOvQCfKK","w2P8NbNXyL"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"↹⩛-1001140","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4933","layer":2},{"info":"number node, value=1848","layer":2},{"info":"compute binary expreesion, left_input=4933, right_input=1848, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1848","layer":1},{"info":"number node, value=2358","layer":2},{"info":"number node, value=1314","layer":2},{"info":"compute binary expreesion, left_input=2358, right_input=1314, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=15644","layer":1},{"info":"compute binary expreesion, left_input=1848, right_input=15644, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-46932","layer":0}],"base":6,"result_base":6,"text":"(↹⩛34501⨎↹⩛12320)→⨶⪴↹⩛14530⊉↱≁↹⩛10030=↹⩛-1001140","reverse_text":"↹⩛-1001140=(↹⩛34501⨎↹⩛12320)→⨶⪴↹⩛14530⊉↱≁↹⩛10030","cot":[{"info":"↹⩛34501⨎↹⩛12320=↹⩛12320","layer":1},{"info":"↹⩛14530⊉↱≁↹⩛10030=↹⩛200232","layer":1},{"info":"↹⩛12320→⨶⪴↹⩛200232=↹⩛-1001140","layer":0}]}
{"id":462,"expression_no_base_symbol":"($3099$⪒$5469$)⩟","expression":"(↹⩛22203⪒↹⩛41153)⩟","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":18,"operation_count":2,"complexity_ratio":9.0,"tree":{"type":"unary","operator":"⩟","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3099,"base":6},"right_expr":{"type":"numeric_atoms","value":5469,"base":6}}},"used_operators":["fOIeswaMU4","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛1402403","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3099","layer":2},{"info":"number node, value=5469","layer":2},{"info":"compute binary expreesion, left_input=3099, right_input=5469, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8568","layer":1},{"info":"compute unary expreesion, input=-8568, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=78339","layer":0}],"base":6,"result_base":6,"text":"(↹⩛22203⪒↹⩛41153)⩟=↹⩛1402403","reverse_text":"↹⩛1402403=(↹⩛22203⪒↹⩛41153)⩟","cot":[{"info":"↹⩛22203⪒↹⩛41153=↹⩛-103400","layer":1},{"info":"↹⩛-103400⩟=↹⩛1402403","layer":0}]}
{"id":463,"expression_no_base_symbol":"$7268$⨓$2887$⪕($5658$⩎⪣⊞)","expression":"↹⩛53352⨓↹⩛21211⪕(↹⩛42110⩎⪣⊞)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":82121,"operation_count":3,"complexity_ratio":27373.666666666668,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":7268,"base":6},"right_expr":{"type":"numeric_atoms","value":2887,"base":6}},"right_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"numeric_atoms","value":5658,"base":6}}},"used_operators":["umQnsF7QlU","3ViojmjbAp","waWucp1uQ4"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","mp7IySMOzn"],"result":"↹⩛-131","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7268","layer":2},{"info":"number node, value=2887","layer":2},{"info":"compute binary expreesion, left_input=7268, right_input=2887, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2890","layer":1},{"info":"number node, value=5658","layer":2},{"info":"compute unary expreesion, input=5658, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=11316","layer":1},{"info":"compute binary expreesion, left_input=-2890, right_input=11316, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":0}],"base":6,"result_base":6,"text":"↹⩛53352⨓↹⩛21211⪕(↹⩛42110⩎⪣⊞)=↹⩛-131","reverse_text":"↹⩛-131=↹⩛53352⨓↹⩛21211⪕(↹⩛42110⩎⪣⊞)","cot":[{"info":"↹⩛53352⨓↹⩛21211=↹⩛-21214","layer":1},{"info":"↹⩛42110⩎⪣⊞=↹⩛124220","layer":1},{"info":"↹⩛-21214⪕↹⩛124220=↹⩛-131","layer":0}]}
{"id":464,"expression_no_base_symbol":"($2507$⊘)⩷∴(⊖∈$5356$)","expression":"(↹⩛15335⊘)⩷∴(⊖∈↹⩛40444)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":81,"operation_count":3,"complexity_ratio":27.0,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2507,"base":6}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":5356,"base":6}}},"used_operators":["9FxExcQeMw","gu96TGCTMs","YFxL8Sc2Zy"],"dependent_operators":["rysDP5nf3Z","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu"],"result":"↹⩛-4204112","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2507","layer":2},{"info":"compute unary expreesion, input=2507, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":1},{"info":"number node, value=5356","layer":2},{"info":"compute unary expreesion, input=5356, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=101526","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=101526, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-203084","layer":0}],"base":6,"result_base":6,"text":"(↹⩛15335⊘)⩷∴(⊖∈↹⩛40444)=↹⩛-4204112","reverse_text":"↹⩛-4204112=(↹⩛15335⊘)⩷∴(⊖∈↹⩛40444)","cot":[{"info":"↹⩛15335⊘=↹⩛0","layer":1},{"info":"⊖∈↹⩛40444=↹⩛2102010","layer":1},{"info":"↹⩛0⩷∴↹⩛2102010=↹⩛-4204112","layer":0}]}
{"id":465,"expression_no_base_symbol":"(⩷⨜⫀$8089$)↠","expression":"(⩷⨜⫀↹⩛101241)↠","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1601,"operation_count":2,"complexity_ratio":800.5,"tree":{"type":"unary","operator":"↠","unary_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":8089,"base":6}}},"used_operators":["LBdsKIvxzf","CDi0ktkjQ4"],"dependent_operators":["d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","ruOEQAzv1W","nhYeJWJD5X"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8089","layer":2},{"info":"compute unary expreesion, input=8089, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-7816","layer":1},{"info":"compute unary expreesion, input=-7816, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⩷⨜⫀↹⩛101241)↠=NaN","reverse_text":"NaN=(⩷⨜⫀↹⩛101241)↠","cot":[{"info":"⩷⨜⫀↹⩛101241=↹⩛-100104","layer":1},{"info":"↹⩛-100104↠=NaN","layer":0}]}
{"id":466,"expression_no_base_symbol":"$1758$⇣⩺⋵$4399$≓∲(⨈⫕$3265$)","expression":"↹⩛12050⇣⩺⋵↹⩛32211≓∲(⨈⫕↹⩛23041)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":554,"operation_count":3,"complexity_ratio":184.66666666666666,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1758,"base":6},"right_expr":{"type":"numeric_atoms","value":4399,"base":6}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3265,"base":6}}},"used_operators":["s1XTVnmDOJ","F4yD0voBRQ","megm06wKyl"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1758","layer":2},{"info":"number node, value=4399","layer":2},{"info":"compute binary expreesion, left_input=1758, right_input=4399, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-1704","layer":1},{"info":"number node, value=3265","layer":2},{"info":"compute unary expreesion, input=3265, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=-1704, right_input=-21, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":0}],"base":6,"result_base":6,"text":"↹⩛12050⇣⩺⋵↹⩛32211≓∲(⨈⫕↹⩛23041)=↹⩛151","reverse_text":"↹⩛151=↹⩛12050⇣⩺⋵↹⩛32211≓∲(⨈⫕↹⩛23041)","cot":[{"info":"↹⩛12050⇣⩺⋵↹⩛32211=↹⩛-11520","layer":1},{"info":"⨈⫕↹⩛23041=↹⩛-33","layer":1},{"info":"↹⩛-11520≓∲↹⩛-33=↹⩛151","layer":0}]}
{"id":467,"expression_no_base_symbol":"$3088$≹⇙⪍$6097$⪨⊡($2095$∷$3812$)","expression":"↹⩛22144≹⇙⪍↹⩛44121⪨⊡(↹⩛13411∷↹⩛25352)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15,"operation_count":3,"complexity_ratio":5.0,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3088,"base":6},"right_expr":{"type":"numeric_atoms","value":6097,"base":6}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2095,"base":6},"right_expr":{"type":"numeric_atoms","value":3812,"base":6}}},"used_operators":["kuIXHzHcAH","AHs5Up7iyr","D3AQDKkPcf"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","dWAJyo7jo9","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3088","layer":2},{"info":"number node, value=6097","layer":2},{"info":"compute binary expreesion, left_input=3088, right_input=6097, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2095","layer":2},{"info":"number node, value=3812","layer":2},{"info":"compute binary expreesion, left_input=2095, right_input=3812, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3812","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3812, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛22144≹⇙⪍↹⩛44121⪨⊡(↹⩛13411∷↹⩛25352)=NaN","reverse_text":"NaN=↹⩛22144≹⇙⪍↹⩛44121⪨⊡(↹⩛13411∷↹⩛25352)","cot":[{"info":"↹⩛22144≹⇙⪍↹⩛44121=NaN","layer":1},{"info":"↹⩛13411∷↹⩛25352=↹⩛25352","layer":1},{"info":"NaN⪨⊡↹⩛25352=NaN","layer":0}]}
{"id":468,"expression_no_base_symbol":"($1526$≬⋮$4435$)⇄(↑$4926$)","expression":"(↹⩛11022≬⋮↹⩛32311)⇄(↑↹⩛34450)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":62,"operation_count":3,"complexity_ratio":20.666666666666668,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1526,"base":6},"right_expr":{"type":"numeric_atoms","value":4435,"base":6}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":4926,"base":6}}},"used_operators":["3EYGwJThht","kbkesczE7y","tR7O2zTn5j"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1526","layer":2},{"info":"number node, value=4435","layer":2},{"info":"compute binary expreesion, left_input=1526, right_input=4435, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=4926","layer":2},{"info":"compute unary expreesion, input=4926, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=192, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":0}],"base":6,"result_base":6,"text":"(↹⩛11022≬⋮↹⩛32311)⇄(↑↹⩛34450)=↹⩛0","reverse_text":"↹⩛0=(↹⩛11022≬⋮↹⩛32311)⇄(↑↹⩛34450)","cot":[{"info":"↹⩛11022≬⋮↹⩛32311=↹⩛4004","layer":1},{"info":"↑↹⩛34450=↹⩛520","layer":1},{"info":"↹⩛4004⇄↹⩛520=↹⩛0","layer":0}]}
{"id":469,"expression_no_base_symbol":"($5474$↱$4514$)⨓(⩎⋉$4717$)","expression":"(↹⩛41202↱↹⩛32522)⨓(⩎⋉↹⩛33501)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1778,"operation_count":3,"complexity_ratio":592.6666666666666,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":5474,"base":6},"right_expr":{"type":"numeric_atoms","value":4514,"base":6}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":4717,"base":6}}},"used_operators":["3ViojmjbAp","SR5kFfdi6N","FlXk3pOYe8"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"↹⩛-11353","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5474","layer":2},{"info":"number node, value=4514","layer":2},{"info":"compute binary expreesion, left_input=5474, right_input=4514, 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=-13020","layer":1},{"info":"number node, value=4717","layer":2},{"info":"compute unary expreesion, input=4717, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":1},{"info":"compute binary expreesion, left_input=-13020, right_input=1650, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1653","layer":0}],"base":6,"result_base":6,"text":"(↹⩛41202↱↹⩛32522)⨓(⩎⋉↹⩛33501)=↹⩛-11353","reverse_text":"↹⩛-11353=(↹⩛41202↱↹⩛32522)⨓(⩎⋉↹⩛33501)","cot":[{"info":"↹⩛41202↱↹⩛32522=↹⩛-140140","layer":1},{"info":"⩎⋉↹⩛33501=↹⩛11350","layer":1},{"info":"↹⩛-140140⨓↹⩛11350=↹⩛-11353","layer":0}]}
{"id":470,"expression_no_base_symbol":"⇾⩊⇾($1035$/$2724$)","expression":"⇾⩊⇾(↹⩛4443/↹⩛20340)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14,"operation_count":2,"complexity_ratio":7.0,"tree":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1035,"base":6},"right_expr":{"type":"numeric_atoms","value":2724,"base":6}}},"used_operators":["bx9Z9DAK5y","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","rysDP5nf3Z"],"result":"↹⩛-50010","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1035","layer":2},{"info":"number node, value=2724","layer":2},{"info":"compute binary expreesion, left_input=1035, right_input=2724, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-6486","layer":0}],"base":6,"result_base":6,"text":"⇾⩊⇾(↹⩛4443/↹⩛20340)=↹⩛-50010","reverse_text":"↹⩛-50010=⇾⩊⇾(↹⩛4443/↹⩛20340)","cot":[{"info":"↹⩛4443/↹⩛20340=↹⩛0","layer":1},{"info":"⇾⩊⇾↹⩛0=↹⩛-50010","layer":0}]}
{"id":471,"expression_no_base_symbol":"$2380$⋛$5000$⫦⪉$4032$∠⫱$1857$","expression":"↹⩛15004⋛↹⩛35052⫦⪉↹⩛30400∠⫱↹⩛12333","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":297,"operation_count":3,"complexity_ratio":99.0,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2380,"base":6},"right_expr":{"type":"numeric_atoms","value":5000,"base":6}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":4032,"base":6},"right_expr":{"type":"numeric_atoms","value":1857,"base":6}}},"used_operators":["wscyQdcy20","YbUVn0Rbpy","QvoQhV0rrE"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"↹⩛4455234","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2380","layer":2},{"info":"number node, value=5000","layer":2},{"info":"compute binary expreesion, left_input=2380, right_input=5000, 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=-110772","layer":1},{"info":"number node, value=4032","layer":2},{"info":"number node, value=1857","layer":2},{"info":"compute binary expreesion, left_input=4032, right_input=1857, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=-110772, right_input=1234, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=225382","layer":0}],"base":6,"result_base":6,"text":"↹⩛15004⋛↹⩛35052⫦⪉↹⩛30400∠⫱↹⩛12333=↹⩛4455234","reverse_text":"↹⩛4455234=↹⩛15004⋛↹⩛35052⫦⪉↹⩛30400∠⫱↹⩛12333","cot":[{"info":"↹⩛15004⋛↹⩛35052=↹⩛-2212500","layer":1},{"info":"↹⩛30400∠⫱↹⩛12333=↹⩛5414","layer":1},{"info":"↹⩛-2212500⫦⪉↹⩛5414=↹⩛4455234","layer":0}]}
{"id":472,"expression_no_base_symbol":"(⊀$5535$)⨎(⇈$1221$)","expression":"(⊀↹⩛41343)⨎(⇈↹⩛5353)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1035,"operation_count":3,"complexity_ratio":345.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":5535,"base":6}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":1221,"base":6}}},"used_operators":["rJVOvQCfKK","oPMjh9089D","SLLxy00UIr"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ"],"result":"↹⩛-2023","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5535","layer":2},{"info":"compute unary expreesion, input=5535, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=21878","layer":1},{"info":"number node, value=1221","layer":2},{"info":"compute unary expreesion, input=1221, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=21878, right_input=-447, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-447","layer":0}],"base":6,"result_base":6,"text":"(⊀↹⩛41343)⨎(⇈↹⩛5353)=↹⩛-2023","reverse_text":"↹⩛-2023=(⊀↹⩛41343)⨎(⇈↹⩛5353)","cot":[{"info":"⊀↹⩛41343=↹⩛245142","layer":1},{"info":"⇈↹⩛5353=↹⩛-2023","layer":1},{"info":"↹⩛245142⨎↹⩛-2023=↹⩛-2023","layer":0}]}
{"id":473,"expression_no_base_symbol":"⫵↿($5489$⋝⋈⪟$1200$)","expression":"⫵↿(↹⩛41225⋝⋈⪟↹⩛5320)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":30,"operation_count":2,"complexity_ratio":15.0,"tree":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5489,"base":6},"right_expr":{"type":"numeric_atoms","value":1200,"base":6}}},"used_operators":["ivGwdmUAux","2DDjHMKMc0"],"dependent_operators":["LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛345","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5489","layer":2},{"info":"number node, value=1200","layer":2},{"info":"compute binary expreesion, left_input=5489, right_input=1200, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5489","layer":1},{"info":"compute unary expreesion, input=5489, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":0}],"base":6,"result_base":6,"text":"⫵↿(↹⩛41225⋝⋈⪟↹⩛5320)=↹⩛345","reverse_text":"↹⩛345=⫵↿(↹⩛41225⋝⋈⪟↹⩛5320)","cot":[{"info":"↹⩛41225⋝⋈⪟↹⩛5320=↹⩛41225","layer":1},{"info":"⫵↿↹⩛41225=↹⩛345","layer":0}]}
{"id":474,"expression_no_base_symbol":"⋼∭⪍(⇤←$6309$)","expression":"⋼∭⪍(⇤←↹⩛45113)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":61,"operation_count":2,"complexity_ratio":30.5,"tree":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":6309,"base":6}}},"used_operators":["DbCuESL50I","jfAgQ2OQeM"],"dependent_operators":["e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx"],"result":"↹⩛-3513500","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6309","layer":2},{"info":"compute unary expreesion, input=6309, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-30179","layer":1},{"info":"compute unary expreesion, input=-30179, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-180972","layer":0}],"base":6,"result_base":6,"text":"⋼∭⪍(⇤←↹⩛45113)=↹⩛-3513500","reverse_text":"↹⩛-3513500=⋼∭⪍(⇤←↹⩛45113)","cot":[{"info":"⇤←↹⩛45113=↹⩛-351415","layer":1},{"info":"⋼∭⪍↹⩛-351415=↹⩛-3513500","layer":0}]}
{"id":475,"expression_no_base_symbol":"($1640$↑)⇽⩪","expression":"(↹⩛11332↑)⇽⩪","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":27,"operation_count":2,"complexity_ratio":13.5,"tree":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1640,"base":6}}},"used_operators":["FonBHBYJbU","BThhyOhh10"],"dependent_operators":["W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq"],"result":"↹⩛-1410","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1640","layer":2},{"info":"compute unary expreesion, input=1640, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":1},{"info":"compute unary expreesion, input=222, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=-366","layer":0}],"base":6,"result_base":6,"text":"(↹⩛11332↑)⇽⩪=↹⩛-1410","reverse_text":"↹⩛-1410=(↹⩛11332↑)⇽⩪","cot":[{"info":"↹⩛11332↑=↹⩛1010","layer":1},{"info":"↹⩛1010⇽⩪=↹⩛-1410","layer":0}]}
{"id":476,"expression_no_base_symbol":"($1900$∼$1653$)⫁⪎($1086$⨒$2466$)","expression":"(↹⩛12444∼↹⩛11353)⫁⪎(↹⩛5010⨒↹⩛15230)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":67,"operation_count":3,"complexity_ratio":22.333333333333332,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1900,"base":6},"right_expr":{"type":"numeric_atoms","value":1653,"base":6}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1086,"base":6},"right_expr":{"type":"numeric_atoms","value":2466,"base":6}}},"used_operators":["xRrnTEsQ6j","DyGG3AbaNP","y75s1iXyHd"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1900","layer":2},{"info":"number node, value=1653","layer":2},{"info":"compute binary expreesion, left_input=1900, right_input=1653, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"number node, value=1086","layer":2},{"info":"number node, value=2466","layer":2},{"info":"compute binary expreesion, left_input=1086, right_input=2466, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-6144","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-6144, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛12444∼↹⩛11353)⫁⪎(↹⩛5010⨒↹⩛15230)=NaN","reverse_text":"NaN=(↹⩛12444∼↹⩛11353)⫁⪎(↹⩛5010⨒↹⩛15230)","cot":[{"info":"↹⩛12444∼↹⩛11353=NaN","layer":1},{"info":"↹⩛5010⨒↹⩛15230=↹⩛-44240","layer":1},{"info":"NaN⫁⪎↹⩛-44240=NaN","layer":0}]}
{"id":477,"expression_no_base_symbol":"($1548$+$6274$)≹⇙⪍($3052$∪⫐$3119$)","expression":"(↹⩛11100+↹⩛45014)≹⇙⪍(↹⩛22044∪⫐↹⩛22235)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1548,"base":6},"right_expr":{"type":"numeric_atoms","value":6274,"base":6}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":3052,"base":6},"right_expr":{"type":"numeric_atoms","value":3119,"base":6}}},"used_operators":["AHs5Up7iyr","W4YGzv6Whe","7YooWSwCyH"],"dependent_operators":["dWAJyo7jo9","rJVOvQCfKK","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1548","layer":2},{"info":"number node, value=6274","layer":2},{"info":"compute binary expreesion, left_input=1548, right_input=6274, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7822","layer":1},{"info":"number node, value=3052","layer":2},{"info":"number node, value=3119","layer":2},{"info":"compute binary expreesion, left_input=3052, right_input=3119, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=3052","layer":1},{"info":"compute binary expreesion, left_input=7822, right_input=3052, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":6,"result_base":6,"text":"(↹⩛11100+↹⩛45014)≹⇙⪍(↹⩛22044∪⫐↹⩛22235)=NaN","reverse_text":"NaN=(↹⩛11100+↹⩛45014)≹⇙⪍(↹⩛22044∪⫐↹⩛22235)","cot":[{"info":"↹⩛11100+↹⩛45014=↹⩛100114","layer":1},{"info":"↹⩛22044∪⫐↹⩛22235=↹⩛22044","layer":1},{"info":"↹⩛100114≹⇙⪍↹⩛22044=NaN","layer":0}]}
{"id":478,"expression_no_base_symbol":"$1292$↸$5488$⨸⪁($3452$⇪⋭)","expression":"↹⩛5552↸↹⩛41224⨸⪁(↹⩛23552⇪⋭)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1319,"operation_count":3,"complexity_ratio":439.6666666666667,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1292,"base":6},"right_expr":{"type":"numeric_atoms","value":5488,"base":6}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":3452,"base":6}}},"used_operators":["g55IO6H4Gj","1eCjFl0mb9","Z8Yg6dlDSp"],"dependent_operators":["W4YGzv6Whe","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1292","layer":2},{"info":"number node, value=5488","layer":2},{"info":"compute binary expreesion, left_input=1292, right_input=5488, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1292","layer":1},{"info":"number node, value=3452","layer":2},{"info":"compute unary expreesion, input=3452, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1292, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛5552↸↹⩛41224⨸⪁(↹⩛23552⇪⋭)=NaN","reverse_text":"NaN=↹⩛5552↸↹⩛41224⨸⪁(↹⩛23552⇪⋭)","cot":[{"info":"↹⩛5552↸↹⩛41224=↹⩛5552","layer":1},{"info":"↹⩛23552⇪⋭=NaN","layer":1},{"info":"↹⩛5552⨸⪁NaN=NaN","layer":0}]}
{"id":479,"expression_no_base_symbol":"$3380$≎⪠$1440$⨻⩈⩔($2908$∵≐)","expression":"↹⩛23352≎⪠↹⩛10400⨻⩈⩔(↹⩛21244∵≐)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19221,"operation_count":3,"complexity_ratio":6407.0,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":3380,"base":6},"right_expr":{"type":"numeric_atoms","value":1440,"base":6}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":2908,"base":6}}},"used_operators":["nEsXyWgiOK","aNhz54LH3e","59igzFyhWz"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM"],"result":"↹⩛3101251","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3380","layer":2},{"info":"number node, value=1440","layer":2},{"info":"compute binary expreesion, left_input=3380, right_input=1440, 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=2908","layer":2},{"info":"compute unary expreesion, input=2908, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=1962","layer":1},{"info":"compute binary expreesion, left_input=19558, right_input=1962, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=148063","layer":0}],"base":6,"result_base":6,"text":"↹⩛23352≎⪠↹⩛10400⨻⩈⩔(↹⩛21244∵≐)=↹⩛3101251","reverse_text":"↹⩛3101251=↹⩛23352≎⪠↹⩛10400⨻⩈⩔(↹⩛21244∵≐)","cot":[{"info":"↹⩛23352≎⪠↹⩛10400=↹⩛230314","layer":1},{"info":"↹⩛21244∵≐=↹⩛13030","layer":1},{"info":"↹⩛230314⨻⩈⩔↹⩛13030=↹⩛3101251","layer":0}]}
{"id":480,"expression_no_base_symbol":"($1045$⩷∴$1921$)≴⪞⇿($1159$≃$1639$)","expression":"(↹⩛4501⩷∴↹⩛12521)≴⪞⇿(↹⩛5211≃↹⩛11331)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":66,"operation_count":3,"complexity_ratio":22.0,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1045,"base":6},"right_expr":{"type":"numeric_atoms","value":1921,"base":6}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1159,"base":6},"right_expr":{"type":"numeric_atoms","value":1639,"base":6}}},"used_operators":["lvlrscuwVU","9FxExcQeMw","YbVcJGFEVW"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"↹⩛-1430203","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1045","layer":2},{"info":"number node, value=1921","layer":2},{"info":"compute binary expreesion, left_input=1045, right_input=1921, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1784","layer":1},{"info":"number node, value=1159","layer":2},{"info":"number node, value=1639","layer":2},{"info":"compute binary expreesion, left_input=1159, right_input=1639, 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=-4676","layer":1},{"info":"compute binary expreesion, left_input=-1784, right_input=-4676, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-81723","layer":0}],"base":6,"result_base":6,"text":"(↹⩛4501⩷∴↹⩛12521)≴⪞⇿(↹⩛5211≃↹⩛11331)=↹⩛-1430203","reverse_text":"↹⩛-1430203=(↹⩛4501⩷∴↹⩛12521)≴⪞⇿(↹⩛5211≃↹⩛11331)","cot":[{"info":"↹⩛4501⩷∴↹⩛12521=↹⩛-12132","layer":1},{"info":"↹⩛5211≃↹⩛11331=↹⩛-33352","layer":1},{"info":"↹⩛-12132≴⪞⇿↹⩛-33352=↹⩛-1430203","layer":0}]}
{"id":481,"expression_no_base_symbol":"↪⫪⫘($5694$⩖⊿$1016$)","expression":"↪⫪⫘(↹⩛42210⩖⊿↹⩛4412)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":648,"operation_count":2,"complexity_ratio":324.0,"tree":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":5694,"base":6},"right_expr":{"type":"numeric_atoms","value":1016,"base":6}}},"used_operators":["9dWsAM3GFt","RZ5CV9rWsJ"],"dependent_operators":["DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"↹⩛32","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5694","layer":2},{"info":"number node, value=1016","layer":2},{"info":"compute binary expreesion, left_input=5694, right_input=1016, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-14730","layer":1},{"info":"compute unary expreesion, input=-14730, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":0}],"base":6,"result_base":6,"text":"↪⫪⫘(↹⩛42210⩖⊿↹⩛4412)=↹⩛32","reverse_text":"↹⩛32=↪⫪⫘(↹⩛42210⩖⊿↹⩛4412)","cot":[{"info":"↹⩛42210⩖⊿↹⩛4412=↹⩛-152110","layer":1},{"info":"↪⫪⫘↹⩛-152110=↹⩛32","layer":0}]}
{"id":482,"expression_no_base_symbol":"⨛($1078$⪓⨏)","expression":"⨛(↹⩛4554⪓⨏)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1295,"operation_count":2,"complexity_ratio":647.5,"tree":{"type":"unary","operator":"⨛","unary_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"numeric_atoms","value":1078,"base":6}}},"used_operators":["CoMdbyAt7R","4X9JU4Jbn6"],"dependent_operators":["U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1078","layer":2},{"info":"compute unary expreesion, input=1078, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⨛(↹⩛4554⪓⨏)=NaN","reverse_text":"NaN=⨛(↹⩛4554⪓⨏)","cot":[{"info":"↹⩛4554⪓⨏=NaN","layer":1},{"info":"⨛NaN=NaN","layer":0}]}
{"id":483,"expression_no_base_symbol":"(⪛⨧$2725$)⨪↰⇹(⩒∊$2594$)","expression":"(⪛⨧↹⩛20341)⨪↰⇹(⩒∊↹⩛20002)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6866,"operation_count":3,"complexity_ratio":2288.6666666666665,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":2725,"base":6}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":2594,"base":6}}},"used_operators":["tmPS8pqC7x","6NJAcO2OWT","qazvmhNBbN"],"dependent_operators":["rJVOvQCfKK","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6"],"result":"↹⩛51415","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2725","layer":2},{"info":"compute unary expreesion, input=2725, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=6851","layer":1},{"info":"number node, value=2594","layer":2},{"info":"compute unary expreesion, input=2594, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=4431","layer":1},{"info":"compute binary expreesion, left_input=6851, right_input=4431, 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=6851","layer":0}],"base":6,"result_base":6,"text":"(⪛⨧↹⩛20341)⨪↰⇹(⩒∊↹⩛20002)=↹⩛51415","reverse_text":"↹⩛51415=(⪛⨧↹⩛20341)⨪↰⇹(⩒∊↹⩛20002)","cot":[{"info":"⪛⨧↹⩛20341=↹⩛51415","layer":1},{"info":"⩒∊↹⩛20002=↹⩛32303","layer":1},{"info":"↹⩛51415⨪↰⇹↹⩛32303=↹⩛51415","layer":0}]}
{"id":484,"expression_no_base_symbol":"($1253$⨁⊸⫻)⨽⪊≇","expression":"(↹⩛5445⨁⊸⫻)⨽⪊≇","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1253,"base":6}}},"used_operators":["nlCqmYiOvY","glklzrTFfD"],"dependent_operators":["W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","W4YGzv6Whe","rysDP5nf3Z"],"result":"↹⩛13100","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1253","layer":2},{"info":"compute unary expreesion, input=1253, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1253","layer":1},{"info":"compute unary expreesion, input=1253, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=1980","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5445⨁⊸⫻)⨽⪊≇=↹⩛13100","reverse_text":"↹⩛13100=(↹⩛5445⨁⊸⫻)⨽⪊≇","cot":[{"info":"↹⩛5445⨁⊸⫻=↹⩛5445","layer":1},{"info":"↹⩛5445⨽⪊≇=↹⩛13100","layer":0}]}
{"id":485,"expression_no_base_symbol":"⊗($9329$⪉⨛$3274$)","expression":"⊗(↹⩛111105⪉⨛↹⩛23054)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":47,"operation_count":2,"complexity_ratio":23.5,"tree":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":9329,"base":6},"right_expr":{"type":"numeric_atoms","value":3274,"base":6}}},"used_operators":["RhiyfpczSx","EWw2JM7wp4"],"dependent_operators":["nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"↹⩛-1022452","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=9329","layer":2},{"info":"number node, value=3274","layer":2},{"info":"compute binary expreesion, left_input=9329, right_input=3274, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=24928","layer":1},{"info":"compute unary expreesion, input=24928, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-49856","layer":0}],"base":6,"result_base":6,"text":"⊗(↹⩛111105⪉⨛↹⩛23054)=↹⩛-1022452","reverse_text":"↹⩛-1022452=⊗(↹⩛111105⪉⨛↹⩛23054)","cot":[{"info":"↹⩛111105⪉⨛↹⩛23054=↹⩛311224","layer":1},{"info":"⊗↹⩛311224=↹⩛-1022452","layer":0}]}
{"id":486,"expression_no_base_symbol":"$1664$⋹⋡⊁$4673$≴⪞⇿$3547$⨿$1745$","expression":"↹⩛11412⋹⋡⊁↹⩛33345≴⪞⇿↹⩛24231⨿↹⩛12025","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":67943,"operation_count":3,"complexity_ratio":22647.666666666668,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1664,"base":6},"right_expr":{"type":"numeric_atoms","value":4673,"base":6}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":3547,"base":6},"right_expr":{"type":"numeric_atoms","value":1745,"base":6}}},"used_operators":["lvlrscuwVU","As8RqfVLgs","abYXlopdE0"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"↹⩛5132350305","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1664","layer":2},{"info":"number node, value=4673","layer":2},{"info":"compute binary expreesion, left_input=1664, right_input=4673, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=5423","layer":1},{"info":"number node, value=3547","layer":2},{"info":"number node, value=1745","layer":2},{"info":"compute binary expreesion, left_input=3547, right_input=1745, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":1},{"info":"compute binary expreesion, left_input=5423, right_input=-319, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=53031137","layer":0}],"base":6,"result_base":6,"text":"↹⩛11412⋹⋡⊁↹⩛33345≴⪞⇿↹⩛24231⨿↹⩛12025=↹⩛5132350305","reverse_text":"↹⩛5132350305=↹⩛11412⋹⋡⊁↹⩛33345≴⪞⇿↹⩛24231⨿↹⩛12025","cot":[{"info":"↹⩛11412⋹⋡⊁↹⩛33345=↹⩛41035","layer":1},{"info":"↹⩛24231⨿↹⩛12025=↹⩛-1251","layer":1},{"info":"↹⩛41035≴⪞⇿↹⩛-1251=↹⩛5132350305","layer":0}]}
{"id":487,"expression_no_base_symbol":"⨴⫝($6034$⫦⪉$1250$)","expression":"⨴⫝(↹⩛43534⫦⪉↹⩛5442)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1844,"operation_count":2,"complexity_ratio":922.0,"tree":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":6034,"base":6},"right_expr":{"type":"numeric_atoms","value":1250,"base":6}}},"used_operators":["SVb2v531z1","wscyQdcy20"],"dependent_operators":["oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"↹⩛140341302","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6034","layer":2},{"info":"number node, value=1250","layer":2},{"info":"compute binary expreesion, left_input=6034, right_input=1250, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-7168","layer":1},{"info":"compute unary expreesion, input=-7168, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":0}],"base":6,"result_base":6,"text":"⨴⫝(↹⩛43534⫦⪉↹⩛5442)=↹⩛140341302","reverse_text":"↹⩛140341302=⨴⫝(↹⩛43534⫦⪉↹⩛5442)","cot":[{"info":"↹⩛43534⫦⪉↹⩛5442=↹⩛-53104","layer":1},{"info":"⨴⫝↹⩛-53104=↹⩛140341302","layer":0}]}
{"id":488,"expression_no_base_symbol":"($3960$+⪬∐$6064$)↹⊜$4415$⇂≾⫗$1071$","expression":"(↹⩛30200+⪬∐↹⩛44024)↹⊜↹⩛32235⇂≾⫗↹⩛4543","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":83,"operation_count":3,"complexity_ratio":27.666666666666668,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":3960,"base":6},"right_expr":{"type":"numeric_atoms","value":6064,"base":6}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":4415,"base":6},"right_expr":{"type":"numeric_atoms","value":1071,"base":6}}},"used_operators":["9bazX3JMtO","2GS7woTJqF","aBQ6xLxuTc"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","g55IO6H4Gj","D4vGDi5EA2","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"↹⩛40332","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3960","layer":2},{"info":"number node, value=6064","layer":2},{"info":"compute binary expreesion, left_input=3960, right_input=6064, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-11880","layer":1},{"info":"number node, value=4415","layer":2},{"info":"number node, value=1071","layer":2},{"info":"compute binary expreesion, left_input=4415, right_input=1071, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"compute binary expreesion, left_input=-11880, right_input=-676, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=5312","layer":0}],"base":6,"result_base":6,"text":"(↹⩛30200+⪬∐↹⩛44024)↹⊜↹⩛32235⇂≾⫗↹⩛4543=↹⩛40332","reverse_text":"↹⩛40332=(↹⩛30200+⪬∐↹⩛44024)↹⊜↹⩛32235⇂≾⫗↹⩛4543","cot":[{"info":"↹⩛30200+⪬∐↹⩛44024=↹⩛-131000","layer":1},{"info":"↹⩛32235⇂≾⫗↹⩛4543=↹⩛-3044","layer":1},{"info":"↹⩛-131000↹⊜↹⩛-3044=↹⩛40332","layer":0}]}
{"id":489,"expression_no_base_symbol":"$2165$∛$4894$⩒⫫$3844$⊲⩕⊾$8460$","expression":"↹⩛14005∛↹⩛34354⩒⫫↹⩛25444⊲⩕⊾↹⩛103100","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":148,"operation_count":3,"complexity_ratio":49.333333333333336,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2165,"base":6},"right_expr":{"type":"numeric_atoms","value":4894,"base":6}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":3844,"base":6},"right_expr":{"type":"numeric_atoms","value":8460,"base":6}}},"used_operators":["KFSx94NKJn","w2537kitQq","DmTXOeWf9t"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"↹⩛-13554","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2165","layer":2},{"info":"number node, value=4894","layer":2},{"info":"compute binary expreesion, left_input=2165, right_input=4894, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":1},{"info":"number node, value=3844","layer":2},{"info":"number node, value=8460","layer":2},{"info":"compute binary expreesion, left_input=3844, right_input=8460, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-142734","layer":1},{"info":"compute binary expreesion, left_input=-670, right_input=-142734, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=-2158","layer":0}],"base":6,"result_base":6,"text":"↹⩛14005∛↹⩛34354⩒⫫↹⩛25444⊲⩕⊾↹⩛103100=↹⩛-13554","reverse_text":"↹⩛-13554=↹⩛14005∛↹⩛34354⩒⫫↹⩛25444⊲⩕⊾↹⩛103100","cot":[{"info":"↹⩛14005∛↹⩛34354=↹⩛-3034","layer":1},{"info":"↹⩛25444⊲⩕⊾↹⩛103100=↹⩛-3020450","layer":1},{"info":"↹⩛-3034⩒⫫↹⩛-3020450=↹⩛-13554","layer":0}]}
{"id":490,"expression_no_base_symbol":"⋎⨆(⩪∧⨌$2385$)","expression":"⋎⨆(⩪∧⨌↹⩛15013)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":35,"operation_count":2,"complexity_ratio":17.5,"tree":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":2385,"base":6}}},"used_operators":["E64sFOc4tB","6iOiAJX1F8"],"dependent_operators":["PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2385","layer":2},{"info":"compute unary expreesion, input=2385, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=23850","layer":1},{"info":"compute unary expreesion, input=23850, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"⋎⨆(⩪∧⨌↹⩛15013)=↹⩛0","reverse_text":"↹⩛0=⋎⨆(⩪∧⨌↹⩛15013)","cot":[{"info":"⩪∧⨌↹⩛15013=↹⩛302230","layer":1},{"info":"⋎⨆↹⩛302230=↹⩛0","layer":0}]}
{"id":491,"expression_no_base_symbol":"$1145$∋$5067$⩺⪪$1594$→⨶⪴$6737$","expression":"↹⩛5145∋↹⩛35243⩺⪪↹⩛11214→⨶⪴↹⩛51105","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":238,"operation_count":3,"complexity_ratio":79.33333333333333,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1145,"base":6},"right_expr":{"type":"numeric_atoms","value":5067,"base":6}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1594,"base":6},"right_expr":{"type":"numeric_atoms","value":6737,"base":6}}},"used_operators":["uvdQJvN4PV","ukq6epAj5P","bF6eod5Gvf"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","8w2t5hMYqp","9FxExcQeMw"],"result":"↹⩛-24413214334","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1145","layer":2},{"info":"number node, value=5067","layer":2},{"info":"compute binary expreesion, left_input=1145, right_input=5067, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=10504692","layer":1},{"info":"number node, value=1594","layer":2},{"info":"number node, value=6737","layer":2},{"info":"compute binary expreesion, left_input=1594, right_input=6737, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-20211","layer":1},{"info":"compute binary expreesion, left_input=10504692, right_input=-20211, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-168399346","layer":0}],"base":6,"result_base":6,"text":"↹⩛5145∋↹⩛35243⩺⪪↹⩛11214→⨶⪴↹⩛51105=↹⩛-24413214334","reverse_text":"↹⩛-24413214334=↹⩛5145∋↹⩛35243⩺⪪↹⩛11214→⨶⪴↹⩛51105","cot":[{"info":"↹⩛5145∋↹⩛35243=↹⩛1013052500","layer":1},{"info":"↹⩛11214→⨶⪴↹⩛51105=↹⩛-233323","layer":1},{"info":"↹⩛1013052500⩺⪪↹⩛-233323=↹⩛-24413214334","layer":0}]}
{"id":492,"expression_no_base_symbol":"$1003$⋹⋡⊁$4920$⫥∨⫟($7379$⫌⩉⩟$6056$)","expression":"↹⩛4351⋹⋡⊁↹⩛34440⫥∨⫟(↹⩛54055⫌⩉⩟↹⩛44012)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":95037,"operation_count":3,"complexity_ratio":31679.0,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1003,"base":6},"right_expr":{"type":"numeric_atoms","value":4920,"base":6}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":7379,"base":6},"right_expr":{"type":"numeric_atoms","value":6056,"base":6}}},"used_operators":["KYD54nUTWz","As8RqfVLgs","XIIwhv8d0m"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1003","layer":2},{"info":"number node, value=4920","layer":2},{"info":"compute binary expreesion, left_input=1003, right_input=4920, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=5670","layer":1},{"info":"number node, value=7379","layer":2},{"info":"number node, value=6056","layer":2},{"info":"compute binary expreesion, left_input=7379, right_input=6056, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute binary expreesion, left_input=5670, right_input=-50, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛4351⋹⋡⊁↹⩛34440⫥∨⫟(↹⩛54055⫌⩉⩟↹⩛44012)=NaN","reverse_text":"NaN=↹⩛4351⋹⋡⊁↹⩛34440⫥∨⫟(↹⩛54055⫌⩉⩟↹⩛44012)","cot":[{"info":"↹⩛4351⋹⋡⊁↹⩛34440=↹⩛42130","layer":1},{"info":"↹⩛54055⫌⩉⩟↹⩛44012=↹⩛-122","layer":1},{"info":"↹⩛42130⫥∨⫟↹⩛-122=NaN","layer":0}]}
{"id":493,"expression_no_base_symbol":"($2397$⩵∡$1308$)↳∿⪆($2529$⫒⫫$1085$)","expression":"(↹⩛15033⩵∡↹⩛10020)↳∿⪆(↹⩛15413⫒⫫↹⩛5005)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2355,"operation_count":3,"complexity_ratio":785.0,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2397,"base":6},"right_expr":{"type":"numeric_atoms","value":1308,"base":6}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2529,"base":6},"right_expr":{"type":"numeric_atoms","value":1085,"base":6}}},"used_operators":["Cw4SuJJGHO","Y7wcNGrDQJ","6Ko8hGgeMq"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2397","layer":2},{"info":"number node, value=1308","layer":2},{"info":"compute binary expreesion, left_input=2397, right_input=1308, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-3607","layer":1},{"info":"number node, value=2529","layer":2},{"info":"number node, value=1085","layer":2},{"info":"compute binary expreesion, left_input=2529, right_input=1085, 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=-3607, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛15033⩵∡↹⩛10020)↳∿⪆(↹⩛15413⫒⫫↹⩛5005)=NaN","reverse_text":"NaN=(↹⩛15033⩵∡↹⩛10020)↳∿⪆(↹⩛15413⫒⫫↹⩛5005)","cot":[{"info":"↹⩛15033⩵∡↹⩛10020=↹⩛-24411","layer":1},{"info":"↹⩛15413⫒⫫↹⩛5005=NaN","layer":1},{"info":"↹⩛-24411↳∿⪆NaN=NaN","layer":0}]}
{"id":494,"expression_no_base_symbol":"$6493$⨔⇊$2184$⪭($2988$≠≀$2220$)","expression":"↹⩛50021⨔⇊↹⩛14040⪭(↹⩛21500≠≀↹⩛14140)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":20,"operation_count":3,"complexity_ratio":6.666666666666667,"tree":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":6493,"base":6},"right_expr":{"type":"numeric_atoms","value":2184,"base":6}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2988,"base":6},"right_expr":{"type":"numeric_atoms","value":2220,"base":6}}},"used_operators":["j9kHMeSvPp","JclMnS0uGI","IwW236VD4Y"],"dependent_operators":["COABgblf1C","xUOZtlo3hN","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"↹⩛5","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6493","layer":2},{"info":"number node, value=2184","layer":2},{"info":"compute binary expreesion, left_input=6493, right_input=2184, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2184","layer":1},{"info":"number node, value=2988","layer":2},{"info":"number node, value=2220","layer":2},{"info":"compute binary expreesion, left_input=2988, right_input=2220, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-5670","layer":1},{"info":"compute binary expreesion, left_input=2184, right_input=-5670, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":0}],"base":6,"result_base":6,"text":"↹⩛50021⨔⇊↹⩛14040⪭(↹⩛21500≠≀↹⩛14140)=↹⩛5","reverse_text":"↹⩛5=↹⩛50021⨔⇊↹⩛14040⪭(↹⩛21500≠≀↹⩛14140)","cot":[{"info":"↹⩛50021⨔⇊↹⩛14040=↹⩛14040","layer":1},{"info":"↹⩛21500≠≀↹⩛14140=↹⩛-42130","layer":1},{"info":"↹⩛14040⪭↹⩛-42130=↹⩛5","layer":0}]}
{"id":495,"expression_no_base_symbol":"⇙⪊($1921$⊬⨰$1701$)","expression":"⇙⪊(↹⩛12521⊬⨰↹⩛11513)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15,"operation_count":2,"complexity_ratio":7.5,"tree":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1921,"base":6},"right_expr":{"type":"numeric_atoms","value":1701,"base":6}}},"used_operators":["pB6Fcnrjim","s3Fd5m9Dh2"],"dependent_operators":["DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1921","layer":2},{"info":"number node, value=1701","layer":2},{"info":"compute binary expreesion, left_input=1921, right_input=1701, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=7669","layer":1},{"info":"compute unary expreesion, input=7669, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"⇙⪊(↹⩛12521⊬⨰↹⩛11513)=↹⩛0","reverse_text":"↹⩛0=⇙⪊(↹⩛12521⊬⨰↹⩛11513)","cot":[{"info":"↹⩛12521⊬⨰↹⩛11513=↹⩛55301","layer":1},{"info":"⇙⪊↹⩛55301=↹⩛0","layer":0}]}
{"id":496,"expression_no_base_symbol":"⇐($6843$⪒⊣⊆$2489$)","expression":"⇐(↹⩛51403⪒⊣⊆↹⩛15305)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":47,"operation_count":2,"complexity_ratio":23.5,"tree":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":6843,"base":6},"right_expr":{"type":"numeric_atoms","value":2489,"base":6}}},"used_operators":["nmZMaaE0Q9","eRqsBgTDFp"],"dependent_operators":["23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","sdazOOVcIp","W4YGzv6Whe"],"result":"↹⩛204122","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6843","layer":2},{"info":"number node, value=2489","layer":2},{"info":"compute binary expreesion, left_input=6843, right_input=2489, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=13686","layer":1},{"info":"compute unary expreesion, input=13686, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=16466","layer":0}],"base":6,"result_base":6,"text":"⇐(↹⩛51403⪒⊣⊆↹⩛15305)=↹⩛204122","reverse_text":"↹⩛204122=⇐(↹⩛51403⪒⊣⊆↹⩛15305)","cot":[{"info":"↹⩛51403⪒⊣⊆↹⩛15305=↹⩛143210","layer":1},{"info":"⇐↹⩛143210=↹⩛204122","layer":0}]}
{"id":497,"expression_no_base_symbol":"$4479$⋾⨃∁$6085$+(⊲⪭$1704$)","expression":"↹⩛32423⋾⨃∁↹⩛44101+(⊲⪭↹⩛11520)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6118,"operation_count":3,"complexity_ratio":2039.3333333333333,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":4479,"base":6},"right_expr":{"type":"numeric_atoms","value":6085,"base":6}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":1704,"base":6}}},"used_operators":["W4YGzv6Whe","212REbPD9h","k7HXdKtiEU"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","i8ToyICDmI","xUOZtlo3hN"],"result":"↹⩛100422340110","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4479","layer":2},{"info":"number node, value=6085","layer":2},{"info":"compute binary expreesion, left_input=4479, right_input=6085, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=370199136","layer":1},{"info":"number node, value=1704","layer":2},{"info":"compute unary expreesion, input=1704, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-1878","layer":1},{"info":"compute binary expreesion, left_input=370199136, right_input=-1878, op_id = W4YGzv6Whe binary_op_definition= 'None', output=370197258","layer":0}],"base":6,"result_base":6,"text":"↹⩛32423⋾⨃∁↹⩛44101+(⊲⪭↹⩛11520)=↹⩛100422340110","reverse_text":"↹⩛100422340110=↹⩛32423⋾⨃∁↹⩛44101+(⊲⪭↹⩛11520)","cot":[{"info":"↹⩛32423⋾⨃∁↹⩛44101=↹⩛100422352520","layer":1},{"info":"⊲⪭↹⩛11520=↹⩛-12410","layer":1},{"info":"↹⩛100422352520+↹⩛-12410=↹⩛100422340110","layer":0}]}
{"id":498,"expression_no_base_symbol":"⊀(↨$1273$)","expression":"⊀(↨↹⩛5521)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":179,"operation_count":2,"complexity_ratio":89.5,"tree":{"type":"unary","operator":"⊀","unary_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":1273,"base":6}}},"used_operators":["oPMjh9089D","jiX4gk2v2Q"],"dependent_operators":["Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","rGHVDoGpnC","oZj3VtZNQx"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1273","layer":2},{"info":"compute unary expreesion, input=1273, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍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":6,"result_base":6,"text":"⊀(↨↹⩛5521)=NaN","reverse_text":"NaN=⊀(↨↹⩛5521)","cot":[{"info":"↨↹⩛5521=NaN","layer":1},{"info":"⊀NaN=NaN","layer":0}]}
{"id":499,"expression_no_base_symbol":"($8835$↸$1239$)≎⪠($1144$⪐)","expression":"(↹⩛104523↸↹⩛5423)≎⪠(↹⩛5144⪐)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":20349,"operation_count":3,"complexity_ratio":6783.0,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":8835,"base":6},"right_expr":{"type":"numeric_atoms","value":1239,"base":6}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1144,"base":6}}},"used_operators":["aNhz54LH3e","1eCjFl0mb9","eH2TOUuTDT"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛230314","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8835","layer":2},{"info":"number node, value=1239","layer":2},{"info":"compute binary expreesion, left_input=8835, right_input=1239, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=8835","layer":1},{"info":"number node, value=1144","layer":2},{"info":"compute unary expreesion, input=1144, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2288","layer":1},{"info":"compute binary expreesion, left_input=8835, right_input=2288, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":6,"result_base":6,"text":"(↹⩛104523↸↹⩛5423)≎⪠(↹⩛5144⪐)=↹⩛230314","reverse_text":"↹⩛230314=(↹⩛104523↸↹⩛5423)≎⪠(↹⩛5144⪐)","cot":[{"info":"↹⩛104523↸↹⩛5423=↹⩛104523","layer":1},{"info":"↹⩛5144⪐=↹⩛14332","layer":1},{"info":"↹⩛104523≎⪠↹⩛14332=↹⩛230314","layer":0}]}
{"id":500,"expression_no_base_symbol":"≅≯⇸$7594$⇮⋭$7092$","expression":"≅≯⇸↹⩛55054⇮⋭↹⩛52500","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":61,"operation_count":2,"complexity_ratio":30.5,"tree":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":7594,"base":6},"right_expr":{"type":"numeric_atoms","value":7092,"base":6}}},"used_operators":["apS25hmuAe","vkpjKywKVM"],"dependent_operators":["EBcxylXtPf","QMFrweE19q","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"↹⩛42441","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=7594","layer":2},{"info":"number node, value=7092","layer":2},{"info":"compute binary expreesion, left_input=7594, right_input=7092, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":1},{"info":"compute unary expreesion, input=-473, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=5785","layer":0}],"base":6,"result_base":6,"text":"≅≯⇸↹⩛55054⇮⋭↹⩛52500=↹⩛42441","reverse_text":"↹⩛42441=≅≯⇸↹⩛55054⇮⋭↹⩛52500","cot":[{"info":"↹⩛55054⇮⋭↹⩛52500=↹⩛-2105","layer":1},{"info":"≅≯⇸↹⩛-2105=↹⩛42441","layer":0}]}
{"id":501,"expression_no_base_symbol":"(↔$1071$)⪎↠$2773$↢$2507$","expression":"(↔↹⩛4543)⪎↠↹⩛20501↢↹⩛15335","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":24,"operation_count":3,"complexity_ratio":8.0,"tree":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1071,"base":6}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":2773,"base":6},"right_expr":{"type":"numeric_atoms","value":2507,"base":6}}},"used_operators":["3tVxb0NHM4","ruOEQAzv1W","WR6HLWljOP"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"↹⩛-131","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1071","layer":2},{"info":"compute unary expreesion, input=1071, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-798","layer":1},{"info":"number node, value=2773","layer":2},{"info":"number node, value=2507","layer":2},{"info":"compute binary expreesion, left_input=2773, right_input=2507, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2289","layer":1},{"info":"compute binary expreesion, left_input=-798, right_input=2289, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":0}],"base":6,"result_base":6,"text":"(↔↹⩛4543)⪎↠↹⩛20501↢↹⩛15335=↹⩛-131","reverse_text":"↹⩛-131=(↔↹⩛4543)⪎↠↹⩛20501↢↹⩛15335","cot":[{"info":"↔↹⩛4543=↹⩛-3410","layer":1},{"info":"↹⩛20501↢↹⩛15335=↹⩛14333","layer":1},{"info":"↹⩛-3410⪎↠↹⩛14333=↹⩛-131","layer":0}]}
{"id":502,"expression_no_base_symbol":"(⨈⪑$1048$)⋳⪒($3824$⨵⪆$4759$)","expression":"(⨈⪑↹⩛4504)⋳⪒(↹⩛25412⨵⪆↹⩛34011)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":88,"operation_count":3,"complexity_ratio":29.333333333333332,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":1048,"base":6}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3824,"base":6},"right_expr":{"type":"numeric_atoms","value":4759,"base":6}}},"used_operators":["12rbrZMWeM","mp94q5OcYM","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛5545","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1048","layer":2},{"info":"compute unary expreesion, input=1048, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":1},{"info":"number node, value=3824","layer":2},{"info":"number node, value=4759","layer":2},{"info":"compute binary expreesion, left_input=3824, right_input=4759, 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=868, right_input=160, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1289","layer":0}],"base":6,"result_base":6,"text":"(⨈⪑↹⩛4504)⋳⪒(↹⩛25412⨵⪆↹⩛34011)=↹⩛5545","reverse_text":"↹⩛5545=(⨈⪑↹⩛4504)⋳⪒(↹⩛25412⨵⪆↹⩛34011)","cot":[{"info":"⨈⪑↹⩛4504=↹⩛4004","layer":1},{"info":"↹⩛25412⨵⪆↹⩛34011=↹⩛424","layer":1},{"info":"↹⩛4004⋳⪒↹⩛424=↹⩛5545","layer":0}]}
{"id":503,"expression_no_base_symbol":"$1183$≝⊿$3714$⋳⪒$1355$⋛$1340$","expression":"↹⩛5251≝⊿↹⩛25110⋳⪒↹⩛10135⋛↹⩛10112","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":285,"operation_count":3,"complexity_ratio":95.0,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1183,"base":6},"right_expr":{"type":"numeric_atoms","value":3714,"base":6}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1355,"base":6},"right_expr":{"type":"numeric_atoms","value":1340,"base":6}}},"used_operators":["12rbrZMWeM","OKKcZfAt5B","YbUVn0Rbpy"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","12rbrZMWeM","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"↹⩛2101314","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1183","layer":2},{"info":"number node, value=3714","layer":2},{"info":"compute binary expreesion, left_input=1183, right_input=3714, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-9144","layer":1},{"info":"number node, value=1355","layer":2},{"info":"number node, value=1340","layer":2},{"info":"compute binary expreesion, left_input=1355, right_input=1340, 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=-119997","layer":1},{"info":"compute binary expreesion, left_input=-9144, right_input=-119997, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=101422","layer":0}],"base":6,"result_base":6,"text":"↹⩛5251≝⊿↹⩛25110⋳⪒↹⩛10135⋛↹⩛10112=↹⩛2101314","reverse_text":"↹⩛2101314=↹⩛5251≝⊿↹⩛25110⋳⪒↹⩛10135⋛↹⩛10112","cot":[{"info":"↹⩛5251≝⊿↹⩛25110=↹⩛-110200","layer":1},{"info":"↹⩛10135⋛↹⩛10112=↹⩛-2323313","layer":1},{"info":"↹⩛-110200⋳⪒↹⩛-2323313=↹⩛2101314","layer":0}]}
{"id":504,"expression_no_base_symbol":"($6406$⋳⪒$1034$)⪭($2144$⪄$6412$)","expression":"(↹⩛45354⋳⪒↹⩛4442)⪭(↹⩛13532⪄↹⩛45404)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":108,"operation_count":3,"complexity_ratio":36.0,"tree":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6406,"base":6},"right_expr":{"type":"numeric_atoms","value":1034,"base":6}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2144,"base":6},"right_expr":{"type":"numeric_atoms","value":6412,"base":6}}},"used_operators":["j9kHMeSvPp","12rbrZMWeM","SUmda5xLS4"],"dependent_operators":["COABgblf1C","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"↹⩛5","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6406","layer":2},{"info":"number node, value=1034","layer":2},{"info":"compute binary expreesion, left_input=6406, right_input=1034, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=11491","layer":1},{"info":"number node, value=2144","layer":2},{"info":"number node, value=6412","layer":2},{"info":"compute binary expreesion, left_input=2144, right_input=6412, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-339049","layer":1},{"info":"compute binary expreesion, left_input=11491, right_input=-339049, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":0}],"base":6,"result_base":6,"text":"(↹⩛45354⋳⪒↹⩛4442)⪭(↹⩛13532⪄↹⩛45404)=↹⩛5","reverse_text":"↹⩛5=(↹⩛45354⋳⪒↹⩛4442)⪭(↹⩛13532⪄↹⩛45404)","cot":[{"info":"↹⩛45354⋳⪒↹⩛4442=↹⩛125111","layer":1},{"info":"↹⩛13532⪄↹⩛45404=↹⩛-11133401","layer":1},{"info":"↹⩛125111⪭↹⩛-11133401=↹⩛5","layer":0}]}
{"id":505,"expression_no_base_symbol":"($6340$⨪↰⇹$4156$)⨟⋌⩍(⇺⋃$3444$)","expression":"(↹⩛45204⨪↰⇹↹⩛31124)⨟⋌⩍(⇺⋃↹⩛23540)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6396,"operation_count":3,"complexity_ratio":2132.0,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6340,"base":6},"right_expr":{"type":"numeric_atoms","value":4156,"base":6}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":3444,"base":6}}},"used_operators":["rGHVDoGpnC","tmPS8pqC7x","E5v5B3UAjG"],"dependent_operators":["Tcnh7f0tEr","rJVOvQCfKK","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=6340","layer":2},{"info":"number node, value=4156","layer":2},{"info":"compute binary expreesion, left_input=6340, right_input=4156, 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=6340","layer":1},{"info":"number node, value=3444","layer":2},{"info":"compute unary expreesion, input=3444, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=6340, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛45204⨪↰⇹↹⩛31124)⨟⋌⩍(⇺⋃↹⩛23540)=NaN","reverse_text":"NaN=(↹⩛45204⨪↰⇹↹⩛31124)⨟⋌⩍(⇺⋃↹⩛23540)","cot":[{"info":"↹⩛45204⨪↰⇹↹⩛31124=↹⩛45204","layer":1},{"info":"⇺⋃↹⩛23540=NaN","layer":1},{"info":"↹⩛45204⨟⋌⩍NaN=NaN","layer":0}]}
{"id":506,"expression_no_base_symbol":"⪲⇎$3649$⋝⋈⪟$1922$","expression":"⪲⇎↹⩛24521⋝⋈⪟↹⩛12522","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3649,"base":6},"right_expr":{"type":"numeric_atoms","value":1922,"base":6}}},"used_operators":["XPYlsWDdGa","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛53442","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3649","layer":2},{"info":"number node, value=1922","layer":2},{"info":"compute binary expreesion, left_input=3649, right_input=1922, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3649","layer":1},{"info":"compute unary expreesion, input=3649, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7298","layer":0}],"base":6,"result_base":6,"text":"⪲⇎↹⩛24521⋝⋈⪟↹⩛12522=↹⩛53442","reverse_text":"↹⩛53442=⪲⇎↹⩛24521⋝⋈⪟↹⩛12522","cot":[{"info":"↹⩛24521⋝⋈⪟↹⩛12522=↹⩛24521","layer":1},{"info":"⪲⇎↹⩛24521=↹⩛53442","layer":0}]}
{"id":507,"expression_no_base_symbol":"($1108$⊝⪿⪼$2222$)∇⊂⋱(⊤⊝$1001$)","expression":"(↹⩛5044⊝⪿⪼↹⩛14142)∇⊂⋱(⊤⊝↹⩛4345)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":40,"operation_count":3,"complexity_ratio":13.333333333333334,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1108,"base":6},"right_expr":{"type":"numeric_atoms","value":2222,"base":6}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1001,"base":6}}},"used_operators":["nhYeJWJD5X","3Oe9XWJUTD","rXAclfmB4M"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","sdazOOVcIp"],"result":"↹⩛1043154","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1108","layer":2},{"info":"number node, value=2222","layer":2},{"info":"compute binary expreesion, left_input=1108, right_input=2222, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=26552","layer":1},{"info":"number node, value=1001","layer":2},{"info":"compute unary expreesion, input=1001, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=704","layer":1},{"info":"compute binary expreesion, left_input=26552, right_input=704, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=52558","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5044⊝⪿⪼↹⩛14142)∇⊂⋱(⊤⊝↹⩛4345)=↹⩛1043154","reverse_text":"↹⩛1043154=(↹⩛5044⊝⪿⪼↹⩛14142)∇⊂⋱(⊤⊝↹⩛4345)","cot":[{"info":"↹⩛5044⊝⪿⪼↹⩛14142=↹⩛322532","layer":1},{"info":"⊤⊝↹⩛4345=↹⩛3132","layer":1},{"info":"↹⩛322532∇⊂⋱↹⩛3132=↹⩛1043154","layer":0}]}
{"id":508,"expression_no_base_symbol":"(⇋↷$1550$)⊉↱≁($1558$⪚$2868$)","expression":"(⇋↷↹⩛11102)⊉↱≁(↹⩛11114⪚↹⩛21140)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":54,"operation_count":3,"complexity_ratio":18.0,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":1550,"base":6}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1558,"base":6},"right_expr":{"type":"numeric_atoms","value":2868,"base":6}}},"used_operators":["w2P8NbNXyL","SWo3A1KBJH","HrjLwUk87U"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"↹⩛3012300","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1550","layer":2},{"info":"compute unary expreesion, input=1550, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=12400","layer":1},{"info":"number node, value=1558","layer":2},{"info":"number node, value=2868","layer":2},{"info":"compute binary expreesion, left_input=1558, right_input=2868, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-2976","layer":1},{"info":"compute binary expreesion, left_input=12400, right_input=-2976, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=141804","layer":0}],"base":6,"result_base":6,"text":"(⇋↷↹⩛11102)⊉↱≁(↹⩛11114⪚↹⩛21140)=↹⩛3012300","reverse_text":"↹⩛3012300=(⇋↷↹⩛11102)⊉↱≁(↹⩛11114⪚↹⩛21140)","cot":[{"info":"⇋↷↹⩛11102=↹⩛133224","layer":1},{"info":"↹⩛11114⪚↹⩛21140=↹⩛-21440","layer":1},{"info":"↹⩛133224⊉↱≁↹⩛-21440=↹⩛3012300","layer":0}]}
{"id":509,"expression_no_base_symbol":"$1876$⊱⇼⊻$1449$⫢⨠(≑⋹$3036$)","expression":"↹⩛12404⊱⇼⊻↹⩛10413⫢⨠(≑⋹↹⩛22020)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":175,"operation_count":3,"complexity_ratio":58.333333333333336,"tree":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1876,"base":6},"right_expr":{"type":"numeric_atoms","value":1449,"base":6}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":3036,"base":6}}},"used_operators":["xlXykHWxX1","FyVja0WsTP","6B9nyZLogK"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1876","layer":2},{"info":"number node, value=1449","layer":2},{"info":"compute binary expreesion, left_input=1876, right_input=1449, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":1},{"info":"number node, value=3036","layer":2},{"info":"compute unary expreesion, input=3036, 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=434, right_input=1650, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":0}],"base":6,"result_base":6,"text":"↹⩛12404⊱⇼⊻↹⩛10413⫢⨠(≑⋹↹⩛22020)=↹⩛424","reverse_text":"↹⩛424=↹⩛12404⊱⇼⊻↹⩛10413⫢⨠(≑⋹↹⩛22020)","cot":[{"info":"↹⩛12404⊱⇼⊻↹⩛10413=↹⩛2002","layer":1},{"info":"≑⋹↹⩛22020=↹⩛11350","layer":1},{"info":"↹⩛2002⫢⨠↹⩛11350=↹⩛424","layer":0}]}
{"id":510,"expression_no_base_symbol":"⇖(⨆≐≲$2348$)","expression":"⇖(⨆≐≲↹⩛14512)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":117,"operation_count":2,"complexity_ratio":58.5,"tree":{"type":"unary","operator":"⇖","unary_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":2348,"base":6}}},"used_operators":["tfWHHpNKUN","Bi9z9uYZqW"],"dependent_operators":["2DQ55sFlQl","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2348","layer":2},{"info":"compute unary expreesion, input=2348, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=25363032","layer":1},{"info":"compute unary expreesion, input=25363032, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":0}],"base":6,"result_base":6,"text":"⇖(⨆≐≲↹⩛14512)=↹⩛424","reverse_text":"↹⩛424=⇖(⨆≐≲↹⩛14512)","cot":[{"info":"⨆≐≲↹⩛14512=↹⩛2303341240","layer":1},{"info":"⇖↹⩛2303341240=↹⩛424","layer":0}]}
{"id":511,"expression_no_base_symbol":"$2595$∴$1578$≧⫂∧($7756$⨀⨒)","expression":"↹⩛20003∴↹⩛11150≧⫂∧(↹⩛55524⨀⨒)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":57,"operation_count":3,"complexity_ratio":19.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":2595,"base":6},"right_expr":{"type":"numeric_atoms","value":1578,"base":6}},"right_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":7756,"base":6}}},"used_operators":["Ph9nP6C5qx","hrf7POJlIJ","j6NVkjMzuk"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X"],"result":"↹⩛2125215","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2595","layer":2},{"info":"number node, value=1578","layer":2},{"info":"compute binary expreesion, left_input=2595, right_input=1578, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=6838","layer":1},{"info":"number node, value=7756","layer":2},{"info":"compute unary expreesion, input=7756, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=105316","layer":1},{"info":"compute binary expreesion, left_input=6838, right_input=105316, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=104843","layer":0}],"base":6,"result_base":6,"text":"↹⩛20003∴↹⩛11150≧⫂∧(↹⩛55524⨀⨒)=↹⩛2125215","reverse_text":"↹⩛2125215=↹⩛20003∴↹⩛11150≧⫂∧(↹⩛55524⨀⨒)","cot":[{"info":"↹⩛20003∴↹⩛11150=↹⩛51354","layer":1},{"info":"↹⩛55524⨀⨒=↹⩛2131324","layer":1},{"info":"↹⩛51354≧⫂∧↹⩛2131324=↹⩛2125215","layer":0}]}
{"id":512,"expression_no_base_symbol":"$2012$⇡⇂$7068$⫣⪄⊒($2310$⋅⇍$1112$)","expression":"↹⩛13152⇡⇂↹⩛52420⫣⪄⊒(↹⩛14410⋅⇍↹⩛5052)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":37200,"operation_count":3,"complexity_ratio":12400.0,"tree":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":2012,"base":6},"right_expr":{"type":"numeric_atoms","value":7068,"base":6}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2310,"base":6},"right_expr":{"type":"numeric_atoms","value":1112,"base":6}}},"used_operators":["RabNbG55vr","UMwdvZNt44","AdZkA7nFnk"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2012","layer":2},{"info":"number node, value=7068","layer":2},{"info":"compute binary expreesion, left_input=2012, right_input=7068, 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=2310","layer":2},{"info":"number node, value=1112","layer":2},{"info":"compute binary expreesion, left_input=2310, right_input=1112, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = 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":6,"result_base":6,"text":"↹⩛13152⇡⇂↹⩛52420⫣⪄⊒(↹⩛14410⋅⇍↹⩛5052)=↹⩛424","reverse_text":"↹⩛424=↹⩛13152⇡⇂↹⩛52420⫣⪄⊒(↹⩛14410⋅⇍↹⩛5052)","cot":[{"info":"↹⩛13152⇡⇂↹⩛52420=NaN","layer":1},{"info":"↹⩛14410⋅⇍↹⩛5052=↹⩛-34","layer":1},{"info":"NaN⫣⪄⊒↹⩛-34=↹⩛424","layer":0}]}
{"id":513,"expression_no_base_symbol":"∥⊫($1091$⪒$1068$)","expression":"∥⊫(↹⩛5015⪒↹⩛4540)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1091,"base":6},"right_expr":{"type":"numeric_atoms","value":1068,"base":6}}},"used_operators":["P8v4zCKN1o","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛-131","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1091","layer":2},{"info":"number node, value=1068","layer":2},{"info":"compute binary expreesion, left_input=1091, right_input=1068, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2159","layer":1},{"info":"compute unary expreesion, input=-2159, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":0}],"base":6,"result_base":6,"text":"∥⊫(↹⩛5015⪒↹⩛4540)=↹⩛-131","reverse_text":"↹⩛-131=∥⊫(↹⩛5015⪒↹⩛4540)","cot":[{"info":"↹⩛5015⪒↹⩛4540=↹⩛-13555","layer":1},{"info":"∥⊫↹⩛-13555=↹⩛-131","layer":0}]}
{"id":514,"expression_no_base_symbol":"(⨦⪝$5073$)≀⩗∶(≯$1528$)","expression":"(⨦⪝↹⩛35253)≀⩗∶(≯↹⩛11024)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":53,"operation_count":3,"complexity_ratio":17.666666666666668,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":5073,"base":6}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":1528,"base":6}}},"used_operators":["8INZBEW696","SUjycxNXIR","keWfFq85dY"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","g55IO6H4Gj","JLbD19bQDL"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5073","layer":2},{"info":"compute unary expreesion, input=5073, 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=1528","layer":2},{"info":"compute unary expreesion, input=1528, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-1884, right_input=0, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"(⨦⪝↹⩛35253)≀⩗∶(≯↹⩛11024)=↹⩛0","reverse_text":"↹⩛0=(⨦⪝↹⩛35253)≀⩗∶(≯↹⩛11024)","cot":[{"info":"⨦⪝↹⩛35253=↹⩛-12420","layer":1},{"info":"≯↹⩛11024=↹⩛0","layer":1},{"info":"↹⩛-12420≀⩗∶↹⩛0=↹⩛0","layer":0}]}
{"id":515,"expression_no_base_symbol":"⨮↦↱($2662$⋓$1387$)","expression":"⨮↦↱(↹⩛20154⋓↹⩛10231)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":533,"operation_count":2,"complexity_ratio":266.5,"tree":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2662,"base":6},"right_expr":{"type":"numeric_atoms","value":1387,"base":6}}},"used_operators":["sYcpBQ0cFf","T2fj7uvVaJ"],"dependent_operators":["OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"↹⩛-23023430","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2662","layer":2},{"info":"number node, value=1387","layer":2},{"info":"compute binary expreesion, left_input=2662, right_input=1387, 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 = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-703242","layer":0}],"base":6,"result_base":6,"text":"⨮↦↱(↹⩛20154⋓↹⩛10231)=↹⩛-23023430","reverse_text":"↹⩛-23023430=⨮↦↱(↹⩛20154⋓↹⩛10231)","cot":[{"info":"↹⩛20154⋓↹⩛10231=↹⩛0","layer":1},{"info":"⨮↦↱↹⩛0=↹⩛-23023430","layer":0}]}
{"id":516,"expression_no_base_symbol":"$2448$∠⫱$1432$⋷(⊥$1172$)","expression":"↹⩛15200∠⫱↹⩛10344⋷(⊥↹⩛5232)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2448,"base":6},"right_expr":{"type":"numeric_atoms","value":1432,"base":6}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1172,"base":6}}},"used_operators":["23Mk6UjR3U","QvoQhV0rrE","Q3PJZHRvZv"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2448","layer":2},{"info":"number node, value=1432","layer":2},{"info":"compute binary expreesion, left_input=2448, right_input=1432, 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=1172","layer":2},{"info":"compute unary expreesion, input=1172, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1234, 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":6,"result_base":6,"text":"↹⩛15200∠⫱↹⩛10344⋷(⊥↹⩛5232)=NaN","reverse_text":"NaN=↹⩛15200∠⫱↹⩛10344⋷(⊥↹⩛5232)","cot":[{"info":"↹⩛15200∠⫱↹⩛10344=↹⩛5414","layer":1},{"info":"⊥↹⩛5232=NaN","layer":1},{"info":"↹⩛5414⋷NaN=NaN","layer":0}]}
{"id":517,"expression_no_base_symbol":"($5428$⫒⫫$1459$)⊕∕($8477$⨳⩥⨓$1386$)","expression":"(↹⩛41044⫒⫫↹⩛10431)⊕∕(↹⩛103125⨳⩥⨓↹⩛10230)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":5428,"base":6},"right_expr":{"type":"numeric_atoms","value":1459,"base":6}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":8477,"base":6},"right_expr":{"type":"numeric_atoms","value":1386,"base":6}}},"used_operators":["9cloC0Ngie","6Ko8hGgeMq","nCS4ZIUYfx"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5428","layer":2},{"info":"number node, value=1459","layer":2},{"info":"compute binary expreesion, left_input=5428, right_input=1459, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"number node, value=8477","layer":2},{"info":"number node, value=1386","layer":2},{"info":"compute binary expreesion, left_input=8477, right_input=1386, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-7091","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-7091, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛41044⫒⫫↹⩛10431)⊕∕(↹⩛103125⨳⩥⨓↹⩛10230)=NaN","reverse_text":"NaN=(↹⩛41044⫒⫫↹⩛10431)⊕∕(↹⩛103125⨳⩥⨓↹⩛10230)","cot":[{"info":"↹⩛41044⫒⫫↹⩛10431=NaN","layer":1},{"info":"↹⩛103125⨳⩥⨓↹⩛10230=↹⩛-52455","layer":1},{"info":"NaN⊕∕↹⩛-52455=NaN","layer":0}]}
{"id":518,"expression_no_base_symbol":"≯($4300$⊉≛↸$1104$)","expression":"≯(↹⩛31524⊉≛↸↹⩛5040)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":2,"complexity_ratio":5.5,"tree":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4300,"base":6},"right_expr":{"type":"numeric_atoms","value":1104,"base":6}}},"used_operators":["keWfFq85dY","DZ8iAZOCBD"],"dependent_operators":["g55IO6H4Gj","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4300","layer":2},{"info":"number node, value=1104","layer":2},{"info":"compute binary expreesion, left_input=4300, right_input=1104, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8600","layer":1},{"info":"compute unary expreesion, input=8600, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":0}],"base":6,"result_base":6,"text":"≯(↹⩛31524⊉≛↸↹⩛5040)=↹⩛0","reverse_text":"↹⩛0=≯(↹⩛31524⊉≛↸↹⩛5040)","cot":[{"info":"↹⩛31524⊉≛↸↹⩛5040=↹⩛103452","layer":1},{"info":"≯↹⩛103452=↹⩛0","layer":0}]}
{"id":519,"expression_no_base_symbol":"↡($2058$⩘$1338$)","expression":"↡(↹⩛13310⩘↹⩛10110)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":114,"operation_count":2,"complexity_ratio":57.0,"tree":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2058,"base":6},"right_expr":{"type":"numeric_atoms","value":1338,"base":6}}},"used_operators":["MXaNJeIAZ3","cHh1gJQ2o6"],"dependent_operators":["DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"↹⩛10400","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2058","layer":2},{"info":"number node, value=1338","layer":2},{"info":"compute binary expreesion, left_input=2058, right_input=1338, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=1440","layer":0}],"base":6,"result_base":6,"text":"↡(↹⩛13310⩘↹⩛10110)=↹⩛10400","reverse_text":"↹⩛10400=↡(↹⩛13310⩘↹⩛10110)","cot":[{"info":"↹⩛13310⩘↹⩛10110=↹⩛424","layer":1},{"info":"↡↹⩛424=↹⩛10400","layer":0}]}
{"id":520,"expression_no_base_symbol":"($6226$⫚↹⊑$1582$)∷$1850$∣$3057$","expression":"(↹⩛44454⫚↹⊑↹⩛11154)∷↹⩛12322∣↹⩛22053","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":18,"operation_count":3,"complexity_ratio":6.0,"tree":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":6226,"base":6},"right_expr":{"type":"numeric_atoms","value":1582,"base":6}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1850,"base":6},"right_expr":{"type":"numeric_atoms","value":3057,"base":6}}},"used_operators":["D3AQDKkPcf","dfKe02y8D2","PPChnnnBFF"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"↹⩛12322","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=6226","layer":2},{"info":"number node, value=1582","layer":2},{"info":"compute binary expreesion, left_input=6226, right_input=1582, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"number node, value=1850","layer":2},{"info":"number node, value=3057","layer":2},{"info":"compute binary expreesion, left_input=1850, right_input=3057, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1850","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=1850, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1850","layer":0}],"base":6,"result_base":6,"text":"(↹⩛44454⫚↹⊑↹⩛11154)∷↹⩛12322∣↹⩛22053=↹⩛12322","reverse_text":"↹⩛12322=(↹⩛44454⫚↹⊑↹⩛11154)∷↹⩛12322∣↹⩛22053","cot":[{"info":"↹⩛44454⫚↹⊑↹⩛11154=↹⩛-2023","layer":1},{"info":"↹⩛12322∣↹⩛22053=↹⩛12322","layer":1},{"info":"↹⩛-2023∷↹⩛12322=↹⩛12322","layer":0}]}
{"id":521,"expression_no_base_symbol":"$5806$⫥∨⫟$6291$⇆⨓≜","expression":"↹⩛42514⫥∨⫟↹⩛45043⇆⨓≜","highest_n_order":5,"priority_hierarchical_complexity":1,"normalized_expansion_degree":309,"operation_count":2,"complexity_ratio":154.5,"tree":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5806,"base":6},"right_expr":{"type":"numeric_atoms","value":6291,"base":6}}},"used_operators":["KvvgdUaMHJ","KYD54nUTWz"],"dependent_operators":["Uaa54Peajs","KYD54nUTWz","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5806","layer":2},{"info":"number node, value=6291","layer":2},{"info":"compute binary expreesion, left_input=5806, right_input=6291, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛42514⫥∨⫟↹⩛45043⇆⨓≜=NaN","reverse_text":"NaN=↹⩛42514⫥∨⫟↹⩛45043⇆⨓≜","cot":[{"info":"↹⩛42514⫥∨⫟↹⩛45043=NaN","layer":1},{"info":"NaN⇆⨓≜=NaN","layer":0}]}
{"id":522,"expression_no_base_symbol":"($6013$⫁⪎$1259$)↹⊜($2955$≃$7199$)","expression":"(↹⩛43501⫁⪎↹⩛5455)↹⊜(↹⩛21403≃↹⩛53155)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":51,"operation_count":3,"complexity_ratio":17.0,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":6013,"base":6},"right_expr":{"type":"numeric_atoms","value":1259,"base":6}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2955,"base":6},"right_expr":{"type":"numeric_atoms","value":7199,"base":6}}},"used_operators":["9bazX3JMtO","xRrnTEsQ6j","YbVcJGFEVW"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"↹⩛1115112","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6013","layer":2},{"info":"number node, value=1259","layer":2},{"info":"compute binary expreesion, left_input=6013, right_input=1259, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=4754","layer":1},{"info":"number node, value=2955","layer":2},{"info":"number node, value=7199","layer":2},{"info":"compute binary expreesion, left_input=2955, right_input=7199, 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=-11860","layer":1},{"info":"compute binary expreesion, left_input=4754, right_input=-11860, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=56852","layer":0}],"base":6,"result_base":6,"text":"(↹⩛43501⫁⪎↹⩛5455)↹⊜(↹⩛21403≃↹⩛53155)=↹⩛1115112","reverse_text":"↹⩛1115112=(↹⩛43501⫁⪎↹⩛5455)↹⊜(↹⩛21403≃↹⩛53155)","cot":[{"info":"↹⩛43501⫁⪎↹⩛5455=↹⩛34002","layer":1},{"info":"↹⩛21403≃↹⩛53155=↹⩛-130524","layer":1},{"info":"↹⩛34002↹⊜↹⩛-130524=↹⩛1115112","layer":0}]}
{"id":523,"expression_no_base_symbol":"($6301$⨔≚≋$6981$)≚⋢","expression":"(↹⩛45101⨔≚≋↹⩛52153)≚⋢","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":142,"operation_count":2,"complexity_ratio":71.0,"tree":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":6301,"base":6},"right_expr":{"type":"numeric_atoms","value":6981,"base":6}}},"used_operators":["MahUMFw56D","Z57zeUYC9z"],"dependent_operators":["3ViojmjbAp","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"↹⩛-225","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6301","layer":2},{"info":"number node, value=6981","layer":2},{"info":"compute binary expreesion, left_input=6301, right_input=6981, 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 = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":0}],"base":6,"result_base":6,"text":"(↹⩛45101⨔≚≋↹⩛52153)≚⋢=↹⩛-225","reverse_text":"↹⩛-225=(↹⩛45101⨔≚≋↹⩛52153)≚⋢","cot":[{"info":"↹⩛45101⨔≚≋↹⩛52153=↹⩛113412","layer":1},{"info":"↹⩛113412≚⋢=↹⩛-225","layer":0}]}
{"id":524,"expression_no_base_symbol":"↸⊣($3271$⨀⨒)","expression":"↸⊣(↹⩛23051⨀⨒)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":61,"operation_count":2,"complexity_ratio":30.5,"tree":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":3271,"base":6}}},"used_operators":["wztAlM01eG","j6NVkjMzuk"],"dependent_operators":["N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X"],"result":"↹⩛-523315","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3271","layer":2},{"info":"compute unary expreesion, input=3271, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=42526","layer":1},{"info":"compute unary expreesion, input=42526, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-42239","layer":0}],"base":6,"result_base":6,"text":"↸⊣(↹⩛23051⨀⨒)=↹⩛-523315","reverse_text":"↹⩛-523315=↸⊣(↹⩛23051⨀⨒)","cot":[{"info":"↹⩛23051⨀⨒=↹⩛524514","layer":1},{"info":"↸⊣↹⩛524514=↹⩛-523315","layer":0}]}
{"id":525,"expression_no_base_symbol":"(≉$2672$)⨭⪣$5922$⩣⫁∢$3753$","expression":"(≉↹⩛20212)⨭⪣↹⩛43230⩣⫁∢↹⩛25213","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":54,"operation_count":3,"complexity_ratio":18.0,"tree":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2672,"base":6}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":5922,"base":6},"right_expr":{"type":"numeric_atoms","value":3753,"base":6}}},"used_operators":["kn8WO9XteQ","e1ybzncUwg","JDUIKTTSIa"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"↹⩛12524","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2672","layer":2},{"info":"compute unary expreesion, input=2672, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3203","layer":1},{"info":"number node, value=5922","layer":2},{"info":"number node, value=3753","layer":2},{"info":"compute binary expreesion, left_input=5922, right_input=3753, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-11683","layer":1},{"info":"compute binary expreesion, left_input=3203, right_input=-11683, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1924","layer":0}],"base":6,"result_base":6,"text":"(≉↹⩛20212)⨭⪣↹⩛43230⩣⫁∢↹⩛25213=↹⩛12524","reverse_text":"↹⩛12524=(≉↹⩛20212)⨭⪣↹⩛43230⩣⫁∢↹⩛25213","cot":[{"info":"≉↹⩛20212=↹⩛22455","layer":1},{"info":"↹⩛43230⩣⫁∢↹⩛25213=↹⩛-130031","layer":1},{"info":"↹⩛22455⨭⪣↹⩛-130031=↹⩛12524","layer":0}]}
{"id":526,"expression_no_base_symbol":"($6820$∧)⪚(⫇$1743$)","expression":"(↹⩛51324∧)⪚(⫇↹⩛12023)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":42,"operation_count":3,"complexity_ratio":14.0,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":6820,"base":6}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":1743,"base":6}}},"used_operators":["HrjLwUk87U","z63VuFQld9","YjI8oCXuph"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6820","layer":2},{"info":"compute unary expreesion, input=6820, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"number node, value=1743","layer":2},{"info":"compute unary expreesion, input=1743, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-2272","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2272, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛51324∧)⪚(⫇↹⩛12023)=NaN","reverse_text":"NaN=(↹⩛51324∧)⪚(⫇↹⩛12023)","cot":[{"info":"↹⩛51324∧=NaN","layer":1},{"info":"⫇↹⩛12023=↹⩛-14304","layer":1},{"info":"NaN⪚↹⩛-14304=NaN","layer":0}]}
{"id":527,"expression_no_base_symbol":"$1649$+⇶⊼$2797$⊦⊿","expression":"↹⩛11345+⇶⊼↹⩛20541⊦⊿","highest_n_order":5,"priority_hierarchical_complexity":1,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1649,"base":6},"right_expr":{"type":"numeric_atoms","value":2797,"base":6}}},"used_operators":["14qkJME0vr","TpPTUOHfaN"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1649","layer":2},{"info":"number node, value=2797","layer":2},{"info":"compute binary expreesion, left_input=1649, right_input=2797, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛11345+⇶⊼↹⩛20541⊦⊿=NaN","reverse_text":"NaN=↹⩛11345+⇶⊼↹⩛20541⊦⊿","cot":[{"info":"↹⩛11345+⇶⊼↹⩛20541=NaN","layer":1},{"info":"NaN⊦⊿=NaN","layer":0}]}
{"id":528,"expression_no_base_symbol":"$4872$∴$2171$⪘⫢(⨴⫝$2634$)","expression":"↹⩛34320∴↹⩛14015⪘⫢(⨴⫝↹⩛20110)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1843,"operation_count":3,"complexity_ratio":614.3333333333334,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":4872,"base":6},"right_expr":{"type":"numeric_atoms","value":2171,"base":6}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":2634,"base":6}}},"used_operators":["oacrs7FA3X","hrf7POJlIJ","SVb2v531z1"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf"],"result":"↹⩛252524","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4872","layer":2},{"info":"number node, value=2171","layer":2},{"info":"compute binary expreesion, left_input=4872, right_input=2171, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=11392","layer":1},{"info":"number node, value=2634","layer":2},{"info":"compute unary expreesion, input=2634, 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 binary expreesion, left_input=11392, right_input=2828198, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=22660","layer":0}],"base":6,"result_base":6,"text":"↹⩛34320∴↹⩛14015⪘⫢(⨴⫝↹⩛20110)=↹⩛252524","reverse_text":"↹⩛252524=↹⩛34320∴↹⩛14015⪘⫢(⨴⫝↹⩛20110)","cot":[{"info":"↹⩛34320∴↹⩛14015=↹⩛124424","layer":1},{"info":"⨴⫝↹⩛20110=↹⩛140341302","layer":1},{"info":"↹⩛124424⪘⫢↹⩛140341302=↹⩛252524","layer":0}]}
{"id":529,"expression_no_base_symbol":"∂⩏⊆(⇺⋃$1553$)","expression":"∂⩏⊆(⇺⋃↹⩛11105)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":61,"operation_count":2,"complexity_ratio":30.5,"tree":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":1553,"base":6}}},"used_operators":["8WDwsbhb0R","E5v5B3UAjG"],"dependent_operators":["14qkJME0vr","eLAdDNolq6","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1553","layer":2},{"info":"compute unary expreesion, input=1553, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"∂⩏⊆(⇺⋃↹⩛11105)=NaN","reverse_text":"NaN=∂⩏⊆(⇺⋃↹⩛11105)","cot":[{"info":"⇺⋃↹⩛11105=NaN","layer":1},{"info":"∂⩏⊆NaN=NaN","layer":0}]}
{"id":530,"expression_no_base_symbol":"$2453$⊍⩺⋍$1266$⩢≌","expression":"↹⩛15205⊍⩺⋍↹⩛5510⩢≌","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":439,"operation_count":2,"complexity_ratio":219.5,"tree":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2453,"base":6},"right_expr":{"type":"numeric_atoms","value":1266,"base":6}}},"used_operators":["D617RFjZIq","OXDGMFPWZM"],"dependent_operators":["hTbEZDJLEm","o20kRiQErp","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"↹⩛305","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2453","layer":2},{"info":"number node, value=1266","layer":2},{"info":"compute binary expreesion, left_input=2453, right_input=1266, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":0}],"base":6,"result_base":6,"text":"↹⩛15205⊍⩺⋍↹⩛5510⩢≌=↹⩛305","reverse_text":"↹⩛305=↹⩛15205⊍⩺⋍↹⩛5510⩢≌","cot":[{"info":"↹⩛15205⊍⩺⋍↹⩛5510=NaN","layer":1},{"info":"NaN⩢≌=↹⩛305","layer":0}]}
{"id":531,"expression_no_base_symbol":"⊗($6239$⩺⪪$1682$)","expression":"⊗(↹⩛44515⩺⪪↹⩛11442)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":147,"operation_count":2,"complexity_ratio":73.5,"tree":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":6239,"base":6},"right_expr":{"type":"numeric_atoms","value":1682,"base":6}}},"used_operators":["RhiyfpczSx","uvdQJvN4PV"],"dependent_operators":["nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"↹⩛3055232","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6239","layer":2},{"info":"number node, value=1682","layer":2},{"info":"compute binary expreesion, left_input=6239, right_input=1682, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-73810","layer":1},{"info":"compute unary expreesion, input=-73810, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=147620","layer":0}],"base":6,"result_base":6,"text":"⊗(↹⩛44515⩺⪪↹⩛11442)=↹⩛3055232","reverse_text":"↹⩛3055232=⊗(↹⩛44515⩺⪪↹⩛11442)","cot":[{"info":"↹⩛44515⩺⪪↹⩛11442=↹⩛-1325414","layer":1},{"info":"⊗↹⩛-1325414=↹⩛3055232","layer":0}]}
{"id":532,"expression_no_base_symbol":"$3719$↙$1013$⨳⩥⨓$6170$≭$1077$","expression":"↹⩛25115↙↹⩛4405⨳⩥⨓↹⩛44322≭↹⩛4553","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1020,"operation_count":3,"complexity_ratio":340.0,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3719,"base":6},"right_expr":{"type":"numeric_atoms","value":1013,"base":6}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6170,"base":6},"right_expr":{"type":"numeric_atoms","value":1077,"base":6}}},"used_operators":["nCS4ZIUYfx","yyfyN0ffXY","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3719","layer":2},{"info":"number node, value=1013","layer":2},{"info":"compute binary expreesion, left_input=3719, right_input=1013, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3039","layer":1},{"info":"number node, value=6170","layer":2},{"info":"number node, value=1077","layer":2},{"info":"compute binary expreesion, left_input=6170, right_input=1077, 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=-3039, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛25115↙↹⩛4405⨳⩥⨓↹⩛44322≭↹⩛4553=NaN","reverse_text":"NaN=↹⩛25115↙↹⩛4405⨳⩥⨓↹⩛44322≭↹⩛4553","cot":[{"info":"↹⩛25115↙↹⩛4405=↹⩛-22023","layer":1},{"info":"↹⩛44322≭↹⩛4553=NaN","layer":1},{"info":"↹⩛-22023⨳⩥⨓NaN=NaN","layer":0}]}
{"id":533,"expression_no_base_symbol":"$1866$↬$1112$↛⩡⫤","expression":"↹⩛12350↬↹⩛5052↛⩡⫤","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":64,"operation_count":2,"complexity_ratio":32.0,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1866,"base":6},"right_expr":{"type":"numeric_atoms","value":1112,"base":6}}},"used_operators":["FU0Cs4j7VP","B5M0gjZbta"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1866","layer":2},{"info":"number node, value=1112","layer":2},{"info":"compute binary expreesion, left_input=1866, right_input=1112, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬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 = 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":6,"result_base":6,"text":"↹⩛12350↬↹⩛5052↛⩡⫤=NaN","reverse_text":"NaN=↹⩛12350↬↹⩛5052↛⩡⫤","cot":[{"info":"↹⩛12350↬↹⩛5052=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":534,"expression_no_base_symbol":"$3683$⫉⨲⊜$1564$⇋≉","expression":"↹⩛25015⫉⨲⊜↹⩛11124⇋≉","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":36,"operation_count":2,"complexity_ratio":18.0,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":3683,"base":6},"right_expr":{"type":"numeric_atoms","value":1564,"base":6}}},"used_operators":["XIabStNQrY","WhqkvtTD3t"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","eewbuw0ToL","zVYPLywUTj"],"result":"↹⩛-242","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3683","layer":2},{"info":"number node, value=1564","layer":2},{"info":"compute binary expreesion, left_input=3683, right_input=1564, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-98","layer":0}],"base":6,"result_base":6,"text":"↹⩛25015⫉⨲⊜↹⩛11124⇋≉=↹⩛-242","reverse_text":"↹⩛-242=↹⩛25015⫉⨲⊜↹⩛11124⇋≉","cot":[{"info":"↹⩛25015⫉⨲⊜↹⩛11124=↹⩛0","layer":1},{"info":"↹⩛0⇋≉=↹⩛-242","layer":0}]}
{"id":535,"expression_no_base_symbol":"$5638$∙⊟$5639$↱$2010$⊲⩕⊾$3904$","expression":"↹⩛42034∙⊟↹⩛42035↱↹⩛13150⊲⩕⊾↹⩛30024","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5785,"operation_count":3,"complexity_ratio":1928.3333333333333,"tree":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":5638,"base":6},"right_expr":{"type":"numeric_atoms","value":5639,"base":6}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2010,"base":6},"right_expr":{"type":"numeric_atoms","value":3904,"base":6}}},"used_operators":["SR5kFfdi6N","SxTAKzQCrw","DmTXOeWf9t"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"↹⩛-15145200","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5638","layer":2},{"info":"number node, value=5639","layer":2},{"info":"compute binary expreesion, left_input=5638, right_input=5639, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=83140","layer":1},{"info":"number node, value=2010","layer":2},{"info":"number node, value=3904","layer":2},{"info":"compute binary expreesion, left_input=2010, right_input=3904, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-67830","layer":1},{"info":"compute binary expreesion, left_input=83140, right_input=-67830, 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=-527328","layer":0}],"base":6,"result_base":6,"text":"↹⩛42034∙⊟↹⩛42035↱↹⩛13150⊲⩕⊾↹⩛30024=↹⩛-15145200","reverse_text":"↹⩛-15145200=↹⩛42034∙⊟↹⩛42035↱↹⩛13150⊲⩕⊾↹⩛30024","cot":[{"info":"↹⩛42034∙⊟↹⩛42035=↹⩛1440524","layer":1},{"info":"↹⩛13150⊲⩕⊾↹⩛30024=↹⩛-1242010","layer":1},{"info":"↹⩛1440524↱↹⩛-1242010=↹⩛-15145200","layer":0}]}
{"id":536,"expression_no_base_symbol":"$1510$⫞⩸⩒$4302$+$1991$⪪$1881$","expression":"↹⩛10554⫞⩸⩒↹⩛31530+↹⩛13115⪪↹⩛12413","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6125,"operation_count":3,"complexity_ratio":2041.6666666666667,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1510,"base":6},"right_expr":{"type":"numeric_atoms","value":4302,"base":6}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1991,"base":6},"right_expr":{"type":"numeric_atoms","value":1881,"base":6}}},"used_operators":["W4YGzv6Whe","XGcMNugi78","xD69zh8xqp"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","FU0Cs4j7VP","JclMnS0uGI"],"result":"↹⩛-10133500","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1510","layer":2},{"info":"number node, value=4302","layer":2},{"info":"compute binary expreesion, left_input=1510, right_input=4302, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=4302","layer":1},{"info":"number node, value=1991","layer":2},{"info":"number node, value=1881","layer":2},{"info":"compute binary expreesion, left_input=1991, right_input=1881, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-296730","layer":1},{"info":"compute binary expreesion, left_input=4302, right_input=-296730, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-292428","layer":0}],"base":6,"result_base":6,"text":"↹⩛10554⫞⩸⩒↹⩛31530+↹⩛13115⪪↹⩛12413=↹⩛-10133500","reverse_text":"↹⩛-10133500=↹⩛10554⫞⩸⩒↹⩛31530+↹⩛13115⪪↹⩛12413","cot":[{"info":"↹⩛10554⫞⩸⩒↹⩛31530=↹⩛31530","layer":1},{"info":"↹⩛13115⪪↹⩛12413=↹⩛-10205430","layer":1},{"info":"↹⩛31530+↹⩛-10205430=↹⩛-10133500","layer":0}]}
{"id":537,"expression_no_base_symbol":"$3256$⫲≸⪮$1623$⩤","expression":"↹⩛23024⫲≸⪮↹⩛11303⩤","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3257,"operation_count":2,"complexity_ratio":1628.5,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":3256,"base":6},"right_expr":{"type":"numeric_atoms","value":1623,"base":6}}},"used_operators":["Z2TMIBDE3Q","P3lXMJvFrc"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"↹⩛-23024","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3256","layer":2},{"info":"number node, value=1623","layer":2},{"info":"compute binary expreesion, left_input=3256, right_input=1623, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=3256","layer":1},{"info":"compute unary expreesion, input=3256, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3256","layer":0}],"base":6,"result_base":6,"text":"↹⩛23024⫲≸⪮↹⩛11303⩤=↹⩛-23024","reverse_text":"↹⩛-23024=↹⩛23024⫲≸⪮↹⩛11303⩤","cot":[{"info":"↹⩛23024⫲≸⪮↹⩛11303=↹⩛23024","layer":1},{"info":"↹⩛23024⩤=↹⩛-23024","layer":0}]}
{"id":538,"expression_no_base_symbol":"⨛$2409$⋳⪒$1129$","expression":"⨛↹⩛15053⋳⪒↹⩛5121","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":52,"operation_count":2,"complexity_ratio":26.0,"tree":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2409,"base":6},"right_expr":{"type":"numeric_atoms","value":1129,"base":6}}},"used_operators":["CoMdbyAt7R","12rbrZMWeM"],"dependent_operators":["U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2409","layer":2},{"info":"number node, value=1129","layer":2},{"info":"compute binary expreesion, left_input=2409, right_input=1129, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3402","layer":1},{"info":"compute unary expreesion, input=3402, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⨛↹⩛15053⋳⪒↹⩛5121=NaN","reverse_text":"NaN=⨛↹⩛15053⋳⪒↹⩛5121","cot":[{"info":"↹⩛15053⋳⪒↹⩛5121=↹⩛23430","layer":1},{"info":"⨛↹⩛23430=NaN","layer":0}]}
{"id":539,"expression_no_base_symbol":"≤/$1537$⨎$1369$","expression":"≤/↹⩛11041⨎↹⩛10201","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1537,"base":6},"right_expr":{"type":"numeric_atoms","value":1369,"base":6}}},"used_operators":["eLAdDNolq6","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"↹⩛-4033","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1537","layer":2},{"info":"number node, value=1369","layer":2},{"info":"compute binary expreesion, left_input=1537, right_input=1369, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1369","layer":1},{"info":"compute unary expreesion, input=1369, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-885","layer":0}],"base":6,"result_base":6,"text":"≤/↹⩛11041⨎↹⩛10201=↹⩛-4033","reverse_text":"↹⩛-4033=≤/↹⩛11041⨎↹⩛10201","cot":[{"info":"↹⩛11041⨎↹⩛10201=↹⩛10201","layer":1},{"info":"≤/↹⩛10201=↹⩛-4033","layer":0}]}
{"id":540,"expression_no_base_symbol":"⋃($1746$∖$3913$)","expression":"⋃(↹⩛12030∖↹⩛30041)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":496,"operation_count":2,"complexity_ratio":248.0,"tree":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1746,"base":6},"right_expr":{"type":"numeric_atoms","value":3913,"base":6}}},"used_operators":["3mBM5G4a3l","tXD093vOjl"],"dependent_operators":["g55IO6H4Gj","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"↹⩛250","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1746","layer":2},{"info":"number node, value=3913","layer":2},{"info":"compute binary expreesion, left_input=1746, right_input=3913, 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 = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=102","layer":0}],"base":6,"result_base":6,"text":"⋃(↹⩛12030∖↹⩛30041)=↹⩛250","reverse_text":"↹⩛250=⋃(↹⩛12030∖↹⩛30041)","cot":[{"info":"↹⩛12030∖↹⩛30041=↹⩛0","layer":1},{"info":"⋃↹⩛0=↹⩛250","layer":0}]}
{"id":541,"expression_no_base_symbol":"($2446$⫩⊇)⪟⇏($3534$⨔⇊$1204$)","expression":"(↹⩛15154⫩⊇)⪟⇏(↹⩛24210⨔⇊↹⩛5324)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":33,"operation_count":3,"complexity_ratio":11.0,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2446,"base":6}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":3534,"base":6},"right_expr":{"type":"numeric_atoms","value":1204,"base":6}}},"used_operators":["GODebY97qR","BjRHVeLaeN","JclMnS0uGI"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2446","layer":2},{"info":"compute unary expreesion, input=2446, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2404","layer":1},{"info":"number node, value=3534","layer":2},{"info":"number node, value=1204","layer":2},{"info":"compute binary expreesion, left_input=3534, right_input=1204, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1204","layer":1},{"info":"compute binary expreesion, left_input=-2404, right_input=1204, 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":6,"result_base":6,"text":"(↹⩛15154⫩⊇)⪟⇏(↹⩛24210⨔⇊↹⩛5324)=↹⩛0","reverse_text":"↹⩛0=(↹⩛15154⫩⊇)⪟⇏(↹⩛24210⨔⇊↹⩛5324)","cot":[{"info":"↹⩛15154⫩⊇=↹⩛-15044","layer":1},{"info":"↹⩛24210⨔⇊↹⩛5324=↹⩛5324","layer":1},{"info":"↹⩛-15044⪟⇏↹⩛5324=↹⩛0","layer":0}]}
{"id":542,"expression_no_base_symbol":"⫯($2330$∝$2832$)","expression":"⫯(↹⩛14442∝↹⩛21040)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":57,"operation_count":2,"complexity_ratio":28.5,"tree":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2330,"base":6},"right_expr":{"type":"numeric_atoms","value":2832,"base":6}}},"used_operators":["H6BK1Evt7c","cTDWOvIxvz"],"dependent_operators":["2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"↹⩛-1441322","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2330","layer":2},{"info":"number node, value=2832","layer":2},{"info":"compute binary expreesion, left_input=2330, right_input=2832, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2335","layer":1},{"info":"compute unary expreesion, input=2335, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-83282","layer":0}],"base":6,"result_base":6,"text":"⫯(↹⩛14442∝↹⩛21040)=↹⩛-1441322","reverse_text":"↹⩛-1441322=⫯(↹⩛14442∝↹⩛21040)","cot":[{"info":"↹⩛14442∝↹⩛21040=↹⩛14451","layer":1},{"info":"⫯↹⩛14451=↹⩛-1441322","layer":0}]}
{"id":543,"expression_no_base_symbol":"(≇⪴$7046$)⫠↝⫳","expression":"(≇⪴↹⩛52342)⫠↝⫳","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":26,"operation_count":2,"complexity_ratio":13.0,"tree":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":7046,"base":6}}},"used_operators":["8n5YIzOsVS","zoVPnxeHJ3"],"dependent_operators":["9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C"],"result":"↹⩛-21322053","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7046","layer":2},{"info":"compute unary expreesion, input=7046, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-19798","layer":1},{"info":"compute unary expreesion, input=-19798, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=-632913","layer":0}],"base":6,"result_base":6,"text":"(≇⪴↹⩛52342)⫠↝⫳=↹⩛-21322053","reverse_text":"↹⩛-21322053=(≇⪴↹⩛52342)⫠↝⫳","cot":[{"info":"≇⪴↹⩛52342=↹⩛-231354","layer":1},{"info":"↹⩛-231354⫠↝⫳=↹⩛-21322053","layer":0}]}
{"id":544,"expression_no_base_symbol":"(⨰⫟⨤$2974$)⫸⇳($4861$⇮⋭$1509$)","expression":"(⨰⫟⨤↹⩛21434)⫸⇳(↹⩛34301⇮⋭↹⩛10553)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11113,"operation_count":3,"complexity_ratio":3704.3333333333335,"tree":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2974,"base":6}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":4861,"base":6},"right_expr":{"type":"numeric_atoms","value":1509,"base":6}}},"used_operators":["gx7XJ7hdpj","Tw270M8GLb","vkpjKywKVM"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2974","layer":2},{"info":"compute unary expreesion, input=2974, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=4861","layer":2},{"info":"number node, value=1509","layer":2},{"info":"compute binary expreesion, left_input=4861, right_input=1509, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-473, 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":6,"result_base":6,"text":"(⨰⫟⨤↹⩛21434)⫸⇳(↹⩛34301⇮⋭↹⩛10553)=NaN","reverse_text":"NaN=(⨰⫟⨤↹⩛21434)⫸⇳(↹⩛34301⇮⋭↹⩛10553)","cot":[{"info":"⨰⫟⨤↹⩛21434=NaN","layer":1},{"info":"↹⩛34301⇮⋭↹⩛10553=↹⩛-2105","layer":1},{"info":"NaN⫸⇳↹⩛-2105=NaN","layer":0}]}
{"id":545,"expression_no_base_symbol":"(↴⪽⋼$3521$)⪥⨬⪅","expression":"(↴⪽⋼↹⩛24145)⪥⨬⪅","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":103,"operation_count":2,"complexity_ratio":51.5,"tree":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":3521,"base":6}}},"used_operators":["zNRQejTB5A","5TUYCnJO6w"],"dependent_operators":["d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt"],"result":"↹⩛-2105","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3521","layer":2},{"info":"compute unary expreesion, input=3521, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=3521","layer":1},{"info":"compute unary expreesion, input=3521, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":0}],"base":6,"result_base":6,"text":"(↴⪽⋼↹⩛24145)⪥⨬⪅=↹⩛-2105","reverse_text":"↹⩛-2105=(↴⪽⋼↹⩛24145)⪥⨬⪅","cot":[{"info":"↴⪽⋼↹⩛24145=↹⩛24145","layer":1},{"info":"↹⩛24145⪥⨬⪅=↹⩛-2105","layer":0}]}
{"id":546,"expression_no_base_symbol":"($1750$≳⇉$1427$)⨚⇆($2019$⪍↜⋙$1122$)","expression":"(↹⩛12034≳⇉↹⩛10335)⨚⇆(↹⩛13203⪍↜⋙↹⩛5110)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":33379714,"operation_count":3,"complexity_ratio":11126571.333333334,"tree":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1750,"base":6},"right_expr":{"type":"numeric_atoms","value":1427,"base":6}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2019,"base":6},"right_expr":{"type":"numeric_atoms","value":1122,"base":6}}},"used_operators":["lwHaAYXP2r","V0kx6qeWkN","L05ObWFQCd"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1750","layer":2},{"info":"number node, value=1427","layer":2},{"info":"compute binary expreesion, left_input=1750, right_input=1427, 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=2019","layer":2},{"info":"number node, value=1122","layer":2},{"info":"compute binary expreesion, left_input=2019, right_input=1122, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=1794","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1794, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛12034≳⇉↹⩛10335)⨚⇆(↹⩛13203⪍↜⋙↹⩛5110)=NaN","reverse_text":"NaN=(↹⩛12034≳⇉↹⩛10335)⨚⇆(↹⩛13203⪍↜⋙↹⩛5110)","cot":[{"info":"↹⩛12034≳⇉↹⩛10335=NaN","layer":1},{"info":"↹⩛13203⪍↜⋙↹⩛5110=↹⩛12150","layer":1},{"info":"NaN⨚⇆↹⩛12150=NaN","layer":0}]}
{"id":547,"expression_no_base_symbol":"$2209$⫘$2079$⫃⨇($7673$∷$8075$)","expression":"↹⩛14121⫘↹⩛13343⫃⨇(↹⩛55305∷↹⩛101215)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2440,"operation_count":3,"complexity_ratio":813.3333333333334,"tree":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2209,"base":6},"right_expr":{"type":"numeric_atoms","value":2079,"base":6}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":7673,"base":6},"right_expr":{"type":"numeric_atoms","value":8075,"base":6}}},"used_operators":["09Ly4LVMIf","48vC8HMD2b","D3AQDKkPcf"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"↹⩛-405404","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2209","layer":2},{"info":"number node, value=2079","layer":2},{"info":"compute binary expreesion, left_input=2209, right_input=2079, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2602189","layer":1},{"info":"number node, value=7673","layer":2},{"info":"number node, value=8075","layer":2},{"info":"compute binary expreesion, left_input=7673, right_input=8075, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=8075","layer":1},{"info":"compute binary expreesion, left_input=2602189, right_input=8075, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-32332","layer":0}],"base":6,"result_base":6,"text":"↹⩛14121⫘↹⩛13343⫃⨇(↹⩛55305∷↹⩛101215)=↹⩛-405404","reverse_text":"↹⩛-405404=↹⩛14121⫘↹⩛13343⫃⨇(↹⩛55305∷↹⩛101215)","cot":[{"info":"↹⩛14121⫘↹⩛13343=↹⩛131435101","layer":1},{"info":"↹⩛55305∷↹⩛101215=↹⩛101215","layer":1},{"info":"↹⩛131435101⫃⨇↹⩛101215=↹⩛-405404","layer":0}]}
{"id":548,"expression_no_base_symbol":"$1118$≠≀$7217$⊭↱(≸$1327$)","expression":"↹⩛5102≠≀↹⩛53225⊭↱(≸↹⩛10051)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":78,"operation_count":3,"complexity_ratio":26.0,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1118,"base":6},"right_expr":{"type":"numeric_atoms","value":7217,"base":6}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":1327,"base":6}}},"used_operators":["COABgblf1C","IwW236VD4Y","eOf03JbCpp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI"],"result":"↹⩛30233","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1118","layer":2},{"info":"number node, value=7217","layer":2},{"info":"compute binary expreesion, left_input=1118, right_input=7217, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-1930","layer":1},{"info":"number node, value=1327","layer":2},{"info":"compute unary expreesion, input=1327, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":1},{"info":"compute binary expreesion, left_input=-1930, right_input=58, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3981","layer":0}],"base":6,"result_base":6,"text":"↹⩛5102≠≀↹⩛53225⊭↱(≸↹⩛10051)=↹⩛30233","reverse_text":"↹⩛30233=↹⩛5102≠≀↹⩛53225⊭↱(≸↹⩛10051)","cot":[{"info":"↹⩛5102≠≀↹⩛53225=↹⩛-12534","layer":1},{"info":"≸↹⩛10051=↹⩛134","layer":1},{"info":"↹⩛-12534⊭↱↹⩛134=↹⩛30233","layer":0}]}
{"id":549,"expression_no_base_symbol":"$4968$∌↝$1039$⨚⇆$8157$⪪$1079$","expression":"↹⩛35000∌↝↹⩛4451⨚⇆↹⩛101433⪪↹⩛4555","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":24658,"operation_count":3,"complexity_ratio":8219.333333333334,"tree":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":4968,"base":6},"right_expr":{"type":"numeric_atoms","value":1039,"base":6}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":8157,"base":6},"right_expr":{"type":"numeric_atoms","value":1079,"base":6}}},"used_operators":["lwHaAYXP2r","9Isq31Ruls","xD69zh8xqp"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","FU0Cs4j7VP","JclMnS0uGI"],"result":"↹⩛-124240334","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4968","layer":2},{"info":"number node, value=1039","layer":2},{"info":"compute binary expreesion, left_input=4968, right_input=1039, 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=8157","layer":2},{"info":"number node, value=1079","layer":2},{"info":"compute binary expreesion, left_input=8157, right_input=1079, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-1227796","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-1227796, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=-2446978","layer":0}],"base":6,"result_base":6,"text":"↹⩛35000∌↝↹⩛4451⨚⇆↹⩛101433⪪↹⩛4555=↹⩛-124240334","reverse_text":"↹⩛-124240334=↹⩛35000∌↝↹⩛4451⨚⇆↹⩛101433⪪↹⩛4555","cot":[{"info":"↹⩛35000∌↝↹⩛4451=↹⩛0","layer":1},{"info":"↹⩛101433⪪↹⩛4555=↹⩛-42152124","layer":1},{"info":"↹⩛0⨚⇆↹⩛-42152124=↹⩛-124240334","layer":0}]}
{"id":550,"expression_no_base_symbol":"($2505$∁)↼⊘⨖$1304$⇍⊗$4339$","expression":"(↹⩛15333∁)↼⊘⨖↹⩛10012⇍⊗↹⩛32031","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":49,"operation_count":3,"complexity_ratio":16.333333333333332,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":2505,"base":6}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1304,"base":6},"right_expr":{"type":"numeric_atoms","value":4339,"base":6}}},"used_operators":["bPywburJMS","jdwGQqwJi5","5uvYHDjeKN"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","2DDjHMKMc0","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"↹⩛-3142","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2505","layer":2},{"info":"compute unary expreesion, input=2505, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=2505","layer":1},{"info":"number node, value=1304","layer":2},{"info":"number node, value=4339","layer":2},{"info":"compute binary expreesion, left_input=1304, right_input=4339, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"compute binary expreesion, left_input=2505, right_input=-244, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-710","layer":0}],"base":6,"result_base":6,"text":"(↹⩛15333∁)↼⊘⨖↹⩛10012⇍⊗↹⩛32031=↹⩛-3142","reverse_text":"↹⩛-3142=(↹⩛15333∁)↼⊘⨖↹⩛10012⇍⊗↹⩛32031","cot":[{"info":"↹⩛15333∁=↹⩛15333","layer":1},{"info":"↹⩛10012⇍⊗↹⩛32031=↹⩛-1044","layer":1},{"info":"↹⩛15333↼⊘⨖↹⩛-1044=↹⩛-3142","layer":0}]}
{"id":551,"expression_no_base_symbol":"$8354$⪝$3117$⩺⪪$1447$⫸⇳$1929$","expression":"↹⩛102402⪝↹⩛22233⩺⪪↹⩛10411⫸⇳↹⩛12533","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":555,"operation_count":3,"complexity_ratio":185.0,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":8354,"base":6},"right_expr":{"type":"numeric_atoms","value":3117,"base":6}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1447,"base":6},"right_expr":{"type":"numeric_atoms","value":1929,"base":6}}},"used_operators":["uvdQJvN4PV","wicAB68Tmb","gx7XJ7hdpj"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"↹⩛-12230","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8354","layer":2},{"info":"number node, value=3117","layer":2},{"info":"compute binary expreesion, left_input=8354, right_input=3117, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-21347","layer":1},{"info":"number node, value=1447","layer":2},{"info":"number node, value=1929","layer":2},{"info":"compute binary expreesion, left_input=1447, right_input=1929, 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=-21347, right_input=0, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":0}],"base":6,"result_base":6,"text":"↹⩛102402⪝↹⩛22233⩺⪪↹⩛10411⫸⇳↹⩛12533=↹⩛-12230","reverse_text":"↹⩛-12230=↹⩛102402⪝↹⩛22233⩺⪪↹⩛10411⫸⇳↹⩛12533","cot":[{"info":"↹⩛102402⪝↹⩛22233=↹⩛-242455","layer":1},{"info":"↹⩛10411⫸⇳↹⩛12533=↹⩛0","layer":1},{"info":"↹⩛-242455⩺⪪↹⩛0=↹⩛-12230","layer":0}]}
{"id":552,"expression_no_base_symbol":"($5443$⋥⋵⩄$3909$)⩦($1391$⪍↜⋙$8051$)","expression":"(↹⩛41111⋥⋵⩄↹⩛30033)⩦(↹⩛10235⪍↜⋙↹⩛101135)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":59,"operation_count":3,"complexity_ratio":19.666666666666668,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":5443,"base":6},"right_expr":{"type":"numeric_atoms","value":3909,"base":6}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1391,"base":6},"right_expr":{"type":"numeric_atoms","value":8051,"base":6}}},"used_operators":["0kmYd0q39Y","7t3wd0Fuz7","L05ObWFQCd"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"↹⩛1014","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5443","layer":2},{"info":"number node, value=3909","layer":2},{"info":"compute binary expreesion, left_input=5443, right_input=3909, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":1},{"info":"number node, value=1391","layer":2},{"info":"number node, value=8051","layer":2},{"info":"compute binary expreesion, left_input=1391, right_input=8051, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-23840","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=-23840, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=226","layer":0}],"base":6,"result_base":6,"text":"(↹⩛41111⋥⋵⩄↹⩛30033)⩦(↹⩛10235⪍↜⋙↹⩛101135)=↹⩛1014","reverse_text":"↹⩛1014=(↹⩛41111⋥⋵⩄↹⩛30033)⩦(↹⩛10235⪍↜⋙↹⩛101135)","cot":[{"info":"↹⩛41111⋥⋵⩄↹⩛30033=↹⩛305","layer":1},{"info":"↹⩛10235⪍↜⋙↹⩛101135=↹⩛-302212","layer":1},{"info":"↹⩛305⩦↹⩛-302212=↹⩛1014","layer":0}]}
{"id":553,"expression_no_base_symbol":"(⊗$2840$)↦","expression":"(⊗↹⩛21052)↦","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":393,"operation_count":2,"complexity_ratio":196.5,"tree":{"type":"unary","operator":"↦","unary_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":2840,"base":6}}},"used_operators":["fFznvYxMfW","RhiyfpczSx"],"dependent_operators":["L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U"],"result":"↹⩛-440","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2840","layer":2},{"info":"compute unary expreesion, input=2840, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-5680","layer":1},{"info":"compute unary expreesion, input=-5680, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=-168","layer":0}],"base":6,"result_base":6,"text":"(⊗↹⩛21052)↦=↹⩛-440","reverse_text":"↹⩛-440=(⊗↹⩛21052)↦","cot":[{"info":"⊗↹⩛21052=↹⩛-42144","layer":1},{"info":"↹⩛-42144↦=↹⩛-440","layer":0}]}
{"id":554,"expression_no_base_symbol":"($6233$⨪↰⇹$6867$)⫒⫫($2410$⊧↖)","expression":"(↹⩛44505⨪↰⇹↹⩛51443)⫒⫫(↹⩛15054⊧↖)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8695,"operation_count":3,"complexity_ratio":2898.3333333333335,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6233,"base":6},"right_expr":{"type":"numeric_atoms","value":6867,"base":6}},"right_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":2410,"base":6}}},"used_operators":["6Ko8hGgeMq","tmPS8pqC7x","EKiFHuOFxO"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","rJVOvQCfKK","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6233","layer":2},{"info":"number node, value=6867","layer":2},{"info":"compute binary expreesion, left_input=6233, right_input=6867, 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=6233","layer":1},{"info":"number node, value=2410","layer":2},{"info":"compute unary expreesion, input=2410, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=34860188","layer":1},{"info":"compute binary expreesion, left_input=6233, right_input=34860188, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛44505⨪↰⇹↹⩛51443)⫒⫫(↹⩛15054⊧↖)=NaN","reverse_text":"NaN=(↹⩛44505⨪↰⇹↹⩛51443)⫒⫫(↹⩛15054⊧↖)","cot":[{"info":"↹⩛44505⨪↰⇹↹⩛51443=↹⩛44505","layer":1},{"info":"↹⩛15054⊧↖=↹⩛3243101432","layer":1},{"info":"↹⩛44505⫒⫫↹⩛3243101432=NaN","layer":0}]}
{"id":555,"expression_no_base_symbol":"($4926$⊴⇁⪶)∧","expression":"(↹⩛34450⊴⇁⪶)∧","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5087,"operation_count":2,"complexity_ratio":2543.5,"tree":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":4926,"base":6}}},"used_operators":["z63VuFQld9","oo9mF6JIpo"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4926","layer":2},{"info":"compute unary expreesion, input=4926, 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=100694","layer":1},{"info":"compute unary expreesion, input=100694, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛34450⊴⇁⪶)∧=NaN","reverse_text":"NaN=(↹⩛34450⊴⇁⪶)∧","cot":[{"info":"↹⩛34450⊴⇁⪶=↹⩛2054102","layer":1},{"info":"↹⩛2054102∧=NaN","layer":0}]}
{"id":556,"expression_no_base_symbol":"$7992$⩒⫫$3101$∙⊟$1823$∴$5318$","expression":"↹⩛101000⩒⫫↹⩛22205∙⊟↹⩛12235∴↹⩛40342","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7794,"operation_count":3,"complexity_ratio":2598.0,"tree":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":7992,"base":6},"right_expr":{"type":"numeric_atoms","value":3101,"base":6}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1823,"base":6},"right_expr":{"type":"numeric_atoms","value":5318,"base":6}}},"used_operators":["SxTAKzQCrw","KFSx94NKJn","hrf7POJlIJ"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"↹⩛2204224","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7992","layer":2},{"info":"number node, value=3101","layer":2},{"info":"compute binary expreesion, left_input=7992, right_input=3101, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=7690","layer":1},{"info":"number node, value=1823","layer":2},{"info":"number node, value=5318","layer":2},{"info":"compute binary expreesion, left_input=1823, right_input=5318, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5294","layer":1},{"info":"compute binary expreesion, left_input=7690, right_input=5294, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=109816","layer":0}],"base":6,"result_base":6,"text":"↹⩛101000⩒⫫↹⩛22205∙⊟↹⩛12235∴↹⩛40342=↹⩛2204224","reverse_text":"↹⩛2204224=↹⩛101000⩒⫫↹⩛22205∙⊟↹⩛12235∴↹⩛40342","cot":[{"info":"↹⩛101000⩒⫫↹⩛22205=↹⩛55334","layer":1},{"info":"↹⩛12235∴↹⩛40342=↹⩛40302","layer":1},{"info":"↹⩛55334∙⊟↹⩛40302=↹⩛2204224","layer":0}]}
{"id":557,"expression_no_base_symbol":"$6208$⩣⫁∢$1230$⩌⋺(⋠∜$2714$)","expression":"↹⩛44424⩣⫁∢↹⩛5410⩌⋺(⋠∜↹⩛20322)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":46,"operation_count":3,"complexity_ratio":15.333333333333334,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":6208,"base":6},"right_expr":{"type":"numeric_atoms","value":1230,"base":6}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":2714,"base":6}}},"used_operators":["g7Hmc5v1ko","JDUIKTTSIa","ZJpFhNJr3x"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF"],"result":"↹⩛-4354","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6208","layer":2},{"info":"number node, value=1230","layer":2},{"info":"compute binary expreesion, left_input=6208, right_input=1230, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-12255","layer":1},{"info":"number node, value=2714","layer":2},{"info":"compute unary expreesion, input=2714, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=13140","layer":1},{"info":"compute binary expreesion, left_input=-12255, right_input=13140, 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=-1006","layer":0}],"base":6,"result_base":6,"text":"↹⩛44424⩣⫁∢↹⩛5410⩌⋺(⋠∜↹⩛20322)=↹⩛-4354","reverse_text":"↹⩛-4354=↹⩛44424⩣⫁∢↹⩛5410⩌⋺(⋠∜↹⩛20322)","cot":[{"info":"↹⩛44424⩣⫁∢↹⩛5410=↹⩛-132423","layer":1},{"info":"⋠∜↹⩛20322=↹⩛140500","layer":1},{"info":"↹⩛-132423⩌⋺↹⩛140500=↹⩛-4354","layer":0}]}
{"id":558,"expression_no_base_symbol":"($1986$⋷$2250$)⪹","expression":"(↹⩛13110⋷↹⩛14230)⪹","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":18,"operation_count":2,"complexity_ratio":9.0,"tree":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1986,"base":6},"right_expr":{"type":"numeric_atoms","value":2250,"base":6}}},"used_operators":["B3sABdIn96","23Mk6UjR3U"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛112024","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1986","layer":2},{"info":"number node, value=2250","layer":2},{"info":"compute binary expreesion, left_input=1986, right_input=2250, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2514","layer":1},{"info":"compute unary expreesion, input=2514, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=9520","layer":0}],"base":6,"result_base":6,"text":"(↹⩛13110⋷↹⩛14230)⪹=↹⩛112024","reverse_text":"↹⩛112024=(↹⩛13110⋷↹⩛14230)⪹","cot":[{"info":"↹⩛13110⋷↹⩛14230=↹⩛15350","layer":1},{"info":"↹⩛15350⪹=↹⩛112024","layer":0}]}
{"id":559,"expression_no_base_symbol":"$1445$∠↢$6369$⩨$5686$⨒$3526$","expression":"↹⩛10405∠↢↹⩛45253⩨↹⩛42154⨒↹⩛24154","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":37,"operation_count":3,"complexity_ratio":12.333333333333334,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1445,"base":6},"right_expr":{"type":"numeric_atoms","value":6369,"base":6}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":5686,"base":6},"right_expr":{"type":"numeric_atoms","value":3526,"base":6}}},"used_operators":["2DlMacCsIx","KbjG8mgYpV","y75s1iXyHd"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1445","layer":2},{"info":"number node, value=6369","layer":2},{"info":"compute binary expreesion, left_input=1445, right_input=6369, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-93864","layer":1},{"info":"number node, value=5686","layer":2},{"info":"number node, value=3526","layer":2},{"info":"compute binary expreesion, left_input=5686, right_input=3526, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-33744","layer":1},{"info":"compute binary expreesion, left_input=-93864, right_input=-33744, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"↹⩛10405∠↢↹⩛45253⩨↹⩛42154⨒↹⩛24154=↹⩛0","reverse_text":"↹⩛0=↹⩛10405∠↢↹⩛45253⩨↹⩛42154⨒↹⩛24154","cot":[{"info":"↹⩛10405∠↢↹⩛45253=↹⩛-2002320","layer":1},{"info":"↹⩛42154⨒↹⩛24154=↹⩛-420120","layer":1},{"info":"↹⩛-2002320⩨↹⩛-420120=↹⩛0","layer":0}]}
{"id":560,"expression_no_base_symbol":"⇋⊎⋝($4871$∺≝⩲$1370$)","expression":"⇋⊎⋝(↹⩛34315∺≝⩲↹⩛10202)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":169,"operation_count":2,"complexity_ratio":84.5,"tree":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":4871,"base":6},"right_expr":{"type":"numeric_atoms","value":1370,"base":6}}},"used_operators":["CzM2PEoXns","KPf6cnQVty"],"dependent_operators":["dWAJyo7jo9","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4871","layer":2},{"info":"number node, value=1370","layer":2},{"info":"compute binary expreesion, left_input=4871, right_input=1370, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⇋⊎⋝(↹⩛34315∺≝⩲↹⩛10202)=NaN","reverse_text":"NaN=⇋⊎⋝(↹⩛34315∺≝⩲↹⩛10202)","cot":[{"info":"↹⩛34315∺≝⩲↹⩛10202=↹⩛424","layer":1},{"info":"⇋⊎⋝↹⩛424=NaN","layer":0}]}
{"id":561,"expression_no_base_symbol":"(⨈⫕$4277$)⋥≓≎($1555$∧)","expression":"(⨈⫕↹⩛31445)⋥≓≎(↹⩛11111∧)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":396,"operation_count":3,"complexity_ratio":132.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4277,"base":6}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1555,"base":6}}},"used_operators":["Qy55tPpLXF","megm06wKyl","z63VuFQld9"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4277","layer":2},{"info":"compute unary expreesion, input=4277, 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=1555","layer":2},{"info":"compute unary expreesion, input=1555, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-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":0}],"base":6,"result_base":6,"text":"(⨈⫕↹⩛31445)⋥≓≎(↹⩛11111∧)=NaN","reverse_text":"NaN=(⨈⫕↹⩛31445)⋥≓≎(↹⩛11111∧)","cot":[{"info":"⨈⫕↹⩛31445=↹⩛-33","layer":1},{"info":"↹⩛11111∧=NaN","layer":1},{"info":"↹⩛-33⋥≓≎NaN=NaN","layer":0}]}
{"id":562,"expression_no_base_symbol":"($1764$∖$1006$)⨟⋌⩍(⫟$5318$)","expression":"(↹⩛12100∖↹⩛4354)⨟⋌⩍(⫟↹⩛40342)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":303,"operation_count":3,"complexity_ratio":101.0,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1764,"base":6},"right_expr":{"type":"numeric_atoms","value":1006,"base":6}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":5318,"base":6}}},"used_operators":["rGHVDoGpnC","tXD093vOjl","z4E1FaHLuy"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1764","layer":2},{"info":"number node, value=1006","layer":2},{"info":"compute binary expreesion, left_input=1764, right_input=1006, 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=5318","layer":2},{"info":"compute unary expreesion, input=5318, 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=-15047","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-15047, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛12100∖↹⩛4354)⨟⋌⩍(⫟↹⩛40342)=NaN","reverse_text":"NaN=(↹⩛12100∖↹⩛4354)⨟⋌⩍(⫟↹⩛40342)","cot":[{"info":"↹⩛12100∖↹⩛4354=↹⩛0","layer":1},{"info":"⫟↹⩛40342=↹⩛-153355","layer":1},{"info":"↹⩛0⨟⋌⩍↹⩛-153355=NaN","layer":0}]}
{"id":563,"expression_no_base_symbol":"$3097$⩣⫁∢$1879$⨳⩥⨓$1542$⨔≚≋$5403$","expression":"↹⩛22201⩣⫁∢↹⩛12411⨳⩥⨓↹⩛11050⨔≚≋↹⩛41003","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":71,"operation_count":3,"complexity_ratio":23.666666666666668,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":3097,"base":6},"right_expr":{"type":"numeric_atoms","value":1879,"base":6}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1542,"base":6},"right_expr":{"type":"numeric_atoms","value":5403,"base":6}}},"used_operators":["nCS4ZIUYfx","JDUIKTTSIa","Z57zeUYC9z"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"↹⩛201345","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3097","layer":2},{"info":"number node, value=1879","layer":2},{"info":"compute binary expreesion, left_input=3097, right_input=1879, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-6033","layer":1},{"info":"number node, value=1542","layer":2},{"info":"number node, value=5403","layer":2},{"info":"compute binary expreesion, left_input=1542, right_input=5403, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":1},{"info":"compute binary expreesion, left_input=-6033, right_input=9872, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=15905","layer":0}],"base":6,"result_base":6,"text":"↹⩛22201⩣⫁∢↹⩛12411⨳⩥⨓↹⩛11050⨔≚≋↹⩛41003=↹⩛201345","reverse_text":"↹⩛201345=↹⩛22201⩣⫁∢↹⩛12411⨳⩥⨓↹⩛11050⨔≚≋↹⩛41003","cot":[{"info":"↹⩛22201⩣⫁∢↹⩛12411=↹⩛-43533","layer":1},{"info":"↹⩛11050⨔≚≋↹⩛41003=↹⩛113412","layer":1},{"info":"↹⩛-43533⨳⩥⨓↹⩛113412=↹⩛201345","layer":0}]}
{"id":564,"expression_no_base_symbol":"(≸$3563$)⊟⇱","expression":"(≸↹⩛24255)⊟⇱","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":68,"operation_count":2,"complexity_ratio":34.0,"tree":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":3563,"base":6}}},"used_operators":["03sUfWo75k","eOf03JbCpp"],"dependent_operators":["IWmyXbctLI","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI"],"result":"↹⩛2000","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3563","layer":2},{"info":"compute unary expreesion, input=3563, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":1},{"info":"compute unary expreesion, input=58, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=432","layer":0}],"base":6,"result_base":6,"text":"(≸↹⩛24255)⊟⇱=↹⩛2000","reverse_text":"↹⩛2000=(≸↹⩛24255)⊟⇱","cot":[{"info":"≸↹⩛24255=↹⩛134","layer":1},{"info":"↹⩛134⊟⇱=↹⩛2000","layer":0}]}
{"id":565,"expression_no_base_symbol":"⇤←(⨵≀≌$1128$)","expression":"⇤←(⨵≀≌↹⩛5120)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10186,"operation_count":2,"complexity_ratio":5093.0,"tree":{"type":"unary","operator":"⇤←","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1128,"base":6}}},"used_operators":["jfAgQ2OQeM","srAu1WTS94"],"dependent_operators":["NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"↹⩛25402","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1128","layer":2},{"info":"compute unary expreesion, input=1128, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3384","layer":1},{"info":"compute unary expreesion, input=-3384, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=3818","layer":0}],"base":6,"result_base":6,"text":"⇤←(⨵≀≌↹⩛5120)=↹⩛25402","reverse_text":"↹⩛25402=⇤←(⨵≀≌↹⩛5120)","cot":[{"info":"⨵≀≌↹⩛5120=↹⩛-23400","layer":1},{"info":"⇤←↹⩛-23400=↹⩛25402","layer":0}]}
{"id":566,"expression_no_base_symbol":"($3707$⪭≯$1005$)⨰$4872$⨿$1034$","expression":"(↹⩛25055⪭≯↹⩛4353)⨰↹⩛34320⨿↹⩛4442","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":411,"operation_count":3,"complexity_ratio":137.0,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":3707,"base":6},"right_expr":{"type":"numeric_atoms","value":1005,"base":6}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":4872,"base":6},"right_expr":{"type":"numeric_atoms","value":1034,"base":6}}},"used_operators":["eewbuw0ToL","XAx5wpdLa6","abYXlopdE0"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3707","layer":2},{"info":"number node, value=1005","layer":2},{"info":"compute binary expreesion, left_input=3707, right_input=1005, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"number node, value=4872","layer":2},{"info":"number node, value=1034","layer":2},{"info":"compute binary expreesion, left_input=4872, right_input=1034, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-319, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛25055⪭≯↹⩛4353)⨰↹⩛34320⨿↹⩛4442=NaN","reverse_text":"NaN=(↹⩛25055⪭≯↹⩛4353)⨰↹⩛34320⨿↹⩛4442","cot":[{"info":"↹⩛25055⪭≯↹⩛4353=NaN","layer":1},{"info":"↹⩛34320⨿↹⩛4442=↹⩛-1251","layer":1},{"info":"NaN⨰↹⩛-1251=NaN","layer":0}]}
{"id":567,"expression_no_base_symbol":"$2600$↼⊘⨖$6248$⨭⪣($4323$⇉⇱⇎)","expression":"↹⩛20012↼⊘⨖↹⩛44532⨭⪣(↹⩛32003⇉⇱⇎)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":79,"operation_count":3,"complexity_ratio":26.333333333333332,"tree":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2600,"base":6},"right_expr":{"type":"numeric_atoms","value":6248,"base":6}},"right_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":4323,"base":6}}},"used_operators":["kn8WO9XteQ","bPywburJMS","MRPaB8lBjK"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY"],"result":"↹⩛122523","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2600","layer":2},{"info":"number node, value=6248","layer":2},{"info":"compute binary expreesion, left_input=2600, right_input=6248, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=12274","layer":1},{"info":"number node, value=4323","layer":2},{"info":"compute unary expreesion, input=4323, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-4105","layer":1},{"info":"compute binary expreesion, left_input=12274, right_input=-4105, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=10995","layer":0}],"base":6,"result_base":6,"text":"↹⩛20012↼⊘⨖↹⩛44532⨭⪣(↹⩛32003⇉⇱⇎)=↹⩛122523","reverse_text":"↹⩛122523=↹⩛20012↼⊘⨖↹⩛44532⨭⪣(↹⩛32003⇉⇱⇎)","cot":[{"info":"↹⩛20012↼⊘⨖↹⩛44532=↹⩛132454","layer":1},{"info":"↹⩛32003⇉⇱⇎=↹⩛-31001","layer":1},{"info":"↹⩛132454⨭⪣↹⩛-31001=↹⩛122523","layer":0}]}
{"id":568,"expression_no_base_symbol":"(≉$4091$)↺$8465$⫉⨲⊜$6272$","expression":"(≉↹⩛30535)↺↹⩛103105⫉⨲⊜↹⩛45012","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":37,"operation_count":3,"complexity_ratio":12.333333333333334,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4091,"base":6}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":8465,"base":6},"right_expr":{"type":"numeric_atoms","value":6272,"base":6}}},"used_operators":["7j4O788W3g","e1ybzncUwg","WhqkvtTD3t"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","zVYPLywUTj"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4091","layer":2},{"info":"compute unary expreesion, input=4091, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4622","layer":1},{"info":"number node, value=8465","layer":2},{"info":"number node, value=6272","layer":2},{"info":"compute binary expreesion, left_input=8465, right_input=6272, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=4622, 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":0}],"base":6,"result_base":6,"text":"(≉↹⩛30535)↺↹⩛103105⫉⨲⊜↹⩛45012=↹⩛0","reverse_text":"↹⩛0=(≉↹⩛30535)↺↹⩛103105⫉⨲⊜↹⩛45012","cot":[{"info":"≉↹⩛30535=↹⩛33222","layer":1},{"info":"↹⩛103105⫉⨲⊜↹⩛45012=↹⩛0","layer":1},{"info":"↹⩛33222↺↹⩛0=↹⩛0","layer":0}]}
{"id":569,"expression_no_base_symbol":"(⨡↴$3855$)↰","expression":"(⨡↴↹⩛25503)↰","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"↰","unary_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":3855,"base":6}}},"used_operators":["bl5wxAcryP","liw5iZPkLH"],"dependent_operators":["nCS4ZIUYfx","Z2TMIBDE3Q","W4YGzv6Whe","P8v4zCKN1o"],"result":"↹⩛34123","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3855","layer":2},{"info":"compute unary expreesion, input=3855, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=4904","layer":1},{"info":"compute unary expreesion, input=4904, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=4803","layer":0}],"base":6,"result_base":6,"text":"(⨡↴↹⩛25503)↰=↹⩛34123","reverse_text":"↹⩛34123=(⨡↴↹⩛25503)↰","cot":[{"info":"⨡↴↹⩛25503=↹⩛34412","layer":1},{"info":"↹⩛34412↰=↹⩛34123","layer":0}]}
{"id":570,"expression_no_base_symbol":"($1145$↬$1188$)⪭($2107$⩧⪆$2671$)","expression":"(↹⩛5145↬↹⩛5300)⪭(↹⩛13431⩧⪆↹⩛20211)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1145,"base":6},"right_expr":{"type":"numeric_atoms","value":1188,"base":6}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2107,"base":6},"right_expr":{"type":"numeric_atoms","value":2671,"base":6}}},"used_operators":["j9kHMeSvPp","B5M0gjZbta","Ikt5ks8PT7"],"dependent_operators":["COABgblf1C","xUOZtlo3hN","rGHVDoGpnC","eewbuw0ToL","t8gj7n24qd"],"result":"↹⩛5","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1145","layer":2},{"info":"number node, value=1188","layer":2},{"info":"compute binary expreesion, left_input=1145, right_input=1188, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬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=2107","layer":2},{"info":"number node, value=2671","layer":2},{"info":"compute binary expreesion, left_input=2107, right_input=2671, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2671","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2671, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5145↬↹⩛5300)⪭(↹⩛13431⩧⪆↹⩛20211)=↹⩛5","reverse_text":"↹⩛5=(↹⩛5145↬↹⩛5300)⪭(↹⩛13431⩧⪆↹⩛20211)","cot":[{"info":"↹⩛5145↬↹⩛5300=NaN","layer":1},{"info":"↹⩛13431⩧⪆↹⩛20211=↹⩛-20211","layer":1},{"info":"NaN⪭↹⩛-20211=↹⩛5","layer":0}]}
{"id":571,"expression_no_base_symbol":"↸⊣($3354$↙$2476$)","expression":"↸⊣(↹⩛23310↙↹⩛15244)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2489,"operation_count":2,"complexity_ratio":1244.5,"tree":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3354,"base":6},"right_expr":{"type":"numeric_atoms","value":2476,"base":6}}},"used_operators":["wztAlM01eG","yyfyN0ffXY"],"dependent_operators":["N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","tmPS8pqC7x","DpFCA1CohY"],"result":"↹⩛152440","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3354","layer":2},{"info":"number node, value=2476","layer":2},{"info":"compute binary expreesion, left_input=3354, right_input=2476, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7428","layer":1},{"info":"compute unary expreesion, input=-7428, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=14856","layer":0}],"base":6,"result_base":6,"text":"↸⊣(↹⩛23310↙↹⩛15244)=↹⩛152440","reverse_text":"↹⩛152440=↸⊣(↹⩛23310↙↹⩛15244)","cot":[{"info":"↹⩛23310↙↹⩛15244=↹⩛-54220","layer":1},{"info":"↸⊣↹⩛-54220=↹⩛152440","layer":0}]}
{"id":572,"expression_no_base_symbol":"⋣($1586$⩵∡$3010$)","expression":"⋣(↹⩛11202⩵∡↹⩛21534)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":178,"operation_count":2,"complexity_ratio":89.0,"tree":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1586,"base":6},"right_expr":{"type":"numeric_atoms","value":3010,"base":6}}},"used_operators":["zQWRhDnn8F","Y7wcNGrDQJ"],"dependent_operators":["vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"↹⩛-305","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1586","layer":2},{"info":"number node, value=3010","layer":2},{"info":"compute binary expreesion, left_input=1586, right_input=3010, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-283","layer":1},{"info":"compute unary expreesion, input=-283, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":0}],"base":6,"result_base":6,"text":"⋣(↹⩛11202⩵∡↹⩛21534)=↹⩛-305","reverse_text":"↹⩛-305=⋣(↹⩛11202⩵∡↹⩛21534)","cot":[{"info":"↹⩛11202⩵∡↹⩛21534=↹⩛-1151","layer":1},{"info":"⋣↹⩛-1151=↹⩛-305","layer":0}]}
{"id":573,"expression_no_base_symbol":"$1688$⪘⫢$5462$≭(≪$3071$)","expression":"↹⩛11452⪘⫢↹⩛41142≭(≪↹⩛22115)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":57,"operation_count":3,"complexity_ratio":19.0,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1688,"base":6},"right_expr":{"type":"numeric_atoms","value":5462,"base":6}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":3071,"base":6}}},"used_operators":["rxpJgHHUmx","oacrs7FA3X","Qtd6bqUJcN"],"dependent_operators":["AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1688","layer":2},{"info":"number node, value=5462","layer":2},{"info":"compute binary expreesion, left_input=1688, right_input=5462, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3252","layer":1},{"info":"number node, value=3071","layer":2},{"info":"compute unary expreesion, input=3071, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":1},{"info":"compute binary expreesion, left_input=3252, right_input=913, 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":6,"result_base":6,"text":"↹⩛11452⪘⫢↹⩛41142≭(≪↹⩛22115)=NaN","reverse_text":"NaN=↹⩛11452⪘⫢↹⩛41142≭(≪↹⩛22115)","cot":[{"info":"↹⩛11452⪘⫢↹⩛41142=↹⩛23020","layer":1},{"info":"≪↹⩛22115=↹⩛4121","layer":1},{"info":"↹⩛23020≭↹⩛4121=NaN","layer":0}]}
{"id":574,"expression_no_base_symbol":"($1762$∷$1583$)⊲⩕⊾($1356$∌↝$1932$)","expression":"(↹⩛12054∷↹⩛11155)⊲⩕⊾(↹⩛10140∌↝↹⩛12540)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":47,"operation_count":3,"complexity_ratio":15.666666666666666,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1762,"base":6},"right_expr":{"type":"numeric_atoms","value":1583,"base":6}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1356,"base":6},"right_expr":{"type":"numeric_atoms","value":1932,"base":6}}},"used_operators":["DmTXOeWf9t","D3AQDKkPcf","9Isq31Ruls"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","NTOWxs364D","7j4O788W3g","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"↹⩛-205434","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1762","layer":2},{"info":"number node, value=1583","layer":2},{"info":"compute binary expreesion, left_input=1762, right_input=1583, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1583","layer":1},{"info":"number node, value=1356","layer":2},{"info":"number node, value=1932","layer":2},{"info":"compute binary expreesion, left_input=1356, right_input=1932, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1583, right_input=0, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-16798","layer":0}],"base":6,"result_base":6,"text":"(↹⩛12054∷↹⩛11155)⊲⩕⊾(↹⩛10140∌↝↹⩛12540)=↹⩛-205434","reverse_text":"↹⩛-205434=(↹⩛12054∷↹⩛11155)⊲⩕⊾(↹⩛10140∌↝↹⩛12540)","cot":[{"info":"↹⩛12054∷↹⩛11155=↹⩛11155","layer":1},{"info":"↹⩛10140∌↝↹⩛12540=↹⩛0","layer":1},{"info":"↹⩛11155⊲⩕⊾↹⩛0=↹⩛-205434","layer":0}]}
{"id":575,"expression_no_base_symbol":"$1825$≃$1658$-$2211$⪬$6027$","expression":"↹⩛12241≃↹⩛11402-↹⩛14123⪬↹⩛43523","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":589,"operation_count":3,"complexity_ratio":196.33333333333334,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1825,"base":6},"right_expr":{"type":"numeric_atoms","value":1658,"base":6}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2211,"base":6},"right_expr":{"type":"numeric_atoms","value":6027,"base":6}}},"used_operators":["rysDP5nf3Z","YbVcJGFEVW","Ez1Nq5fNfI"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"↹⩛-103410","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1825","layer":2},{"info":"number node, value=1658","layer":2},{"info":"compute binary expreesion, left_input=1825, right_input=1658, 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=-7340","layer":1},{"info":"number node, value=2211","layer":2},{"info":"number node, value=6027","layer":2},{"info":"compute binary expreesion, left_input=2211, right_input=6027, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=-7340, right_input=1234, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-8574","layer":0}],"base":6,"result_base":6,"text":"↹⩛12241≃↹⩛11402-↹⩛14123⪬↹⩛43523=↹⩛-103410","reverse_text":"↹⩛-103410=↹⩛12241≃↹⩛11402-↹⩛14123⪬↹⩛43523","cot":[{"info":"↹⩛12241≃↹⩛11402=↹⩛-53552","layer":1},{"info":"↹⩛14123⪬↹⩛43523=↹⩛5414","layer":1},{"info":"↹⩛-53552-↹⩛5414=↹⩛-103410","layer":0}]}
{"id":576,"expression_no_base_symbol":"⊑($1884$∷$2835$)","expression":"⊑(↹⩛12420∷↹⩛21043)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":411,"operation_count":2,"complexity_ratio":205.5,"tree":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1884,"base":6},"right_expr":{"type":"numeric_atoms","value":2835,"base":6}}},"used_operators":["IkUmn0D7oy","D3AQDKkPcf"],"dependent_operators":["oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"↹⩛520","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1884","layer":2},{"info":"number node, value=2835","layer":2},{"info":"compute binary expreesion, left_input=1884, right_input=2835, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2835","layer":1},{"info":"compute unary expreesion, input=2835, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":0}],"base":6,"result_base":6,"text":"⊑(↹⩛12420∷↹⩛21043)=↹⩛520","reverse_text":"↹⩛520=⊑(↹⩛12420∷↹⩛21043)","cot":[{"info":"↹⩛12420∷↹⩛21043=↹⩛21043","layer":1},{"info":"⊑↹⩛21043=↹⩛520","layer":0}]}
{"id":577,"expression_no_base_symbol":"(⨂⪏⇭$1520$)≬⋮$7921$⊬⨰$9482$","expression":"(⨂⪏⇭↹⩛11012)≬⋮↹⩛100401⊬⨰↹⩛111522","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":38,"operation_count":3,"complexity_ratio":12.666666666666666,"tree":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":1520,"base":6}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":7921,"base":6},"right_expr":{"type":"numeric_atoms","value":9482,"base":6}}},"used_operators":["kbkesczE7y","AYdpE9sXAk","s3Fd5m9Dh2"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"↹⩛4004","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1520","layer":2},{"info":"compute unary expreesion, input=1520, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=3581","layer":1},{"info":"number node, value=7921","layer":2},{"info":"number node, value=9482","layer":2},{"info":"compute binary expreesion, left_input=7921, right_input=9482, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=44793","layer":1},{"info":"compute binary expreesion, left_input=3581, right_input=44793, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":0}],"base":6,"result_base":6,"text":"(⨂⪏⇭↹⩛11012)≬⋮↹⩛100401⊬⨰↹⩛111522=↹⩛4004","reverse_text":"↹⩛4004=(⨂⪏⇭↹⩛11012)≬⋮↹⩛100401⊬⨰↹⩛111522","cot":[{"info":"⨂⪏⇭↹⩛11012=↹⩛24325","layer":1},{"info":"↹⩛100401⊬⨰↹⩛111522=↹⩛543213","layer":1},{"info":"↹⩛24325≬⋮↹⩛543213=↹⩛4004","layer":0}]}
{"id":578,"expression_no_base_symbol":"(≪$1750$)⫁⪎$4158$∘$7353$","expression":"(≪↹⩛12034)⫁⪎↹⩛31130∘↹⩛54013","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":52,"operation_count":3,"complexity_ratio":17.333333333333332,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":1750,"base":6}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":4158,"base":6},"right_expr":{"type":"numeric_atoms","value":7353,"base":6}}},"used_operators":["xRrnTEsQ6j","Qtd6bqUJcN","Z5m6OM72h2"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","eH2TOUuTDT","rysDP5nf3Z"],"result":"↹⩛-54135","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1750","layer":2},{"info":"compute unary expreesion, input=1750, 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=4158","layer":2},{"info":"number node, value=7353","layer":2},{"info":"compute binary expreesion, left_input=4158, right_input=7353, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=8316","layer":1},{"info":"compute binary expreesion, left_input=913, right_input=8316, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-7403","layer":0}],"base":6,"result_base":6,"text":"(≪↹⩛12034)⫁⪎↹⩛31130∘↹⩛54013=↹⩛-54135","reverse_text":"↹⩛-54135=(≪↹⩛12034)⫁⪎↹⩛31130∘↹⩛54013","cot":[{"info":"≪↹⩛12034=↹⩛4121","layer":1},{"info":"↹⩛31130∘↹⩛54013=↹⩛102300","layer":1},{"info":"↹⩛4121⫁⪎↹⩛102300=↹⩛-54135","layer":0}]}
{"id":579,"expression_no_base_symbol":"$1525$⫘$5221$⇍⊗(⪫⨮⊛$9336$)","expression":"↹⩛11021⫘↹⩛40101⇍⊗(⪫⨮⊛↹⩛111120)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2833186,"operation_count":3,"complexity_ratio":944395.3333333334,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1525,"base":6},"right_expr":{"type":"numeric_atoms","value":5221,"base":6}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":9336,"base":6}}},"used_operators":["5uvYHDjeKN","48vC8HMD2b","w5FWba1tyO"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1525","layer":2},{"info":"number node, value=5221","layer":2},{"info":"compute binary expreesion, left_input=1525, right_input=5221, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1797805","layer":1},{"info":"number node, value=9336","layer":2},{"info":"compute unary expreesion, input=9336, 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=1797805, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛11021⫘↹⩛40101⇍⊗(⪫⨮⊛↹⩛111120)=NaN","reverse_text":"NaN=↹⩛11021⫘↹⩛40101⇍⊗(⪫⨮⊛↹⩛111120)","cot":[{"info":"↹⩛11021⫘↹⩛40101=↹⩛102311101","layer":1},{"info":"⪫⨮⊛↹⩛111120=NaN","layer":1},{"info":"↹⩛102311101⇍⊗NaN=NaN","layer":0}]}
{"id":580,"expression_no_base_symbol":"(⨆≐≲$9311$)⊍⩺⋍($8348$∽$3762$)","expression":"(⨆≐≲↹⩛111035)⊍⩺⋍(↹⩛102352∽↹⩛25230)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":340,"operation_count":3,"complexity_ratio":113.33333333333333,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":9311,"base":6}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":8348,"base":6},"right_expr":{"type":"numeric_atoms","value":3762,"base":6}}},"used_operators":["OXDGMFPWZM","Bi9z9uYZqW","y4ImoPnbV5"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","NTOWxs364D","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=9311","layer":2},{"info":"compute unary expreesion, input=9311, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=101566104","layer":1},{"info":"number node, value=8348","layer":2},{"info":"number node, value=3762","layer":2},{"info":"compute binary expreesion, left_input=8348, right_input=3762, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-52848","layer":1},{"info":"compute binary expreesion, left_input=101566104, right_input=-52848, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⨆≐≲↹⩛111035)⊍⩺⋍(↹⩛102352∽↹⩛25230)=NaN","reverse_text":"NaN=(⨆≐≲↹⩛111035)⊍⩺⋍(↹⩛102352∽↹⩛25230)","cot":[{"info":"⨆≐≲↹⩛111035=↹⩛14024525240","layer":1},{"info":"↹⩛102352∽↹⩛25230=↹⩛-1044400","layer":1},{"info":"↹⩛14024525240⊍⩺⋍↹⩛-1044400=NaN","layer":0}]}
{"id":581,"expression_no_base_symbol":"($3626$⋷$1804$)↺($5032$⫃⨇$1846$)","expression":"(↹⩛24442⋷↹⩛12204)↺(↹⩛35144⫃⨇↹⩛12314)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":17,"operation_count":3,"complexity_ratio":5.666666666666667,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3626,"base":6},"right_expr":{"type":"numeric_atoms","value":1804,"base":6}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":5032,"base":6},"right_expr":{"type":"numeric_atoms","value":1846,"base":6}}},"used_operators":["7j4O788W3g","23Mk6UjR3U","09Ly4LVMIf"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"↹⩛-54200","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3626","layer":2},{"info":"number node, value=1804","layer":2},{"info":"compute binary expreesion, left_input=3626, right_input=1804, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-18","layer":1},{"info":"number node, value=5032","layer":2},{"info":"number node, value=1846","layer":2},{"info":"compute binary expreesion, left_input=5032, right_input=1846, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-7416","layer":1},{"info":"compute binary expreesion, left_input=-18, right_input=-7416, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-7416","layer":0}],"base":6,"result_base":6,"text":"(↹⩛24442⋷↹⩛12204)↺(↹⩛35144⫃⨇↹⩛12314)=↹⩛-54200","reverse_text":"↹⩛-54200=(↹⩛24442⋷↹⩛12204)↺(↹⩛35144⫃⨇↹⩛12314)","cot":[{"info":"↹⩛24442⋷↹⩛12204=↹⩛-30","layer":1},{"info":"↹⩛35144⫃⨇↹⩛12314=↹⩛-54200","layer":1},{"info":"↹⩛-30↺↹⩛-54200=↹⩛-54200","layer":0}]}
{"id":582,"expression_no_base_symbol":"$4747$∺≝⩲$1259$⫲⨊","expression":"↹⩛33551∺≝⩲↹⩛5455⫲⨊","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":30,"operation_count":2,"complexity_ratio":15.0,"tree":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":4747,"base":6},"right_expr":{"type":"numeric_atoms","value":1259,"base":6}}},"used_operators":["CArV6hThFE","KPf6cnQVty"],"dependent_operators":["WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"↹⩛11155","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4747","layer":2},{"info":"number node, value=1259","layer":2},{"info":"compute binary expreesion, left_input=4747, right_input=1259, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=1583","layer":0}],"base":6,"result_base":6,"text":"↹⩛33551∺≝⩲↹⩛5455⫲⨊=↹⩛11155","reverse_text":"↹⩛11155=↹⩛33551∺≝⩲↹⩛5455⫲⨊","cot":[{"info":"↹⩛33551∺≝⩲↹⩛5455=↹⩛424","layer":1},{"info":"↹⩛424⫲⨊=↹⩛11155","layer":0}]}
{"id":583,"expression_no_base_symbol":"$5196$↳≱$1161$⋥⋵⩄($4235$⊹∫⫚$1913$)","expression":"↹⩛40020↳≱↹⩛5213⋥⋵⩄(↹⩛31335⊹∫⫚↹⩛12505)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":137,"operation_count":3,"complexity_ratio":45.666666666666664,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":5196,"base":6},"right_expr":{"type":"numeric_atoms","value":1161,"base":6}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":4235,"base":6},"right_expr":{"type":"numeric_atoms","value":1913,"base":6}}},"used_operators":["7t3wd0Fuz7","JwTKLfZU96","uWAJUKEvyW"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"↹⩛305","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5196","layer":2},{"info":"number node, value=1161","layer":2},{"info":"compute binary expreesion, left_input=5196, right_input=1161, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=4235","layer":2},{"info":"number node, value=1913","layer":2},{"info":"compute binary expreesion, left_input=4235, right_input=1913, 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":1},{"info":"compute binary expreesion, left_input=0, right_input=-268, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":0}],"base":6,"result_base":6,"text":"↹⩛40020↳≱↹⩛5213⋥⋵⩄(↹⩛31335⊹∫⫚↹⩛12505)=↹⩛305","reverse_text":"↹⩛305=↹⩛40020↳≱↹⩛5213⋥⋵⩄(↹⩛31335⊹∫⫚↹⩛12505)","cot":[{"info":"↹⩛40020↳≱↹⩛5213=↹⩛0","layer":1},{"info":"↹⩛31335⊹∫⫚↹⩛12505=↹⩛-1124","layer":1},{"info":"↹⩛0⋥⋵⩄↹⩛-1124=↹⩛305","layer":0}]}
{"id":584,"expression_no_base_symbol":"($2470$⊭↱$4653$)∌↝(↽≂$3123$)","expression":"(↹⩛15234⊭↱↹⩛33313)∌↝(↽≂↹⩛22243)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":20,"operation_count":3,"complexity_ratio":6.666666666666667,"tree":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2470,"base":6},"right_expr":{"type":"numeric_atoms","value":4653,"base":6}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3123,"base":6}}},"used_operators":["9Isq31Ruls","COABgblf1C","u6S6b8DprG"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛104250","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2470","layer":2},{"info":"number node, value=4653","layer":2},{"info":"compute binary expreesion, left_input=2470, right_input=4653, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4371","layer":1},{"info":"number node, value=3123","layer":2},{"info":"compute unary expreesion, input=3123, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-6246","layer":1},{"info":"compute binary expreesion, left_input=4371, right_input=-6246, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=8742","layer":0}],"base":6,"result_base":6,"text":"(↹⩛15234⊭↱↹⩛33313)∌↝(↽≂↹⩛22243)=↹⩛104250","reverse_text":"↹⩛104250=(↹⩛15234⊭↱↹⩛33313)∌↝(↽≂↹⩛22243)","cot":[{"info":"↹⩛15234⊭↱↹⩛33313=↹⩛32123","layer":1},{"info":"↽≂↹⩛22243=↹⩛-44530","layer":1},{"info":"↹⩛32123∌↝↹⩛-44530=↹⩛104250","layer":0}]}
{"id":585,"expression_no_base_symbol":"$2143$⫣⪄⊒$5641$↬$1844$⇷$1770$","expression":"↹⩛13531⫣⪄⊒↹⩛42041↬↹⩛12312⇷↹⩛12110","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":25851,"operation_count":3,"complexity_ratio":8617.0,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2143,"base":6},"right_expr":{"type":"numeric_atoms","value":5641,"base":6}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1844,"base":6},"right_expr":{"type":"numeric_atoms","value":1770,"base":6}}},"used_operators":["B5M0gjZbta","RabNbG55vr","mp7IySMOzn"],"dependent_operators":["rGHVDoGpnC","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2143","layer":2},{"info":"number node, value=5641","layer":2},{"info":"compute binary expreesion, left_input=2143, right_input=5641, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-30072","layer":1},{"info":"number node, value=1844","layer":2},{"info":"number node, value=1770","layer":2},{"info":"compute binary expreesion, left_input=1844, right_input=1770, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3540","layer":1},{"info":"compute binary expreesion, left_input=-30072, right_input=3540, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬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":6,"result_base":6,"text":"↹⩛13531⫣⪄⊒↹⩛42041↬↹⩛12312⇷↹⩛12110=NaN","reverse_text":"NaN=↹⩛13531⫣⪄⊒↹⩛42041↬↹⩛12312⇷↹⩛12110","cot":[{"info":"↹⩛13531⫣⪄⊒↹⩛42041=↹⩛-351120","layer":1},{"info":"↹⩛12312⇷↹⩛12110=↹⩛24220","layer":1},{"info":"↹⩛-351120↬↹⩛24220=NaN","layer":0}]}
{"id":586,"expression_no_base_symbol":"$4201$↞⋁$1123$⫔⩽⩺$4388$⫰⋱$3848$","expression":"↹⩛31241↞⋁↹⩛5111⫔⩽⩺↹⩛32152⫰⋱↹⩛25452","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":212,"operation_count":3,"complexity_ratio":70.66666666666667,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":4201,"base":6},"right_expr":{"type":"numeric_atoms","value":1123,"base":6}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":4388,"base":6},"right_expr":{"type":"numeric_atoms","value":3848,"base":6}}},"used_operators":["i9eR4S00cU","RqrPlJkxDo","6o9Blt3TJ6"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4201","layer":2},{"info":"number node, value=1123","layer":2},{"info":"compute binary expreesion, left_input=4201, right_input=1123, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"number node, value=4388","layer":2},{"info":"number node, value=3848","layer":2},{"info":"compute binary expreesion, left_input=4388, right_input=3848, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-4355","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4355, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛31241↞⋁↹⩛5111⫔⩽⩺↹⩛32152⫰⋱↹⩛25452=NaN","reverse_text":"NaN=↹⩛31241↞⋁↹⩛5111⫔⩽⩺↹⩛32152⫰⋱↹⩛25452","cot":[{"info":"↹⩛31241↞⋁↹⩛5111=NaN","layer":1},{"info":"↹⩛32152⫰⋱↹⩛25452=↹⩛-32055","layer":1},{"info":"NaN⫔⩽⩺↹⩛-32055=NaN","layer":0}]}
{"id":587,"expression_no_base_symbol":"⊤⊝($1209$≃⋄)","expression":"⊤⊝(↹⩛5333≃⋄)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":25,"operation_count":2,"complexity_ratio":12.5,"tree":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":1209,"base":6}}},"used_operators":["rXAclfmB4M","aN9a90urxU"],"dependent_operators":["sdazOOVcIp","uFcxV4UQCh","jLgFTUHLKL"],"result":"↹⩛1022","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1209","layer":2},{"info":"compute unary expreesion, input=1209, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":1},{"info":"compute unary expreesion, input=764, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=230","layer":0}],"base":6,"result_base":6,"text":"⊤⊝(↹⩛5333≃⋄)=↹⩛1022","reverse_text":"↹⩛1022=⊤⊝(↹⩛5333≃⋄)","cot":[{"info":"↹⩛5333≃⋄=↹⩛3312","layer":1},{"info":"⊤⊝↹⩛3312=↹⩛1022","layer":0}]}
{"id":588,"expression_no_base_symbol":"($4808$≓∲$1737$)≚⊃≕($1027$⨭⪣$1319$)","expression":"(↹⩛34132≓∲↹⩛12013)≚⊃≕(↹⩛4431⨭⪣↹⩛10035)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":107,"operation_count":3,"complexity_ratio":35.666666666666664,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":4808,"base":6},"right_expr":{"type":"numeric_atoms","value":1737,"base":6}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1027,"base":6},"right_expr":{"type":"numeric_atoms","value":1319,"base":6}}},"used_operators":["Bmrmz2XGnR","s1XTVnmDOJ","kn8WO9XteQ"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"↹⩛4101434","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4808","layer":2},{"info":"number node, value=1737","layer":2},{"info":"compute binary expreesion, left_input=4808, right_input=1737, 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=48863","layer":1},{"info":"number node, value=1027","layer":2},{"info":"number node, value=1319","layer":2},{"info":"compute binary expreesion, left_input=1027, right_input=1319, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-252","layer":1},{"info":"compute binary expreesion, left_input=48863, right_input=-252, 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=194782","layer":0}],"base":6,"result_base":6,"text":"(↹⩛34132≓∲↹⩛12013)≚⊃≕(↹⩛4431⨭⪣↹⩛10035)=↹⩛4101434","reverse_text":"↹⩛4101434=(↹⩛34132≓∲↹⩛12013)≚⊃≕(↹⩛4431⨭⪣↹⩛10035)","cot":[{"info":"↹⩛34132≓∲↹⩛12013=↹⩛1014115","layer":1},{"info":"↹⩛4431⨭⪣↹⩛10035=↹⩛-1100","layer":1},{"info":"↹⩛1014115≚⊃≕↹⩛-1100=↹⩛4101434","layer":0}]}
{"id":589,"expression_no_base_symbol":"(∮$1089$)⋝⋈⪟$1179$⪶≀⋏$3148$","expression":"(∮↹⩛5013)⋝⋈⪟↹⩛5243⪶≀⋏↹⩛22324","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":323,"operation_count":3,"complexity_ratio":107.66666666666667,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":1089,"base":6}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1179,"base":6},"right_expr":{"type":"numeric_atoms","value":3148,"base":6}}},"used_operators":["2DDjHMKMc0","CqXKPLVYql","zR4jO40bMj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1089","layer":2},{"info":"compute unary expreesion, input=1089, 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=1179","layer":2},{"info":"number node, value=3148","layer":2},{"info":"compute binary expreesion, left_input=1179, right_input=3148, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-10065","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-10065, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=67","layer":0}],"base":6,"result_base":6,"text":"(∮↹⩛5013)⋝⋈⪟↹⩛5243⪶≀⋏↹⩛22324=↹⩛151","reverse_text":"↹⩛151=(∮↹⩛5013)⋝⋈⪟↹⩛5243⪶≀⋏↹⩛22324","cot":[{"info":"∮↹⩛5013=↹⩛151","layer":1},{"info":"↹⩛5243⪶≀⋏↹⩛22324=↹⩛-114333","layer":1},{"info":"↹⩛151⋝⋈⪟↹⩛-114333=↹⩛151","layer":0}]}
{"id":590,"expression_no_base_symbol":"(⋗⩴⪓$5505$)⋾⨃∁$7189$⪛$3326$","expression":"(⋗⩴⪓↹⩛41253)⋾⨃∁↹⩛53141⪛↹⩛23222","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5582,"operation_count":3,"complexity_ratio":1860.6666666666667,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":5505,"base":6}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":7189,"base":6},"right_expr":{"type":"numeric_atoms","value":3326,"base":6}}},"used_operators":["212REbPD9h","nOKPl9n5zu","uFcxV4UQCh"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5505","layer":2},{"info":"compute unary expreesion, input=5505, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-4592","layer":1},{"info":"number node, value=7189","layer":2},{"info":"number node, value=3326","layer":2},{"info":"compute binary expreesion, left_input=7189, right_input=3326, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=537","layer":1},{"info":"compute binary expreesion, left_input=-4592, right_input=537, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":0}],"base":6,"result_base":6,"text":"(⋗⩴⪓↹⩛41253)⋾⨃∁↹⩛53141⪛↹⩛23222=↹⩛424","reverse_text":"↹⩛424=(⋗⩴⪓↹⩛41253)⋾⨃∁↹⩛53141⪛↹⩛23222","cot":[{"info":"⋗⩴⪓↹⩛41253=↹⩛-33132","layer":1},{"info":"↹⩛53141⪛↹⩛23222=↹⩛2253","layer":1},{"info":"↹⩛-33132⋾⨃∁↹⩛2253=↹⩛424","layer":0}]}
{"id":591,"expression_no_base_symbol":"$2522$⋛$9086$⨭⪣$5336$≚⊃≕$7731$","expression":"↹⩛15402⋛↹⩛110022⨭⪣↹⩛40412≚⊃≕↹⩛55443","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":323,"operation_count":3,"complexity_ratio":107.66666666666667,"tree":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2522,"base":6},"right_expr":{"type":"numeric_atoms","value":9086,"base":6}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":5336,"base":6},"right_expr":{"type":"numeric_atoms","value":7731,"base":6}}},"used_operators":["kn8WO9XteQ","YbUVn0Rbpy","Bmrmz2XGnR"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"↹⩛2155123","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2522","layer":2},{"info":"number node, value=9086","layer":2},{"info":"compute binary expreesion, left_input=2522, right_input=9086, 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=-109494","layer":1},{"info":"number node, value=5336","layer":2},{"info":"number node, value=7731","layer":2},{"info":"compute binary expreesion, left_input=5336, right_input=7731, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-109494, right_input=67, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=108699","layer":0}],"base":6,"result_base":6,"text":"↹⩛15402⋛↹⩛110022⨭⪣↹⩛40412≚⊃≕↹⩛55443=↹⩛2155123","reverse_text":"↹⩛2155123=↹⩛15402⋛↹⩛110022⨭⪣↹⩛40412≚⊃≕↹⩛55443","cot":[{"info":"↹⩛15402⋛↹⩛110022=↹⩛-2202530","layer":1},{"info":"↹⩛40412≚⊃≕↹⩛55443=↹⩛151","layer":1},{"info":"↹⩛-2202530⨭⪣↹⩛151=↹⩛2155123","layer":0}]}
{"id":592,"expression_no_base_symbol":"($2448$↙$2485$)⫿","expression":"(↹⩛15200↙↹⩛15301)⫿","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2491,"operation_count":2,"complexity_ratio":1245.5,"tree":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2448,"base":6},"right_expr":{"type":"numeric_atoms","value":2485,"base":6}}},"used_operators":["9tKT6PmtkH","yyfyN0ffXY"],"dependent_operators":["DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","tmPS8pqC7x","DpFCA1CohY"],"result":"↹⩛153010","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2448","layer":2},{"info":"number node, value=2485","layer":2},{"info":"compute binary expreesion, left_input=2448, right_input=2485, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7455","layer":1},{"info":"compute unary expreesion, input=-7455, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=14910","layer":0}],"base":6,"result_base":6,"text":"(↹⩛15200↙↹⩛15301)⫿=↹⩛153010","reverse_text":"↹⩛153010=(↹⩛15200↙↹⩛15301)⫿","cot":[{"info":"↹⩛15200↙↹⩛15301=↹⩛-54303","layer":1},{"info":"↹⩛-54303⫿=↹⩛153010","layer":0}]}
{"id":593,"expression_no_base_symbol":"($1175$⋥≓≎$1744$)⨻⩈⩔$2904$⩘$4271$","expression":"(↹⩛5235⋥≓≎↹⩛12024)⨻⩈⩔↹⩛21240⩘↹⩛31435","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":189,"operation_count":3,"complexity_ratio":63.0,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1175,"base":6},"right_expr":{"type":"numeric_atoms","value":1744,"base":6}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2904,"base":6},"right_expr":{"type":"numeric_atoms","value":4271,"base":6}}},"used_operators":["nEsXyWgiOK","Qy55tPpLXF","cHh1gJQ2o6"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"↹⩛115555","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1175","layer":2},{"info":"number node, value=1744","layer":2},{"info":"compute binary expreesion, left_input=1175, right_input=1744, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2346","layer":1},{"info":"number node, value=2904","layer":2},{"info":"number node, value=4271","layer":2},{"info":"compute binary expreesion, left_input=2904, right_input=4271, 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=2346, right_input=160, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=10367","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5235⋥≓≎↹⩛12024)⨻⩈⩔↹⩛21240⩘↹⩛31435=↹⩛115555","reverse_text":"↹⩛115555=(↹⩛5235⋥≓≎↹⩛12024)⨻⩈⩔↹⩛21240⩘↹⩛31435","cot":[{"info":"↹⩛5235⋥≓≎↹⩛12024=↹⩛14510","layer":1},{"info":"↹⩛21240⩘↹⩛31435=↹⩛424","layer":1},{"info":"↹⩛14510⨻⩈⩔↹⩛424=↹⩛115555","layer":0}]}
{"id":594,"expression_no_base_symbol":"($1038$⪉⨛$4294$)⪗","expression":"(↹⩛4450⪉⨛↹⩛31514)⪗","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":988,"operation_count":2,"complexity_ratio":494.0,"tree":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1038,"base":6},"right_expr":{"type":"numeric_atoms","value":4294,"base":6}}},"used_operators":["VEQNXA0ZBg","EWw2JM7wp4"],"dependent_operators":["dWAJyo7jo9","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1038","layer":2},{"info":"number node, value=4294","layer":2},{"info":"compute binary expreesion, left_input=1038, right_input=4294, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-965","layer":1},{"info":"compute unary expreesion, input=-965, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛4450⪉⨛↹⩛31514)⪗=NaN","reverse_text":"NaN=(↹⩛4450⪉⨛↹⩛31514)⪗","cot":[{"info":"↹⩛4450⪉⨛↹⩛31514=↹⩛-4245","layer":1},{"info":"↹⩛-4245⪗=NaN","layer":0}]}
{"id":595,"expression_no_base_symbol":"$2692$⫘$3030$⩨(⪲⇎$1561$)","expression":"↹⩛20244⫘↹⩛22010⩨(⪲⇎↹⩛11121)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2915,"operation_count":3,"complexity_ratio":971.6666666666666,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2692,"base":6},"right_expr":{"type":"numeric_atoms","value":3030,"base":6}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1561,"base":6}}},"used_operators":["2DlMacCsIx","48vC8HMD2b","XPYlsWDdGa"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2692","layer":2},{"info":"number node, value=3030","layer":2},{"info":"compute binary expreesion, left_input=2692, right_input=3030, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=3170197","layer":1},{"info":"number node, value=1561","layer":2},{"info":"compute unary expreesion, input=1561, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3122","layer":1},{"info":"compute binary expreesion, left_input=3170197, right_input=3122, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"↹⩛20244⫘↹⩛22010⩨(⪲⇎↹⩛11121)=↹⩛0","reverse_text":"↹⩛0=↹⩛20244⫘↹⩛22010⩨(⪲⇎↹⩛11121)","cot":[{"info":"↹⩛20244⫘↹⩛22010=↹⩛151540501","layer":1},{"info":"⪲⇎↹⩛11121=↹⩛22242","layer":1},{"info":"↹⩛151540501⩨↹⩛22242=↹⩛0","layer":0}]}
{"id":596,"expression_no_base_symbol":"($2542$⨸⪁$4610$)⩒⫫(≻⋜$4486$)","expression":"(↹⩛15434⨸⪁↹⩛33202)⩒⫫(≻⋜↹⩛32434)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26791,"operation_count":3,"complexity_ratio":8930.333333333334,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2542,"base":6},"right_expr":{"type":"numeric_atoms","value":4610,"base":6}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":4486,"base":6}}},"used_operators":["KFSx94NKJn","g55IO6H4Gj","3tj9sqzovi"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2542","layer":2},{"info":"number node, value=4610","layer":2},{"info":"compute binary expreesion, left_input=2542, right_input=4610, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14304","layer":1},{"info":"number node, value=4486","layer":2},{"info":"compute unary expreesion, input=4486, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=14304, 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":6,"result_base":6,"text":"(↹⩛15434⨸⪁↹⩛33202)⩒⫫(≻⋜↹⩛32434)=NaN","reverse_text":"NaN=(↹⩛15434⨸⪁↹⩛33202)⩒⫫(≻⋜↹⩛32434)","cot":[{"info":"↹⩛15434⨸⪁↹⩛33202=↹⩛150120","layer":1},{"info":"≻⋜↹⩛32434=NaN","layer":1},{"info":"↹⩛150120⩒⫫NaN=NaN","layer":0}]}
{"id":597,"expression_no_base_symbol":"($3696$≣⋋)⩨$7136$∼$4256$","expression":"(↹⩛25040≣⋋)⩨↹⩛53012∼↹⩛31412","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":659,"operation_count":3,"complexity_ratio":219.66666666666666,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":3696,"base":6}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7136,"base":6},"right_expr":{"type":"numeric_atoms","value":4256,"base":6}}},"used_operators":["2DlMacCsIx","Tcnh7f0tEr","DyGG3AbaNP"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3696","layer":2},{"info":"compute unary expreesion, input=3696, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":1},{"info":"number node, value=7136","layer":2},{"info":"number node, value=4256","layer":2},{"info":"compute binary expreesion, left_input=7136, right_input=4256, 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=0, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛25040≣⋋)⩨↹⩛53012∼↹⩛31412=NaN","reverse_text":"NaN=(↹⩛25040≣⋋)⩨↹⩛53012∼↹⩛31412","cot":[{"info":"↹⩛25040≣⋋=↹⩛0","layer":1},{"info":"↹⩛53012∼↹⩛31412=NaN","layer":1},{"info":"↹⩛0⩨NaN=NaN","layer":0}]}
{"id":598,"expression_no_base_symbol":"(∮$4570$)⇴($2155$∠⫱$7097$)","expression":"(∮↹⩛33054)⇴(↹⩛13551∠⫱↹⩛52505)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":331,"operation_count":3,"complexity_ratio":110.33333333333333,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":4570,"base":6}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2155,"base":6},"right_expr":{"type":"numeric_atoms","value":7097,"base":6}}},"used_operators":["4JB6nKBMSY","CqXKPLVYql","QvoQhV0rrE"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"↹⩛15300","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4570","layer":2},{"info":"compute unary expreesion, input=4570, 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=2155","layer":2},{"info":"number node, value=7097","layer":2},{"info":"compute binary expreesion, left_input=2155, right_input=7097, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=1234, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=2484","layer":0}],"base":6,"result_base":6,"text":"(∮↹⩛33054)⇴(↹⩛13551∠⫱↹⩛52505)=↹⩛15300","reverse_text":"↹⩛15300=(∮↹⩛33054)⇴(↹⩛13551∠⫱↹⩛52505)","cot":[{"info":"∮↹⩛33054=↹⩛151","layer":1},{"info":"↹⩛13551∠⫱↹⩛52505=↹⩛5414","layer":1},{"info":"↹⩛151⇴↹⩛5414=↹⩛15300","layer":0}]}
{"id":599,"expression_no_base_symbol":"⨆≐≲(⊬↢$1145$)","expression":"⨆≐≲(⊬↢↹⩛5145)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1313,"operation_count":2,"complexity_ratio":656.5,"tree":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":1145,"base":6}}},"used_operators":["Bi9z9uYZqW","WPoGxAaPR1"],"dependent_operators":["SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA"],"result":"↹⩛111553240","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1145","layer":2},{"info":"compute unary expreesion, input=1145, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":1},{"info":"compute unary expreesion, input=218, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=2052312","layer":0}],"base":6,"result_base":6,"text":"⨆≐≲(⊬↢↹⩛5145)=↹⩛111553240","reverse_text":"↹⩛111553240=⨆≐≲(⊬↢↹⩛5145)","cot":[{"info":"⊬↢↹⩛5145=↹⩛1002","layer":1},{"info":"⨆≐≲↹⩛1002=↹⩛111553240","layer":0}]}
{"id":600,"expression_no_base_symbol":"$2929$⪃⊛⇣$7650$⪭$1821$↓$7354$","expression":"↹⩛21321⪃⊛⇣↹⩛55230⪭↹⩛12233↓↹⩛54014","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":103831,"operation_count":3,"complexity_ratio":34610.333333333336,"tree":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2929,"base":6},"right_expr":{"type":"numeric_atoms","value":7650,"base":6}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1821,"base":6},"right_expr":{"type":"numeric_atoms","value":7354,"base":6}}},"used_operators":["j9kHMeSvPp","rrgAzCduG9","Af076pWI7l"],"dependent_operators":["COABgblf1C","xUOZtlo3hN","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"↹⩛5","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2929","layer":2},{"info":"number node, value=7650","layer":2},{"info":"compute binary expreesion, left_input=2929, right_input=7650, 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=1821","layer":2},{"info":"number node, value=7354","layer":2},{"info":"compute binary expreesion, left_input=1821, right_input=7354, 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=1234, right_input=-134, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":0}],"base":6,"result_base":6,"text":"↹⩛21321⪃⊛⇣↹⩛55230⪭↹⩛12233↓↹⩛54014=↹⩛5","reverse_text":"↹⩛5=↹⩛21321⪃⊛⇣↹⩛55230⪭↹⩛12233↓↹⩛54014","cot":[{"info":"↹⩛21321⪃⊛⇣↹⩛55230=↹⩛5414","layer":1},{"info":"↹⩛12233↓↹⩛54014=↹⩛-342","layer":1},{"info":"↹⩛5414⪭↹⩛-342=↹⩛5","layer":0}]}
{"id":601,"expression_no_base_symbol":"$3270$↓$1958$⊹≧⊝","expression":"↹⩛23050↓↹⩛13022⊹≧⊝","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":27730,"operation_count":2,"complexity_ratio":13865.0,"tree":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3270,"base":6},"right_expr":{"type":"numeric_atoms","value":1958,"base":6}}},"used_operators":["LxFB4K6j0n","Af076pWI7l"],"dependent_operators":["NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"↹⩛2252","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3270","layer":2},{"info":"number node, value=1958","layer":2},{"info":"compute binary expreesion, left_input=3270, right_input=1958, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"compute unary expreesion, input=-134, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=536","layer":0}],"base":6,"result_base":6,"text":"↹⩛23050↓↹⩛13022⊹≧⊝=↹⩛2252","reverse_text":"↹⩛2252=↹⩛23050↓↹⩛13022⊹≧⊝","cot":[{"info":"↹⩛23050↓↹⩛13022=↹⩛-342","layer":1},{"info":"↹⩛-342⊹≧⊝=↹⩛2252","layer":0}]}
{"id":602,"expression_no_base_symbol":"($6823$⇋≉)≝⊿$2206$⫯⪬∳$4478$","expression":"(↹⩛51331⇋≉)≝⊿↹⩛14114⫯⪬∳↹⩛32422","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":29,"operation_count":3,"complexity_ratio":9.666666666666666,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":6823,"base":6}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2206,"base":6},"right_expr":{"type":"numeric_atoms","value":4478,"base":6}}},"used_operators":["OKKcZfAt5B","XIabStNQrY","d7ASUq0ydm"],"dependent_operators":["12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"↹⩛-330055","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6823","layer":2},{"info":"compute unary expreesion, input=6823, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=13548","layer":1},{"info":"number node, value=2206","layer":2},{"info":"number node, value=4478","layer":2},{"info":"compute binary expreesion, left_input=2206, right_input=4478, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=6585","layer":1},{"info":"compute binary expreesion, left_input=13548, right_input=6585, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-27251","layer":0}],"base":6,"result_base":6,"text":"(↹⩛51331⇋≉)≝⊿↹⩛14114⫯⪬∳↹⩛32422=↹⩛-330055","reverse_text":"↹⩛-330055=(↹⩛51331⇋≉)≝⊿↹⩛14114⫯⪬∳↹⩛32422","cot":[{"info":"↹⩛51331⇋≉=↹⩛142420","layer":1},{"info":"↹⩛14114⫯⪬∳↹⩛32422=↹⩛50253","layer":1},{"info":"↹⩛142420≝⊿↹⩛50253=↹⩛-330055","layer":0}]}
{"id":603,"expression_no_base_symbol":"($1702$⫭)⨱∎","expression":"(↹⩛11514⫭)⨱∎","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":13,"operation_count":2,"complexity_ratio":6.5,"tree":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":1702,"base":6}}},"used_operators":["MmTdOpaElr","t4WUHVGj7f"],"dependent_operators":["tifHPKVTfV","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1702","layer":2},{"info":"compute unary expreesion, input=1702, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=5347","layer":1},{"info":"compute unary expreesion, input=5347, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":0}],"base":6,"result_base":6,"text":"(↹⩛11514⫭)⨱∎=↹⩛0","reverse_text":"↹⩛0=(↹⩛11514⫭)⨱∎","cot":[{"info":"↹⩛11514⫭=↹⩛40431","layer":1},{"info":"↹⩛40431⨱∎=↹⩛0","layer":0}]}
{"id":604,"expression_no_base_symbol":"($3436$∺≝⩲$2052$)⪬($2563$⊋$3739$)","expression":"(↹⩛23524∺≝⩲↹⩛13300)⪬(↹⩛15511⊋↹⩛25151)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2880,"operation_count":3,"complexity_ratio":960.0,"tree":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":3436,"base":6},"right_expr":{"type":"numeric_atoms","value":2052,"base":6}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2563,"base":6},"right_expr":{"type":"numeric_atoms","value":3739,"base":6}}},"used_operators":["Ez1Nq5fNfI","KPf6cnQVty","W4tP9CfskL"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"↹⩛5414","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3436","layer":2},{"info":"number node, value=2052","layer":2},{"info":"compute binary expreesion, left_input=3436, right_input=2052, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"number node, value=2563","layer":2},{"info":"number node, value=3739","layer":2},{"info":"compute binary expreesion, left_input=2563, right_input=3739, 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=-33277716","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-33277716, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":6,"result_base":6,"text":"(↹⩛23524∺≝⩲↹⩛13300)⪬(↹⩛15511⊋↹⩛25151)=↹⩛5414","reverse_text":"↹⩛5414=(↹⩛23524∺≝⩲↹⩛13300)⪬(↹⩛15511⊋↹⩛25151)","cot":[{"info":"↹⩛23524∺≝⩲↹⩛13300=↹⩛424","layer":1},{"info":"↹⩛15511⊋↹⩛25151=↹⩛-3145131300","layer":1},{"info":"↹⩛424⪬↹⩛-3145131300=↹⩛5414","layer":0}]}
{"id":605,"expression_no_base_symbol":"⋼∭⪍($1305$/$1408$)","expression":"⋼∭⪍(↹⩛10013/↹⩛10304)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":2,"complexity_ratio":5.5,"tree":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1305,"base":6},"right_expr":{"type":"numeric_atoms","value":1408,"base":6}}},"used_operators":["DbCuESL50I","XhwjNDsVaA"],"dependent_operators":["e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","rysDP5nf3Z"],"result":"↹⩛4214","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1305","layer":2},{"info":"number node, value=1408","layer":2},{"info":"compute binary expreesion, left_input=1305, right_input=1408, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"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":0}],"base":6,"result_base":6,"text":"⋼∭⪍(↹⩛10013/↹⩛10304)=↹⩛4214","reverse_text":"↹⩛4214=⋼∭⪍(↹⩛10013/↹⩛10304)","cot":[{"info":"↹⩛10013/↹⩛10304=↹⩛0","layer":1},{"info":"⋼∭⪍↹⩛0=↹⩛4214","layer":0}]}
{"id":606,"expression_no_base_symbol":"$4606$⊋≦⊧$2106$⩭","expression":"↹⩛33154⊋≦⊧↹⩛13430⩭","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":104187,"operation_count":2,"complexity_ratio":52093.5,"tree":{"type":"unary","operator":"⩭","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":4606,"base":6},"right_expr":{"type":"numeric_atoms","value":2106,"base":6}}},"used_operators":["yIPP7u6H5x","oRDoc9rAEX"],"dependent_operators":["nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4606","layer":2},{"info":"number node, value=2106","layer":2},{"info":"compute binary expreesion, left_input=4606, right_input=2106, 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=-3972","layer":1},{"info":"compute unary expreesion, input=-3972, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛33154⊋≦⊧↹⩛13430⩭=NaN","reverse_text":"NaN=↹⩛33154⊋≦⊧↹⩛13430⩭","cot":[{"info":"↹⩛33154⊋≦⊧↹⩛13430=↹⩛-30220","layer":1},{"info":"↹⩛-30220⩭=NaN","layer":0}]}
{"id":607,"expression_no_base_symbol":"∓⪦($1675$↺$1680$)","expression":"∓⪦(↹⩛11431↺↹⩛11440)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":29,"operation_count":2,"complexity_ratio":14.5,"tree":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1675,"base":6},"right_expr":{"type":"numeric_atoms","value":1680,"base":6}}},"used_operators":["D309nIvmXG","7j4O788W3g"],"dependent_operators":["P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛5520","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1675","layer":2},{"info":"number node, value=1680","layer":2},{"info":"compute binary expreesion, left_input=1675, right_input=1680, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1680","layer":1},{"info":"compute unary expreesion, input=1680, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=1272","layer":0}],"base":6,"result_base":6,"text":"∓⪦(↹⩛11431↺↹⩛11440)=↹⩛5520","reverse_text":"↹⩛5520=∓⪦(↹⩛11431↺↹⩛11440)","cot":[{"info":"↹⩛11431↺↹⩛11440=↹⩛11440","layer":1},{"info":"∓⪦↹⩛11440=↹⩛5520","layer":0}]}
{"id":608,"expression_no_base_symbol":"($3077$⨘⋶⪀)⫘($5701$∠⫱$1128$)","expression":"(↹⩛22125⨘⋶⪀)⫘(↹⩛42221∠⫱↹⩛5120)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":161,"operation_count":3,"complexity_ratio":53.666666666666664,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":3077,"base":6}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":5701,"base":6},"right_expr":{"type":"numeric_atoms","value":1128,"base":6}}},"used_operators":["48vC8HMD2b","XVKwrhznBb","QvoQhV0rrE"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3077","layer":2},{"info":"compute unary expreesion, input=3077, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":1},{"info":"number node, value=5701","layer":2},{"info":"number node, value=1128","layer":2},{"info":"compute binary expreesion, left_input=5701, right_input=1128, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛22125⨘⋶⪀)⫘(↹⩛42221∠⫱↹⩛5120)=NaN","reverse_text":"NaN=(↹⩛22125⨘⋶⪀)⫘(↹⩛42221∠⫱↹⩛5120)","cot":[{"info":"↹⩛22125⨘⋶⪀=NaN","layer":1},{"info":"↹⩛42221∠⫱↹⩛5120=↹⩛5414","layer":1},{"info":"NaN⫘↹⩛5414=NaN","layer":0}]}
{"id":609,"expression_no_base_symbol":"↨$2488$⊲⩕⊾$4440$","expression":"↨↹⩛15304⊲⩕⊾↹⩛32320","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":173,"operation_count":2,"complexity_ratio":86.5,"tree":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2488,"base":6},"right_expr":{"type":"numeric_atoms","value":4440,"base":6}}},"used_operators":["jiX4gk2v2Q","DmTXOeWf9t"],"dependent_operators":["rGHVDoGpnC","oZj3VtZNQx","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2488","layer":2},{"info":"number node, value=4440","layer":2},{"info":"compute binary expreesion, left_input=2488, right_input=4440, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-80838","layer":1},{"info":"compute unary expreesion, input=-80838, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↨↹⩛15304⊲⩕⊾↹⩛32320=NaN","reverse_text":"NaN=↨↹⩛15304⊲⩕⊾↹⩛32320","cot":[{"info":"↹⩛15304⊲⩕⊾↹⩛32320=↹⩛-1422130","layer":1},{"info":"↨↹⩛-1422130=NaN","layer":0}]}
{"id":610,"expression_no_base_symbol":"($2854$≳⇉$4187$)⩣⫁∢$1507$∓⋝$3807$","expression":"(↹⩛21114≳⇉↹⩛31215)⩣⫁∢↹⩛10551∓⋝↹⩛25343","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":202284685,"operation_count":3,"complexity_ratio":67428228.33333333,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2854,"base":6},"right_expr":{"type":"numeric_atoms","value":4187,"base":6}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1507,"base":6},"right_expr":{"type":"numeric_atoms","value":3807,"base":6}}},"used_operators":["JDUIKTTSIa","V0kx6qeWkN","PoHhknlbAi"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2854","layer":2},{"info":"number node, value=4187","layer":2},{"info":"compute binary expreesion, left_input=2854, right_input=4187, 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=1507","layer":2},{"info":"number node, value=3807","layer":2},{"info":"compute binary expreesion, left_input=1507, right_input=3807, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛21114≳⇉↹⩛31215)⩣⫁∢↹⩛10551∓⋝↹⩛25343=NaN","reverse_text":"NaN=(↹⩛21114≳⇉↹⩛31215)⩣⫁∢↹⩛10551∓⋝↹⩛25343","cot":[{"info":"↹⩛21114≳⇉↹⩛31215=NaN","layer":1},{"info":"↹⩛10551∓⋝↹⩛25343=↹⩛151","layer":1},{"info":"NaN⩣⫁∢↹⩛151=NaN","layer":0}]}
{"id":611,"expression_no_base_symbol":"⩒∊($4280$⪡$1462$)","expression":"⩒∊(↹⩛31452⪡↹⩛10434)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":22,"operation_count":2,"complexity_ratio":11.0,"tree":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":4280,"base":6},"right_expr":{"type":"numeric_atoms","value":1462,"base":6}}},"used_operators":["qazvmhNBbN","oraRL2iQuh"],"dependent_operators":["AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"↹⩛-2303","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4280","layer":2},{"info":"number node, value=1462","layer":2},{"info":"compute binary expreesion, left_input=4280, right_input=1462, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":1},{"info":"compute unary expreesion, input=107, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-543","layer":0}],"base":6,"result_base":6,"text":"⩒∊(↹⩛31452⪡↹⩛10434)=↹⩛-2303","reverse_text":"↹⩛-2303=⩒∊(↹⩛31452⪡↹⩛10434)","cot":[{"info":"↹⩛31452⪡↹⩛10434=↹⩛255","layer":1},{"info":"⩒∊↹⩛255=↹⩛-2303","layer":0}]}
{"id":612,"expression_no_base_symbol":"($1704$⨭⪣$5683$)⪢$1580$⨥⫆$1586$","expression":"(↹⩛11520⨭⪣↹⩛42151)⪢↹⩛11152⨥⫆↹⩛11202","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3096,"operation_count":3,"complexity_ratio":1032.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1704,"base":6},"right_expr":{"type":"numeric_atoms","value":5683,"base":6}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1580,"base":6},"right_expr":{"type":"numeric_atoms","value":1586,"base":6}}},"used_operators":["dWAJyo7jo9","kn8WO9XteQ","yXekIHxTD4"],"dependent_operators":["k8jYdgA6NY","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1704","layer":2},{"info":"number node, value=5683","layer":2},{"info":"compute binary expreesion, left_input=1704, right_input=5683, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=425","layer":1},{"info":"number node, value=1580","layer":2},{"info":"number node, value=1586","layer":2},{"info":"compute binary expreesion, left_input=1580, right_input=1586, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=3048","layer":1},{"info":"compute binary expreesion, left_input=425, right_input=3048, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛11520⨭⪣↹⩛42151)⪢↹⩛11152⨥⫆↹⩛11202=NaN","reverse_text":"NaN=(↹⩛11520⨭⪣↹⩛42151)⪢↹⩛11152⨥⫆↹⩛11202","cot":[{"info":"↹⩛11520⨭⪣↹⩛42151=↹⩛1545","layer":1},{"info":"↹⩛11152⨥⫆↹⩛11202=↹⩛22040","layer":1},{"info":"↹⩛1545⪢↹⩛22040=NaN","layer":0}]}
{"id":613,"expression_no_base_symbol":"($4434$↬⩅∪)↤⩊($8322$∌↝$4234$)","expression":"(↹⩛32310↬⩅∪)↤⩊(↹⩛102310∌↝↹⩛31334)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":196,"operation_count":3,"complexity_ratio":65.33333333333333,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":4434,"base":6}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":8322,"base":6},"right_expr":{"type":"numeric_atoms","value":4234,"base":6}}},"used_operators":["13rbtpv6ld","VJ330n2nnx","9Isq31Ruls"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4434","layer":2},{"info":"compute unary expreesion, input=4434, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-13302","layer":1},{"info":"number node, value=8322","layer":2},{"info":"number node, value=4234","layer":2},{"info":"compute binary expreesion, left_input=8322, right_input=4234, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-13302, right_input=0, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛32310↬⩅∪)↤⩊(↹⩛102310∌↝↹⩛31334)=NaN","reverse_text":"NaN=(↹⩛32310↬⩅∪)↤⩊(↹⩛102310∌↝↹⩛31334)","cot":[{"info":"↹⩛32310↬⩅∪=↹⩛-141330","layer":1},{"info":"↹⩛102310∌↝↹⩛31334=↹⩛0","layer":1},{"info":"↹⩛-141330↤⩊↹⩛0=NaN","layer":0}]}
{"id":614,"expression_no_base_symbol":"(⇋⊎⋝$1388$)≃($1923$⨐⩸⫘$3575$)","expression":"(⇋⊎⋝↹⩛10232)≃(↹⩛12523⨐⩸⫘↹⩛24315)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1408,"operation_count":3,"complexity_ratio":469.3333333333333,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":1388,"base":6}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1923,"base":6},"right_expr":{"type":"numeric_atoms","value":3575,"base":6}}},"used_operators":["YbVcJGFEVW","CzM2PEoXns","fu6greOZ01"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","dWAJyo7jo9","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1388","layer":2},{"info":"compute unary expreesion, input=1388, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":1},{"info":"number node, value=1923","layer":2},{"info":"number node, value=3575","layer":2},{"info":"compute binary expreesion, left_input=1923, right_input=3575, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = 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":6,"result_base":6,"text":"(⇋⊎⋝↹⩛10232)≃(↹⩛12523⨐⩸⫘↹⩛24315)=NaN","reverse_text":"NaN=(⇋⊎⋝↹⩛10232)≃(↹⩛12523⨐⩸⫘↹⩛24315)","cot":[{"info":"⇋⊎⋝↹⩛10232=NaN","layer":1},{"info":"↹⩛12523⨐⩸⫘↹⩛24315=NaN","layer":1},{"info":"NaN≃NaN=NaN","layer":0}]}
{"id":615,"expression_no_base_symbol":"∡($3971$⩹$6444$)","expression":"∡(↹⩛30215⩹↹⩛45500)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":23,"operation_count":2,"complexity_ratio":11.5,"tree":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":3971,"base":6},"right_expr":{"type":"numeric_atoms","value":6444,"base":6}}},"used_operators":["pRsWfj4Fpp","2Wsdkap16l"],"dependent_operators":["D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"↹⩛-45454","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3971","layer":2},{"info":"number node, value=6444","layer":2},{"info":"compute binary expreesion, left_input=3971, right_input=6444, 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=6442","layer":1},{"info":"compute unary expreesion, input=6442, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-6442","layer":0}],"base":6,"result_base":6,"text":"∡(↹⩛30215⩹↹⩛45500)=↹⩛-45454","reverse_text":"↹⩛-45454=∡(↹⩛30215⩹↹⩛45500)","cot":[{"info":"↹⩛30215⩹↹⩛45500=↹⩛45454","layer":1},{"info":"∡↹⩛45454=↹⩛-45454","layer":0}]}
{"id":616,"expression_no_base_symbol":"$1469$∌$4490$⨻⩈⩔($3162$⊉≛↸$1468$)","expression":"↹⩛10445∌↹⩛32442⨻⩈⩔(↹⩛22350⊉≛↸↹⩛10444)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":94,"operation_count":3,"complexity_ratio":31.333333333333332,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1469,"base":6},"right_expr":{"type":"numeric_atoms","value":4490,"base":6}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3162,"base":6},"right_expr":{"type":"numeric_atoms","value":1468,"base":6}}},"used_operators":["nEsXyWgiOK","8cLx32lpNA","DZ8iAZOCBD"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛-450","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1469","layer":2},{"info":"number node, value=4490","layer":2},{"info":"compute binary expreesion, left_input=1469, right_input=4490, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-4490","layer":1},{"info":"number node, value=3162","layer":2},{"info":"number node, value=1468","layer":2},{"info":"compute binary expreesion, left_input=3162, right_input=1468, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6324","layer":1},{"info":"compute binary expreesion, left_input=-4490, right_input=6324, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":0}],"base":6,"result_base":6,"text":"↹⩛10445∌↹⩛32442⨻⩈⩔(↹⩛22350⊉≛↸↹⩛10444)=↹⩛-450","reverse_text":"↹⩛-450=↹⩛10445∌↹⩛32442⨻⩈⩔(↹⩛22350⊉≛↸↹⩛10444)","cot":[{"info":"↹⩛10445∌↹⩛32442=↹⩛-32442","layer":1},{"info":"↹⩛22350⊉≛↸↹⩛10444=↹⩛45140","layer":1},{"info":"↹⩛-32442⨻⩈⩔↹⩛45140=↹⩛-450","layer":0}]}
{"id":617,"expression_no_base_symbol":"($2271$⫏⊷)⪟⇏($2142$⩒⫫$1920$)","expression":"(↹⩛14303⫏⊷)⪟⇏(↹⩛13530⩒⫫↹⩛12520)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7059,"operation_count":3,"complexity_ratio":2353.0,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":2271,"base":6}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2142,"base":6},"right_expr":{"type":"numeric_atoms","value":1920,"base":6}}},"used_operators":["GODebY97qR","dcShxvzhyw","KFSx94NKJn"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2271","layer":2},{"info":"compute unary expreesion, input=2271, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":1},{"info":"number node, value=2142","layer":2},{"info":"number node, value=1920","layer":2},{"info":"compute binary expreesion, left_input=2142, right_input=1920, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1840","layer":1},{"info":"compute binary expreesion, left_input=-820, right_input=1840, 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":6,"result_base":6,"text":"(↹⩛14303⫏⊷)⪟⇏(↹⩛13530⩒⫫↹⩛12520)=↹⩛0","reverse_text":"↹⩛0=(↹⩛14303⫏⊷)⪟⇏(↹⩛13530⩒⫫↹⩛12520)","cot":[{"info":"↹⩛14303⫏⊷=↹⩛-3444","layer":1},{"info":"↹⩛13530⩒⫫↹⩛12520=↹⩛12304","layer":1},{"info":"↹⩛-3444⪟⇏↹⩛12304=↹⩛0","layer":0}]}
{"id":618,"expression_no_base_symbol":"($2569$⊝⪿⪼$8111$)⊔$3716$⊮⊟↴$2909$","expression":"(↹⩛15521⊝⪿⪼↹⩛101315)⊔↹⩛25112⊮⊟↴↹⩛21245","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":81,"operation_count":3,"complexity_ratio":27.0,"tree":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2569,"base":6},"right_expr":{"type":"numeric_atoms","value":8111,"base":6}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":3716,"base":6},"right_expr":{"type":"numeric_atoms","value":2909,"base":6}}},"used_operators":["E4l6HwMY31","3Oe9XWJUTD","QDVgd2eftb"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"↹⩛2005354","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2569","layer":2},{"info":"number node, value=8111","layer":2},{"info":"compute binary expreesion, left_input=2569, right_input=8111, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=48467","layer":1},{"info":"number node, value=3716","layer":2},{"info":"number node, value=2909","layer":2},{"info":"compute binary expreesion, left_input=3716, right_input=2909, 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=48467, right_input=0, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=94534","layer":0}],"base":6,"result_base":6,"text":"(↹⩛15521⊝⪿⪼↹⩛101315)⊔↹⩛25112⊮⊟↴↹⩛21245=↹⩛2005354","reverse_text":"↹⩛2005354=(↹⩛15521⊝⪿⪼↹⩛101315)⊔↹⩛25112⊮⊟↴↹⩛21245","cot":[{"info":"↹⩛15521⊝⪿⪼↹⩛101315=↹⩛1012215","layer":1},{"info":"↹⩛25112⊮⊟↴↹⩛21245=↹⩛0","layer":1},{"info":"↹⩛1012215⊔↹⩛0=↹⩛2005354","layer":0}]}
{"id":619,"expression_no_base_symbol":"$1621$∀⇚≩$5829$⪶≀⋏($5568$⩨$3087$)","expression":"↹⩛11301∀⇚≩↹⩛42553⪶≀⋏(↹⩛41440⩨↹⩛22143)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11361,"operation_count":3,"complexity_ratio":3787.0,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1621,"base":6},"right_expr":{"type":"numeric_atoms","value":5829,"base":6}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5568,"base":6},"right_expr":{"type":"numeric_atoms","value":3087,"base":6}}},"used_operators":["zR4jO40bMj","LRNGc0VcxI","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","X99M06cbEe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1621","layer":2},{"info":"number node, value=5829","layer":2},{"info":"compute binary expreesion, left_input=1621, right_input=5829, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=5568","layer":2},{"info":"number node, value=3087","layer":2},{"info":"compute binary expreesion, left_input=5568, right_input=3087, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, 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=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛11301∀⇚≩↹⩛42553⪶≀⋏(↹⩛41440⩨↹⩛22143)=NaN","reverse_text":"NaN=↹⩛11301∀⇚≩↹⩛42553⪶≀⋏(↹⩛41440⩨↹⩛22143)","cot":[{"info":"↹⩛11301∀⇚≩↹⩛42553=NaN","layer":1},{"info":"↹⩛41440⩨↹⩛22143=↹⩛0","layer":1},{"info":"NaN⪶≀⋏↹⩛0=NaN","layer":0}]}
{"id":620,"expression_no_base_symbol":"($1375$⩁⩘$1974$)⪝(⨩∲⋌$1159$)","expression":"(↹⩛10211⩁⩘↹⩛13050)⪝(⨩∲⋌↹⩛5211)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":446,"operation_count":3,"complexity_ratio":148.66666666666666,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1375,"base":6},"right_expr":{"type":"numeric_atoms","value":1974,"base":6}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":1159,"base":6}}},"used_operators":["wicAB68Tmb","gub5Cegaqo","aSik1wnThz"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","DpFCA1CohY","IWmyXbctLI","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q"],"result":"↹⩛-524435","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1375","layer":2},{"info":"number node, value=1974","layer":2},{"info":"compute binary expreesion, left_input=1375, right_input=1974, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=8844","layer":1},{"info":"number node, value=1159","layer":2},{"info":"compute unary expreesion, input=1159, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-1682","layer":1},{"info":"compute binary expreesion, left_input=8844, right_input=-1682, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-42503","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10211⩁⩘↹⩛13050)⪝(⨩∲⋌↹⩛5211)=↹⩛-524435","reverse_text":"↹⩛-524435=(↹⩛10211⩁⩘↹⩛13050)⪝(⨩∲⋌↹⩛5211)","cot":[{"info":"↹⩛10211⩁⩘↹⩛13050=↹⩛104540","layer":1},{"info":"⨩∲⋌↹⩛5211=↹⩛-11442","layer":1},{"info":"↹⩛104540⪝↹⩛-11442=↹⩛-524435","layer":0}]}
{"id":621,"expression_no_base_symbol":"$3295$∳⫺$6771$≝⊿$1029$↢$4821$","expression":"↹⩛23131∳⫺↹⩛51203≝⊿↹⩛4433↢↹⩛34153","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":83,"operation_count":3,"complexity_ratio":27.666666666666668,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":3295,"base":6},"right_expr":{"type":"numeric_atoms","value":6771,"base":6}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1029,"base":6},"right_expr":{"type":"numeric_atoms","value":4821,"base":6}}},"used_operators":["OKKcZfAt5B","AzXXKTstlj","WR6HLWljOP"],"dependent_operators":["12rbrZMWeM","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"↹⩛-10151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3295","layer":2},{"info":"number node, value=6771","layer":2},{"info":"compute binary expreesion, left_input=3295, right_input=6771, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"number node, value=1029","layer":2},{"info":"number node, value=4821","layer":2},{"info":"compute binary expreesion, left_input=1029, right_input=4821, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=545","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=545, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-1363","layer":0}],"base":6,"result_base":6,"text":"↹⩛23131∳⫺↹⩛51203≝⊿↹⩛4433↢↹⩛34153=↹⩛-10151","reverse_text":"↹⩛-10151=↹⩛23131∳⫺↹⩛51203≝⊿↹⩛4433↢↹⩛34153","cot":[{"info":"↹⩛23131∳⫺↹⩛51203=↹⩛-1112","layer":1},{"info":"↹⩛4433↢↹⩛34153=↹⩛2305","layer":1},{"info":"↹⩛-1112≝⊿↹⩛2305=↹⩛-10151","layer":0}]}
{"id":622,"expression_no_base_symbol":"($3269$⫌⩉⩟$2877$)⪍↜⋙(⊤⊝$3808$)","expression":"(↹⩛23045⫌⩉⩟↹⩛21153)⪍↜⋙(⊤⊝↹⩛25344)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15844,"operation_count":3,"complexity_ratio":5281.333333333333,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":3269,"base":6},"right_expr":{"type":"numeric_atoms","value":2877,"base":6}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":3808,"base":6}}},"used_operators":["L05ObWFQCd","XIIwhv8d0m","rXAclfmB4M"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","sdazOOVcIp"],"result":"↹⩛-140545","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3269","layer":2},{"info":"number node, value=2877","layer":2},{"info":"compute binary expreesion, left_input=3269, right_input=2877, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=3808","layer":2},{"info":"compute unary expreesion, input=3808, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=6318","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=6318, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-13169","layer":0}],"base":6,"result_base":6,"text":"(↹⩛23045⫌⩉⩟↹⩛21153)⪍↜⋙(⊤⊝↹⩛25344)=↹⩛-140545","reverse_text":"↹⩛-140545=(↹⩛23045⫌⩉⩟↹⩛21153)⪍↜⋙(⊤⊝↹⩛25344)","cot":[{"info":"↹⩛23045⫌⩉⩟↹⩛21153=↹⩛-122","layer":1},{"info":"⊤⊝↹⩛25344=↹⩛45130","layer":1},{"info":"↹⩛-122⪍↜⋙↹⩛45130=↹⩛-140545","layer":0}]}
{"id":623,"expression_no_base_symbol":"$4912$≎⪠$2829$⇌⫙⪟(⇖⫷⫕$1790$)","expression":"↹⩛34424≎⪠↹⩛21033⇌⫙⪟(⇖⫷⫕↹⩛12142)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19859,"operation_count":3,"complexity_ratio":6619.666666666667,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":4912,"base":6},"right_expr":{"type":"numeric_atoms","value":2829,"base":6}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":1790,"base":6}}},"used_operators":["AFVx7xoS7T","aNhz54LH3e","UHmRx3INFg"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP"],"result":"↹⩛305","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4912","layer":2},{"info":"number node, value=2829","layer":2},{"info":"compute binary expreesion, left_input=4912, right_input=2829, 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=1790","layer":2},{"info":"compute unary expreesion, input=1790, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":1},{"info":"compute binary expreesion, left_input=19558, right_input=2822, 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":6,"result_base":6,"text":"↹⩛34424≎⪠↹⩛21033⇌⫙⪟(⇖⫷⫕↹⩛12142)=↹⩛305","reverse_text":"↹⩛305=↹⩛34424≎⪠↹⩛21033⇌⫙⪟(⇖⫷⫕↹⩛12142)","cot":[{"info":"↹⩛34424≎⪠↹⩛21033=↹⩛230314","layer":1},{"info":"⇖⫷⫕↹⩛12142=↹⩛21022","layer":1},{"info":"↹⩛230314⇌⫙⪟↹⩛21022=↹⩛305","layer":0}]}
{"id":624,"expression_no_base_symbol":"($1107$⨸$1326$)⪟⇏($1205$⫌⩉⩟$7327$)","expression":"(↹⩛5043⨸↹⩛10050)⪟⇏(↹⩛5325⫌⩉⩟↹⩛53531)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":38763,"operation_count":3,"complexity_ratio":12921.0,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1107,"base":6},"right_expr":{"type":"numeric_atoms","value":1326,"base":6}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1205,"base":6},"right_expr":{"type":"numeric_atoms","value":7327,"base":6}}},"used_operators":["GODebY97qR","KmoU8R5UQR","XIIwhv8d0m"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1107","layer":2},{"info":"number node, value=1326","layer":2},{"info":"compute binary expreesion, left_input=1107, right_input=1326, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2214","layer":1},{"info":"number node, value=1205","layer":2},{"info":"number node, value=7327","layer":2},{"info":"compute binary expreesion, left_input=1205, right_input=7327, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute binary expreesion, left_input=2214, right_input=-50, 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":6,"result_base":6,"text":"(↹⩛5043⨸↹⩛10050)⪟⇏(↹⩛5325⫌⩉⩟↹⩛53531)=↹⩛0","reverse_text":"↹⩛0=(↹⩛5043⨸↹⩛10050)⪟⇏(↹⩛5325⫌⩉⩟↹⩛53531)","cot":[{"info":"↹⩛5043⨸↹⩛10050=↹⩛14130","layer":1},{"info":"↹⩛5325⫌⩉⩟↹⩛53531=↹⩛-122","layer":1},{"info":"↹⩛14130⪟⇏↹⩛-122=↹⩛0","layer":0}]}
{"id":625,"expression_no_base_symbol":"(≛$2508$)⪝($4868$⊍⩺⋍$8561$)","expression":"(≛↹⩛15340)⪝(↹⩛34312⊍⩺⋍↹⩛103345)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":644,"operation_count":3,"complexity_ratio":214.66666666666666,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":2508,"base":6}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":4868,"base":6},"right_expr":{"type":"numeric_atoms","value":8561,"base":6}}},"used_operators":["wicAB68Tmb","W7eaUhjymW","OXDGMFPWZM"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2508","layer":2},{"info":"compute unary expreesion, input=2508, 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":"number node, value=4868","layer":2},{"info":"number node, value=8561","layer":2},{"info":"compute binary expreesion, left_input=4868, right_input=8561, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-10, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(≛↹⩛15340)⪝(↹⩛34312⊍⩺⋍↹⩛103345)=NaN","reverse_text":"NaN=(≛↹⩛15340)⪝(↹⩛34312⊍⩺⋍↹⩛103345)","cot":[{"info":"≛↹⩛15340=↹⩛-14","layer":1},{"info":"↹⩛34312⊍⩺⋍↹⩛103345=NaN","layer":1},{"info":"↹⩛-14⪝NaN=NaN","layer":0}]}
{"id":626,"expression_no_base_symbol":"($3643$⩨$6522$)≀⩗∶($3406$∸)","expression":"(↹⩛24511⩨↹⩛50110)≀⩗∶(↹⩛23434∸)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":252,"operation_count":3,"complexity_ratio":84.0,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3643,"base":6},"right_expr":{"type":"numeric_atoms","value":6522,"base":6}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3406,"base":6}}},"used_operators":["8INZBEW696","2DlMacCsIx","o20kRiQErp"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tmPS8pqC7x"],"result":"↹⩛453","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3643","layer":2},{"info":"number node, value=6522","layer":2},{"info":"compute binary expreesion, left_input=3643, right_input=6522, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":1},{"info":"number node, value=3406","layer":2},{"info":"compute unary expreesion, input=3406, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=-3, right_input=177, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=177","layer":0}],"base":6,"result_base":6,"text":"(↹⩛24511⩨↹⩛50110)≀⩗∶(↹⩛23434∸)=↹⩛453","reverse_text":"↹⩛453=(↹⩛24511⩨↹⩛50110)≀⩗∶(↹⩛23434∸)","cot":[{"info":"↹⩛24511⩨↹⩛50110=↹⩛-3","layer":1},{"info":"↹⩛23434∸=↹⩛453","layer":1},{"info":"↹⩛-3≀⩗∶↹⩛453=↹⩛453","layer":0}]}
{"id":627,"expression_no_base_symbol":"($1387$⇯⋐)⨴∎","expression":"(↹⩛10231⇯⋐)⨴∎","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5102,"operation_count":2,"complexity_ratio":2551.0,"tree":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":1387,"base":6}}},"used_operators":["CpSg5vQTgA","LkLIoiE525"],"dependent_operators":["Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1387","layer":2},{"info":"compute unary expreesion, input=1387, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=5039","layer":1},{"info":"compute unary expreesion, input=5039, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10231⇯⋐)⨴∎=NaN","reverse_text":"NaN=(↹⩛10231⇯⋐)⨴∎","cot":[{"info":"↹⩛10231⇯⋐=↹⩛35155","layer":1},{"info":"↹⩛35155⨴∎=NaN","layer":0}]}
{"id":628,"expression_no_base_symbol":"($2071$⫸⇳$3736$)⪘⨀","expression":"(↹⩛13331⫸⇳↹⩛25144)⪘⨀","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":32,"operation_count":2,"complexity_ratio":16.0,"tree":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":2071,"base":6},"right_expr":{"type":"numeric_atoms","value":3736,"base":6}}},"used_operators":["aA7tF3KVD3","gx7XJ7hdpj"],"dependent_operators":["bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2071","layer":2},{"info":"number node, value=3736","layer":2},{"info":"compute binary expreesion, left_input=2071, right_input=3736, 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 = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛13331⫸⇳↹⩛25144)⪘⨀=NaN","reverse_text":"NaN=(↹⩛13331⫸⇳↹⩛25144)⪘⨀","cot":[{"info":"↹⩛13331⫸⇳↹⩛25144=↹⩛0","layer":1},{"info":"↹⩛0⪘⨀=NaN","layer":0}]}
{"id":629,"expression_no_base_symbol":"($1980$≝⊰⇂)⋾⨃∁($1006$⪨≂$3585$)","expression":"(↹⩛13100≝⊰⇂)⋾⨃∁(↹⩛4354⪨≂↹⩛24333)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6512,"operation_count":3,"complexity_ratio":2170.6666666666665,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":1980,"base":6}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1006,"base":6},"right_expr":{"type":"numeric_atoms","value":3585,"base":6}}},"used_operators":["212REbPD9h","htSmYCowi5","sdazOOVcIp"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","9FxExcQeMw","DlLNRPXxWL","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛41212210550","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1980","layer":2},{"info":"compute unary expreesion, input=1980, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":1},{"info":"number node, value=1006","layer":2},{"info":"number node, value=3585","layer":2},{"info":"compute binary expreesion, left_input=1006, right_input=3585, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-5056","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-5056, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=255691938","layer":0}],"base":6,"result_base":6,"text":"(↹⩛13100≝⊰⇂)⋾⨃∁(↹⩛4354⪨≂↹⩛24333)=↹⩛41212210550","reverse_text":"↹⩛41212210550=(↹⩛13100≝⊰⇂)⋾⨃∁(↹⩛4354⪨≂↹⩛24333)","cot":[{"info":"↹⩛13100≝⊰⇂=↹⩛0","layer":1},{"info":"↹⩛4354⪨≂↹⩛24333=↹⩛-35224","layer":1},{"info":"↹⩛0⋾⨃∁↹⩛-35224=↹⩛41212210550","layer":0}]}
{"id":630,"expression_no_base_symbol":"($2261$⨟⋌⩍$1219$)⪒⊣⊆($1170$↳∿⪆$4462$)","expression":"(↹⩛14245⨟⋌⩍↹⩛5351)⪒⊣⊆(↹⩛5230↳∿⪆↹⩛32354)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2454,"operation_count":3,"complexity_ratio":818.0,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2261,"base":6},"right_expr":{"type":"numeric_atoms","value":1219,"base":6}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1170,"base":6},"right_expr":{"type":"numeric_atoms","value":4462,"base":6}}},"used_operators":["eRqsBgTDFp","rGHVDoGpnC","Cw4SuJJGHO"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","Tcnh7f0tEr","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2261","layer":2},{"info":"number node, value=1219","layer":2},{"info":"compute binary expreesion, left_input=2261, right_input=1219, 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=1170","layer":2},{"info":"number node, value=4462","layer":2},{"info":"compute binary expreesion, left_input=1170, right_input=4462, 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 = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛14245⨟⋌⩍↹⩛5351)⪒⊣⊆(↹⩛5230↳∿⪆↹⩛32354)=NaN","reverse_text":"NaN=(↹⩛14245⨟⋌⩍↹⩛5351)⪒⊣⊆(↹⩛5230↳∿⪆↹⩛32354)","cot":[{"info":"↹⩛14245⨟⋌⩍↹⩛5351=NaN","layer":1},{"info":"↹⩛5230↳∿⪆↹⩛32354=NaN","layer":1},{"info":"NaN⪒⊣⊆NaN=NaN","layer":0}]}
{"id":631,"expression_no_base_symbol":"($1025$⪪$1347$)∣($6499$⩤)","expression":"(↹⩛4425⪪↹⩛10123)∣(↹⩛50031⩤)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3219,"operation_count":3,"complexity_ratio":1073.0,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1025,"base":6},"right_expr":{"type":"numeric_atoms","value":1347,"base":6}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":6499,"base":6}}},"used_operators":["PPChnnnBFF","xD69zh8xqp","Z2TMIBDE3Q"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","FU0Cs4j7VP","JclMnS0uGI","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛3124404","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1025","layer":2},{"info":"number node, value=1347","layer":2},{"info":"compute binary expreesion, left_input=1025, right_input=1347, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-150864","layer":1},{"info":"number node, value=6499","layer":2},{"info":"compute unary expreesion, input=6499, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-6499","layer":1},{"info":"compute binary expreesion, left_input=-150864, right_input=-6499, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=151348","layer":0}],"base":6,"result_base":6,"text":"(↹⩛4425⪪↹⩛10123)∣(↹⩛50031⩤)=↹⩛3124404","reverse_text":"↹⩛3124404=(↹⩛4425⪪↹⩛10123)∣(↹⩛50031⩤)","cot":[{"info":"↹⩛4425⪪↹⩛10123=↹⩛-3122240","layer":1},{"info":"↹⩛50031⩤=↹⩛-50031","layer":1},{"info":"↹⩛-3122240∣↹⩛-50031=↹⩛3124404","layer":0}]}
{"id":632,"expression_no_base_symbol":"∜⨇($1015$-$6553$)","expression":"∜⨇(↹⩛4411-↹⩛50201)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":56,"operation_count":2,"complexity_ratio":28.0,"tree":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1015,"base":6},"right_expr":{"type":"numeric_atoms","value":6553,"base":6}}},"used_operators":["uFPyJr306J","rysDP5nf3Z"],"dependent_operators":["fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1015","layer":2},{"info":"number node, value=6553","layer":2},{"info":"compute binary expreesion, left_input=1015, right_input=6553, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5538","layer":1},{"info":"compute unary expreesion, input=-5538, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"∜⨇(↹⩛4411-↹⩛50201)=NaN","reverse_text":"NaN=∜⨇(↹⩛4411-↹⩛50201)","cot":[{"info":"↹⩛4411-↹⩛50201=↹⩛-41350","layer":1},{"info":"∜⨇↹⩛-41350=NaN","layer":0}]}
{"id":633,"expression_no_base_symbol":"($4104$⋣⋖$6277$)+⪬∐($5584$∙∹∝$1761$)","expression":"(↹⩛31000⋣⋖↹⩛45021)+⪬∐(↹⩛41504∙∹∝↹⩛12053)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":4104,"base":6},"right_expr":{"type":"numeric_atoms","value":6277,"base":6}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":5584,"base":6},"right_expr":{"type":"numeric_atoms","value":1761,"base":6}}},"used_operators":["2GS7woTJqF","J0M6qkBnIM","HmxsFra2vL"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"↹⩛-133000","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4104","layer":2},{"info":"number node, value=6277","layer":2},{"info":"compute binary expreesion, left_input=4104, right_input=6277, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4104","layer":1},{"info":"number node, value=5584","layer":2},{"info":"number node, value=1761","layer":2},{"info":"compute binary expreesion, left_input=5584, right_input=1761, 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=4104, right_input=0, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-12312","layer":0}],"base":6,"result_base":6,"text":"(↹⩛31000⋣⋖↹⩛45021)+⪬∐(↹⩛41504∙∹∝↹⩛12053)=↹⩛-133000","reverse_text":"↹⩛-133000=(↹⩛31000⋣⋖↹⩛45021)+⪬∐(↹⩛41504∙∹∝↹⩛12053)","cot":[{"info":"↹⩛31000⋣⋖↹⩛45021=↹⩛31000","layer":1},{"info":"↹⩛41504∙∹∝↹⩛12053=↹⩛0","layer":1},{"info":"↹⩛31000+⪬∐↹⩛0=↹⩛-133000","layer":0}]}
{"id":634,"expression_no_base_symbol":"(⨰⫟⨤$1591$)↳∿⪆($1774$⫉⨲⊜$4274$)","expression":"(⨰⫟⨤↹⩛11211)↳∿⪆(↹⩛12114⫉⨲⊜↹⩛31442)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7925,"operation_count":3,"complexity_ratio":2641.6666666666665,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1591,"base":6}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1774,"base":6},"right_expr":{"type":"numeric_atoms","value":4274,"base":6}}},"used_operators":["Cw4SuJJGHO","Tw270M8GLb","WhqkvtTD3t"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","eewbuw0ToL","zVYPLywUTj"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1591","layer":2},{"info":"compute unary expreesion, input=1591, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=1774","layer":2},{"info":"number node, value=4274","layer":2},{"info":"compute binary expreesion, left_input=1774, right_input=4274, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⨰⫟⨤↹⩛11211)↳∿⪆(↹⩛12114⫉⨲⊜↹⩛31442)=NaN","reverse_text":"NaN=(⨰⫟⨤↹⩛11211)↳∿⪆(↹⩛12114⫉⨲⊜↹⩛31442)","cot":[{"info":"⨰⫟⨤↹⩛11211=NaN","layer":1},{"info":"↹⩛12114⫉⨲⊜↹⩛31442=↹⩛0","layer":1},{"info":"NaN↳∿⪆↹⩛0=NaN","layer":0}]}
{"id":635,"expression_no_base_symbol":"(⇋↷$3301$)∼($1033$⋾⨃∁$3872$)","expression":"(⇋↷↹⩛23141)∼(↹⩛4441⋾⨃∁↹⩛25532)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4428,"operation_count":3,"complexity_ratio":1476.0,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":3301,"base":6}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1033,"base":6},"right_expr":{"type":"numeric_atoms","value":3872,"base":6}}},"used_operators":["DyGG3AbaNP","SWo3A1KBJH","212REbPD9h"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3301","layer":2},{"info":"compute unary expreesion, input=3301, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=26408","layer":1},{"info":"number node, value=1033","layer":2},{"info":"number node, value=3872","layer":2},{"info":"compute binary expreesion, left_input=1033, right_input=3872, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=149877282","layer":1},{"info":"compute binary expreesion, left_input=26408, right_input=149877282, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⇋↷↹⩛23141)∼(↹⩛4441⋾⨃∁↹⩛25532)=NaN","reverse_text":"NaN=(⇋↷↹⩛23141)∼(↹⩛4441⋾⨃∁↹⩛25532)","cot":[{"info":"⇋↷↹⩛23141=↹⩛322132","layer":1},{"info":"↹⩛4441⋾⨃∁↹⩛25532=↹⩛22512220150","layer":1},{"info":"↹⩛322132∼↹⩛22512220150=NaN","layer":0}]}
{"id":636,"expression_no_base_symbol":"⪸($1874$⩘$3432$)","expression":"⪸(↹⩛12402⩘↹⩛23520)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":124,"operation_count":2,"complexity_ratio":62.0,"tree":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1874,"base":6},"right_expr":{"type":"numeric_atoms","value":3432,"base":6}}},"used_operators":["86A5ENbKR9","cHh1gJQ2o6"],"dependent_operators":["Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"↹⩛-15343","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1874","layer":2},{"info":"number node, value=3432","layer":2},{"info":"compute binary expreesion, left_input=1874, right_input=3432, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-2511","layer":0}],"base":6,"result_base":6,"text":"⪸(↹⩛12402⩘↹⩛23520)=↹⩛-15343","reverse_text":"↹⩛-15343=⪸(↹⩛12402⩘↹⩛23520)","cot":[{"info":"↹⩛12402⩘↹⩛23520=↹⩛424","layer":1},{"info":"⪸↹⩛424=↹⩛-15343","layer":0}]}
{"id":637,"expression_no_base_symbol":"(⨞⊢$1020$)⇴(⊬↢$1090$)","expression":"(⨞⊢↹⩛4420)⇴(⊬↢↹⩛5014)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1158,"operation_count":3,"complexity_ratio":386.0,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1020,"base":6}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":1090,"base":6}}},"used_operators":["4JB6nKBMSY","xUOZtlo3hN","WPoGxAaPR1"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA"],"result":"↹⩛-52534","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1020","layer":2},{"info":"compute unary expreesion, input=1020, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1194","layer":1},{"info":"number node, value=1090","layer":2},{"info":"compute unary expreesion, input=1090, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":1},{"info":"compute binary expreesion, left_input=-1194, right_input=218, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-7114","layer":0}],"base":6,"result_base":6,"text":"(⨞⊢↹⩛4420)⇴(⊬↢↹⩛5014)=↹⩛-52534","reverse_text":"↹⩛-52534=(⨞⊢↹⩛4420)⇴(⊬↢↹⩛5014)","cot":[{"info":"⨞⊢↹⩛4420=↹⩛-5310","layer":1},{"info":"⊬↢↹⩛5014=↹⩛1002","layer":1},{"info":"↹⩛-5310⇴↹⩛1002=↹⩛-52534","layer":0}]}
{"id":638,"expression_no_base_symbol":"($2904$∙∹∝$1546$)⊹≧⊝","expression":"(↹⩛21240∙∹∝↹⩛11054)⊹≧⊝","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":28,"operation_count":2,"complexity_ratio":14.0,"tree":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":2904,"base":6},"right_expr":{"type":"numeric_atoms","value":1546,"base":6}}},"used_operators":["LxFB4K6j0n","HmxsFra2vL"],"dependent_operators":["NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2904","layer":2},{"info":"number node, value=1546","layer":2},{"info":"compute binary expreesion, left_input=2904, right_input=1546, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"(↹⩛21240∙∹∝↹⩛11054)⊹≧⊝=↹⩛0","reverse_text":"↹⩛0=(↹⩛21240∙∹∝↹⩛11054)⊹≧⊝","cot":[{"info":"↹⩛21240∙∹∝↹⩛11054=↹⩛0","layer":1},{"info":"↹⩛0⊹≧⊝=↹⩛0","layer":0}]}
{"id":639,"expression_no_base_symbol":"(⇨$2840$)⨒$1369$⨽$2946$","expression":"(⇨↹⩛21052)⨒↹⩛10201⨽↹⩛21350","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1396,"operation_count":3,"complexity_ratio":465.3333333333333,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":2840,"base":6}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1369,"base":6},"right_expr":{"type":"numeric_atoms","value":2946,"base":6}}},"used_operators":["y75s1iXyHd","G9tJMlZ94a","8HhzD0ZcuI"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"↹⩛1","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2840","layer":2},{"info":"compute unary expreesion, input=2840, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":1},{"info":"number node, value=1369","layer":2},{"info":"number node, value=2946","layer":2},{"info":"compute binary expreesion, left_input=1369, right_input=2946, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5630007","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-5630007, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":0}],"base":6,"result_base":6,"text":"(⇨↹⩛21052)⨒↹⩛10201⨽↹⩛21350=↹⩛1","reverse_text":"↹⩛1=(⇨↹⩛21052)⨒↹⩛10201⨽↹⩛21350","cot":[{"info":"⇨↹⩛21052=↹⩛0","layer":1},{"info":"↹⩛10201⨽↹⩛21350=↹⩛-320400503","layer":1},{"info":"↹⩛0⨒↹⩛-320400503=↹⩛1","layer":0}]}
{"id":640,"expression_no_base_symbol":"$5601$⋅⇍$5991$⋷$1104$⪘⫢$1282$","expression":"↹⩛41533⋅⇍↹⩛43423⋷↹⩛5040⪘⫢↹⩛5534","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21,"operation_count":3,"complexity_ratio":7.0,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":5601,"base":6},"right_expr":{"type":"numeric_atoms","value":5991,"base":6}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1104,"base":6},"right_expr":{"type":"numeric_atoms","value":1282,"base":6}}},"used_operators":["23Mk6UjR3U","AdZkA7nFnk","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"↹⩛112","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5601","layer":2},{"info":"number node, value=5991","layer":2},{"info":"compute binary expreesion, left_input=5601, right_input=5991, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"number node, value=1104","layer":2},{"info":"number node, value=1282","layer":2},{"info":"compute binary expreesion, left_input=1104, right_input=1282, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2084","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=2084, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=44","layer":0}],"base":6,"result_base":6,"text":"↹⩛41533⋅⇍↹⩛43423⋷↹⩛5040⪘⫢↹⩛5534=↹⩛112","reverse_text":"↹⩛112=↹⩛41533⋅⇍↹⩛43423⋷↹⩛5040⪘⫢↹⩛5534","cot":[{"info":"↹⩛41533⋅⇍↹⩛43423=↹⩛-34","layer":1},{"info":"↹⩛5040⪘⫢↹⩛5534=↹⩛13352","layer":1},{"info":"↹⩛-34⋷↹⩛13352=↹⩛112","layer":0}]}
{"id":641,"expression_no_base_symbol":"($3574$⋷$5522$)⩌⋺$3470$≁$2185$","expression":"(↹⩛24314⋷↹⩛41322)⩌⋺↹⩛24022≁↹⩛14041","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":79,"operation_count":3,"complexity_ratio":26.333333333333332,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3574,"base":6},"right_expr":{"type":"numeric_atoms","value":5522,"base":6}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":3470,"base":6},"right_expr":{"type":"numeric_atoms","value":2185,"base":6}}},"used_operators":["g7Hmc5v1ko","23Mk6UjR3U","8N2wDY1A35"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"↹⩛-1000450","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3574","layer":2},{"info":"number node, value=5522","layer":2},{"info":"compute binary expreesion, left_input=3574, right_input=5522, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7470","layer":1},{"info":"number node, value=3470","layer":2},{"info":"number node, value=2185","layer":2},{"info":"compute binary expreesion, left_input=3470, right_input=2185, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=39239","layer":1},{"info":"compute binary expreesion, left_input=7470, right_input=39239, 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=-46830","layer":0}],"base":6,"result_base":6,"text":"(↹⩛24314⋷↹⩛41322)⩌⋺↹⩛24022≁↹⩛14041=↹⩛-1000450","reverse_text":"↹⩛-1000450=(↹⩛24314⋷↹⩛41322)⩌⋺↹⩛24022≁↹⩛14041","cot":[{"info":"↹⩛24314⋷↹⩛41322=↹⩛54330","layer":1},{"info":"↹⩛24022≁↹⩛14041=↹⩛501355","layer":1},{"info":"↹⩛54330⩌⋺↹⩛501355=↹⩛-1000450","layer":0}]}
{"id":642,"expression_no_base_symbol":"($2374$⊭∹↮)⇡⇂($2704$⪶≀⋏$1906$)","expression":"(↹⩛14554⊭∹↮)⇡⇂(↹⩛20304⪶≀⋏↹⩛12454)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":86668,"operation_count":3,"complexity_ratio":28889.333333333332,"tree":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2374,"base":6}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2704,"base":6},"right_expr":{"type":"numeric_atoms","value":1906,"base":6}}},"used_operators":["UMwdvZNt44","xNBdhnnwKq","zR4jO40bMj"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2374","layer":2},{"info":"compute unary expreesion, input=2374, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4748","layer":1},{"info":"number node, value=2704","layer":2},{"info":"number node, value=1906","layer":2},{"info":"compute binary expreesion, left_input=2704, right_input=1906, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-12156","layer":1},{"info":"compute binary expreesion, left_input=4748, right_input=-12156, 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":6,"result_base":6,"text":"(↹⩛14554⊭∹↮)⇡⇂(↹⩛20304⪶≀⋏↹⩛12454)=NaN","reverse_text":"NaN=(↹⩛14554⊭∹↮)⇡⇂(↹⩛20304⪶≀⋏↹⩛12454)","cot":[{"info":"↹⩛14554⊭∹↮=↹⩛33552","layer":1},{"info":"↹⩛20304⪶≀⋏↹⩛12454=↹⩛-132140","layer":1},{"info":"↹⩛33552⇡⇂↹⩛-132140=NaN","layer":0}]}
{"id":643,"expression_no_base_symbol":"$6523$≁$4381$⩼⇪↪($2245$⇴∐$1018$)","expression":"↹⩛50111≁↹⩛32141⩼⇪↪(↹⩛14221⇴∐↹⩛4414)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":107,"operation_count":3,"complexity_ratio":35.666666666666664,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":6523,"base":6},"right_expr":{"type":"numeric_atoms","value":4381,"base":6}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2245,"base":6},"right_expr":{"type":"numeric_atoms","value":1018,"base":6}}},"used_operators":["ocnLzx9CaJ","8N2wDY1A35","HnzytWxmAO"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6523","layer":2},{"info":"number node, value=4381","layer":2},{"info":"compute binary expreesion, left_input=6523, right_input=4381, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=91943","layer":1},{"info":"number node, value=2245","layer":2},{"info":"number node, value=1018","layer":2},{"info":"compute binary expreesion, left_input=2245, right_input=1018, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=91943, 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":6,"result_base":6,"text":"↹⩛50111≁↹⩛32141⩼⇪↪(↹⩛14221⇴∐↹⩛4414)=NaN","reverse_text":"NaN=↹⩛50111≁↹⩛32141⩼⇪↪(↹⩛14221⇴∐↹⩛4414)","cot":[{"info":"↹⩛50111≁↹⩛32141=↹⩛1545355","layer":1},{"info":"↹⩛14221⇴∐↹⩛4414=NaN","layer":1},{"info":"↹⩛1545355⩼⇪↪NaN=NaN","layer":0}]}
{"id":644,"expression_no_base_symbol":"(⊥$2356$)⪟⇏($2241$⩚⊴⇥$1187$)","expression":"(⊥↹⩛14524)⪟⇏(↹⩛14213⩚⊴⇥↹⩛5255)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34,"operation_count":3,"complexity_ratio":11.333333333333334,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2356,"base":6}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2241,"base":6},"right_expr":{"type":"numeric_atoms","value":1187,"base":6}}},"used_operators":["GODebY97qR","Q3PJZHRvZv","NTOWxs364D"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2356","layer":2},{"info":"compute unary expreesion, input=2356, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=2241","layer":2},{"info":"number node, value=1187","layer":2},{"info":"compute binary expreesion, left_input=2241, right_input=1187, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3549","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3549, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⊥↹⩛14524)⪟⇏(↹⩛14213⩚⊴⇥↹⩛5255)=NaN","reverse_text":"NaN=(⊥↹⩛14524)⪟⇏(↹⩛14213⩚⊴⇥↹⩛5255)","cot":[{"info":"⊥↹⩛14524=NaN","layer":1},{"info":"↹⩛14213⩚⊴⇥↹⩛5255=↹⩛-24233","layer":1},{"info":"NaN⪟⇏↹⩛-24233=NaN","layer":0}]}
{"id":645,"expression_no_base_symbol":"(↞≼$6639$)⇻⋧≁($1767$↹⊜$3095$)","expression":"(↞≼↹⩛50423)⇻⋧≁(↹⩛12103↹⊜↹⩛22155)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":52763,"operation_count":3,"complexity_ratio":17587.666666666668,"tree":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":6639,"base":6}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1767,"base":6},"right_expr":{"type":"numeric_atoms","value":3095,"base":6}}},"used_operators":["jCPkEVoL5K","DE7zCoGJt9","9bazX3JMtO"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"↹⩛-2023","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6639","layer":2},{"info":"compute unary expreesion, input=6639, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=52698","layer":1},{"info":"number node, value=1767","layer":2},{"info":"number node, value=3095","layer":2},{"info":"compute binary expreesion, left_input=1767, right_input=3095, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-8942","layer":1},{"info":"compute binary expreesion, left_input=52698, right_input=-8942, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":0}],"base":6,"result_base":6,"text":"(↞≼↹⩛50423)⇻⋧≁(↹⩛12103↹⊜↹⩛22155)=↹⩛-2023","reverse_text":"↹⩛-2023=(↞≼↹⩛50423)⇻⋧≁(↹⩛12103↹⊜↹⩛22155)","cot":[{"info":"↞≼↹⩛50423=↹⩛1043550","layer":1},{"info":"↹⩛12103↹⊜↹⩛22155=↹⩛-105222","layer":1},{"info":"↹⩛1043550⇻⋧≁↹⩛-105222=↹⩛-2023","layer":0}]}
{"id":646,"expression_no_base_symbol":"(⫯$1070$)∴($4733$∀⇚≩$5651$)","expression":"(⫯↹⩛4542)∴(↹⩛33525∀⇚≩↹⩛42055)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":33188,"operation_count":3,"complexity_ratio":11062.666666666666,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":1070,"base":6}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4733,"base":6},"right_expr":{"type":"numeric_atoms","value":5651,"base":6}}},"used_operators":["hrf7POJlIJ","H6BK1Evt7c","LRNGc0VcxI"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","X99M06cbEe"],"result":"↹⩛-1131320","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1070","layer":2},{"info":"compute unary expreesion, input=1070, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-30152","layer":1},{"info":"number node, value=4733","layer":2},{"info":"number node, value=5651","layer":2},{"info":"compute binary expreesion, left_input=4733, right_input=5651, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-30152, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-58656","layer":0}],"base":6,"result_base":6,"text":"(⫯↹⩛4542)∴(↹⩛33525∀⇚≩↹⩛42055)=↹⩛-1131320","reverse_text":"↹⩛-1131320=(⫯↹⩛4542)∴(↹⩛33525∀⇚≩↹⩛42055)","cot":[{"info":"⫯↹⩛4542=↹⩛-351332","layer":1},{"info":"↹⩛33525∀⇚≩↹⩛42055=NaN","layer":1},{"info":"↹⩛-351332∴NaN=↹⩛-1131320","layer":0}]}
{"id":647,"expression_no_base_symbol":"($4182$∌↝$2082$)⋛$1961$→⨶⪴$1328$","expression":"(↹⩛31210∌↝↹⩛13350)⋛↹⩛13025→⨶⪴↹⩛10052","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":79,"operation_count":3,"complexity_ratio":26.333333333333332,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":4182,"base":6},"right_expr":{"type":"numeric_atoms","value":2082,"base":6}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1961,"base":6},"right_expr":{"type":"numeric_atoms","value":1328,"base":6}}},"used_operators":["YbUVn0Rbpy","9Isq31Ruls","bF6eod5Gvf"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","8w2t5hMYqp","9FxExcQeMw"],"result":"↹⩛-124203","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4182","layer":2},{"info":"number node, value=2082","layer":2},{"info":"compute binary expreesion, left_input=4182, right_input=2082, 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=1961","layer":2},{"info":"number node, value=1328","layer":2},{"info":"compute binary expreesion, left_input=1961, right_input=1328, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3984","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-3984, 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=-11307","layer":0}],"base":6,"result_base":6,"text":"(↹⩛31210∌↝↹⩛13350)⋛↹⩛13025→⨶⪴↹⩛10052=↹⩛-124203","reverse_text":"↹⩛-124203=(↹⩛31210∌↝↹⩛13350)⋛↹⩛13025→⨶⪴↹⩛10052","cot":[{"info":"↹⩛31210∌↝↹⩛13350=↹⩛0","layer":1},{"info":"↹⩛13025→⨶⪴↹⩛10052=↹⩛-30240","layer":1},{"info":"↹⩛0⋛↹⩛-30240=↹⩛-124203","layer":0}]}
{"id":648,"expression_no_base_symbol":"(⇖⫷⫕$1422$)⇴∐(≑⋹$3337$)","expression":"(⇖⫷⫕↹⩛10330)⇴∐(≑⋹↹⩛23241)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":865,"operation_count":3,"complexity_ratio":288.3333333333333,"tree":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":1422,"base":6}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":3337,"base":6}}},"used_operators":["HnzytWxmAO","UHmRx3INFg","6B9nyZLogK"],"dependent_operators":["2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1422","layer":2},{"info":"compute unary expreesion, input=1422, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":1},{"info":"number node, value=3337","layer":2},{"info":"compute unary expreesion, input=3337, 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=2822, right_input=1650, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⇖⫷⫕↹⩛10330)⇴∐(≑⋹↹⩛23241)=NaN","reverse_text":"NaN=(⇖⫷⫕↹⩛10330)⇴∐(≑⋹↹⩛23241)","cot":[{"info":"⇖⫷⫕↹⩛10330=↹⩛21022","layer":1},{"info":"≑⋹↹⩛23241=↹⩛11350","layer":1},{"info":"↹⩛21022⇴∐↹⩛11350=NaN","layer":0}]}
{"id":649,"expression_no_base_symbol":"($3857$⪇≇⋚$2211$)↑","expression":"(↹⩛25505⪇≇⋚↹⩛14123)↑","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16,"operation_count":2,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":3857,"base":6},"right_expr":{"type":"numeric_atoms","value":2211,"base":6}}},"used_operators":["BThhyOhh10","3sJ7IOPOlU"],"dependent_operators":["i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"↹⩛1010","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3857","layer":2},{"info":"number node, value=2211","layer":2},{"info":"compute binary expreesion, left_input=3857, right_input=2211, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":0}],"base":6,"result_base":6,"text":"(↹⩛25505⪇≇⋚↹⩛14123)↑=↹⩛1010","reverse_text":"↹⩛1010=(↹⩛25505⪇≇⋚↹⩛14123)↑","cot":[{"info":"↹⩛25505⪇≇⋚↹⩛14123=↹⩛0","layer":1},{"info":"↹⩛0↑=↹⩛1010","layer":0}]}
{"id":650,"expression_no_base_symbol":"$5375$⋅⇍$4439$⫚↹⊑(∜⨇$4004$)","expression":"↹⩛40515⋅⇍↹⩛32315⫚↹⊑(∜⨇↹⩛30312)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":76,"operation_count":3,"complexity_ratio":25.333333333333332,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":5375,"base":6},"right_expr":{"type":"numeric_atoms","value":4439,"base":6}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":4004,"base":6}}},"used_operators":["dfKe02y8D2","AdZkA7nFnk","uFPyJr306J"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ"],"result":"↹⩛-2023","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5375","layer":2},{"info":"number node, value=4439","layer":2},{"info":"compute binary expreesion, left_input=5375, right_input=4439, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"number node, value=4004","layer":2},{"info":"compute unary expreesion, input=4004, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":6,"result_base":6,"text":"↹⩛40515⋅⇍↹⩛32315⫚↹⊑(∜⨇↹⩛30312)=↹⩛-2023","reverse_text":"↹⩛-2023=↹⩛40515⋅⇍↹⩛32315⫚↹⊑(∜⨇↹⩛30312)","cot":[{"info":"↹⩛40515⋅⇍↹⩛32315=↹⩛-34","layer":1},{"info":"∜⨇↹⩛30312=NaN","layer":1},{"info":"↹⩛-34⫚↹⊑NaN=↹⩛-2023","layer":0}]}
{"id":651,"expression_no_base_symbol":"⫇($5737$⨑≵⋬$1997$)","expression":"⫇(↹⩛42321⨑≵⋬↹⩛13125)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":34,"operation_count":2,"complexity_ratio":17.0,"tree":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":5737,"base":6},"right_expr":{"type":"numeric_atoms","value":1997,"base":6}}},"used_operators":["YjI8oCXuph","XnXgA4xnOs"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"↹⩛-355152","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5737","layer":2},{"info":"number node, value=1997","layer":2},{"info":"compute binary expreesion, left_input=5737, right_input=1997, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=16085","layer":1},{"info":"compute unary expreesion, input=16085, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-30956","layer":0}],"base":6,"result_base":6,"text":"⫇(↹⩛42321⨑≵⋬↹⩛13125)=↹⩛-355152","reverse_text":"↹⩛-355152=⫇(↹⩛42321⨑≵⋬↹⩛13125)","cot":[{"info":"↹⩛42321⨑≵⋬↹⩛13125=↹⩛202245","layer":1},{"info":"⫇↹⩛202245=↹⩛-355152","layer":0}]}
{"id":652,"expression_no_base_symbol":"$3540$∊∟⩊$1754$⫒⫫$1184$⪒⊣⊆$3220$","expression":"↹⩛24220∊∟⩊↹⩛12042⫒⫫↹⩛5252⪒⊣⊆↹⩛22524","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":3540,"base":6},"right_expr":{"type":"numeric_atoms","value":1754,"base":6}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1184,"base":6},"right_expr":{"type":"numeric_atoms","value":3220,"base":6}}},"used_operators":["6Ko8hGgeMq","ddLRYrp01A","eRqsBgTDFp"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","sdazOOVcIp","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3540","layer":2},{"info":"number node, value=1754","layer":2},{"info":"compute binary expreesion, left_input=3540, right_input=1754, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1754","layer":1},{"info":"number node, value=1184","layer":2},{"info":"number node, value=3220","layer":2},{"info":"compute binary expreesion, left_input=1184, right_input=3220, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2368","layer":1},{"info":"compute binary expreesion, left_input=1754, right_input=2368, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛24220∊∟⩊↹⩛12042⫒⫫↹⩛5252⪒⊣⊆↹⩛22524=NaN","reverse_text":"NaN=↹⩛24220∊∟⩊↹⩛12042⫒⫫↹⩛5252⪒⊣⊆↹⩛22524","cot":[{"info":"↹⩛24220∊∟⩊↹⩛12042=↹⩛12042","layer":1},{"info":"↹⩛5252⪒⊣⊆↹⩛22524=↹⩛14544","layer":1},{"info":"↹⩛12042⫒⫫↹⩛14544=NaN","layer":0}]}
{"id":653,"expression_no_base_symbol":"⋎⨆$1498$⇍⊗$4414$","expression":"⋎⨆↹⩛10534⇍⊗↹⩛32234","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":282,"operation_count":2,"complexity_ratio":141.0,"tree":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1498,"base":6},"right_expr":{"type":"numeric_atoms","value":4414,"base":6}}},"used_operators":["E64sFOc4tB","5uvYHDjeKN"],"dependent_operators":["PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"↹⩛454202000","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1498","layer":2},{"info":"number node, value=4414","layer":2},{"info":"compute binary expreesion, left_input=1498, right_input=4414, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"compute unary expreesion, input=-244, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":0}],"base":6,"result_base":6,"text":"⋎⨆↹⩛10534⇍⊗↹⩛32234=↹⩛454202000","reverse_text":"↹⩛454202000=⋎⨆↹⩛10534⇍⊗↹⩛32234","cot":[{"info":"↹⩛10534⇍⊗↹⩛32234=↹⩛-1044","layer":1},{"info":"⋎⨆↹⩛-1044=↹⩛454202000","layer":0}]}
{"id":654,"expression_no_base_symbol":"($6650$↡⊰⫅$4118$)⩁","expression":"(↹⩛50442↡⊰⫅↹⩛31022)⩁","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":57690,"operation_count":2,"complexity_ratio":28845.0,"tree":{"type":"unary","operator":"⩁","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":6650,"base":6},"right_expr":{"type":"numeric_atoms","value":4118,"base":6}}},"used_operators":["5GqDbVmqXU","VCtxkLNOzz"],"dependent_operators":["7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"↹⩛-1204100","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6650","layer":2},{"info":"number node, value=4118","layer":2},{"info":"compute binary expreesion, left_input=6650, right_input=4118, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=8236","layer":1},{"info":"compute unary expreesion, input=8236, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-63108","layer":0}],"base":6,"result_base":6,"text":"(↹⩛50442↡⊰⫅↹⩛31022)⩁=↹⩛-1204100","reverse_text":"↹⩛-1204100=(↹⩛50442↡⊰⫅↹⩛31022)⩁","cot":[{"info":"↹⩛50442↡⊰⫅↹⩛31022=↹⩛102044","layer":1},{"info":"↹⩛102044⩁=↹⩛-1204100","layer":0}]}
{"id":655,"expression_no_base_symbol":"$5988$∴$5567$↢(⊊≼∋$3543$)","expression":"↹⩛43420∴↹⩛41435↢(⊊≼∋↹⩛24223)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3591,"operation_count":3,"complexity_ratio":1197.0,"tree":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":5988,"base":6},"right_expr":{"type":"numeric_atoms","value":5567,"base":6}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":3543,"base":6}}},"used_operators":["WR6HLWljOP","hrf7POJlIJ","FWz7pXsQhA"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","B5M0gjZbta","jCPkEVoL5K"],"result":"↹⩛140500","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5988","layer":2},{"info":"number node, value=5567","layer":2},{"info":"compute binary expreesion, left_input=5988, right_input=5567, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=13624","layer":1},{"info":"number node, value=3543","layer":2},{"info":"compute unary expreesion, input=3543, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=13624, right_input=-447, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=13140","layer":0}],"base":6,"result_base":6,"text":"↹⩛43420∴↹⩛41435↢(⊊≼∋↹⩛24223)=↹⩛140500","reverse_text":"↹⩛140500=↹⩛43420∴↹⩛41435↢(⊊≼∋↹⩛24223)","cot":[{"info":"↹⩛43420∴↹⩛41435=↹⩛143024","layer":1},{"info":"⊊≼∋↹⩛24223=↹⩛-2023","layer":1},{"info":"↹⩛143024↢↹⩛-2023=↹⩛140500","layer":0}]}
{"id":656,"expression_no_base_symbol":"$4605$∘$1863$⋷(⊖∈$5675$)","expression":"↹⩛33153∘↹⩛12343⋷(⊖∈↹⩛42135)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":61,"operation_count":3,"complexity_ratio":20.333333333333332,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":4605,"base":6},"right_expr":{"type":"numeric_atoms","value":1863,"base":6}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":5675,"base":6}}},"used_operators":["23Mk6UjR3U","Z5m6OM72h2","YFxL8Sc2Zy"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eH2TOUuTDT","rysDP5nf3Z","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu"],"result":"↹⩛4232254","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4605","layer":2},{"info":"number node, value=1863","layer":2},{"info":"compute binary expreesion, left_input=4605, right_input=1863, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=9210","layer":1},{"info":"number node, value=5675","layer":2},{"info":"compute unary expreesion, input=5675, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=107906","layer":1},{"info":"compute binary expreesion, left_input=9210, right_input=107906, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=206602","layer":0}],"base":6,"result_base":6,"text":"↹⩛33153∘↹⩛12343⋷(⊖∈↹⩛42135)=↹⩛4232254","reverse_text":"↹⩛4232254=↹⩛33153∘↹⩛12343⋷(⊖∈↹⩛42135)","cot":[{"info":"↹⩛33153∘↹⩛12343=↹⩛110350","layer":1},{"info":"⊖∈↹⩛42135=↹⩛2151322","layer":1},{"info":"↹⩛110350⋷↹⩛2151322=↹⩛4232254","layer":0}]}
{"id":657,"expression_no_base_symbol":"⩪∧⨌$2492$⪨⊡$2200$","expression":"⩪∧⨌↹⩛15312⪨⊡↹⩛14104","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":20,"operation_count":2,"complexity_ratio":10.0,"tree":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2492,"base":6},"right_expr":{"type":"numeric_atoms","value":2200,"base":6}}},"used_operators":["6iOiAJX1F8","kuIXHzHcAH"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2492","layer":2},{"info":"number node, value=2200","layer":2},{"info":"compute binary expreesion, left_input=2492, right_input=2200, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"⩪∧⨌↹⩛15312⪨⊡↹⩛14104=↹⩛0","reverse_text":"↹⩛0=⩪∧⨌↹⩛15312⪨⊡↹⩛14104","cot":[{"info":"↹⩛15312⪨⊡↹⩛14104=↹⩛0","layer":1},{"info":"⩪∧⨌↹⩛0=↹⩛0","layer":0}]}
{"id":658,"expression_no_base_symbol":"$3822$⪍↜⋙$3509$≒∊($4288$≃$3466$)","expression":"↹⩛25410⪍↜⋙↹⩛24125≒∊(↹⩛31504≃↹⩛24014)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":52,"operation_count":3,"complexity_ratio":17.333333333333332,"tree":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3822,"base":6},"right_expr":{"type":"numeric_atoms","value":3509,"base":6}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":4288,"base":6},"right_expr":{"type":"numeric_atoms","value":3466,"base":6}}},"used_operators":["5KTvxBwnZo","L05ObWFQCd","YbVcJGFEVW"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"↹⩛-354","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3822","layer":2},{"info":"number node, value=3509","layer":2},{"info":"compute binary expreesion, left_input=3822, right_input=3509, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=626","layer":1},{"info":"number node, value=4288","layer":2},{"info":"number node, value=3466","layer":2},{"info":"compute binary expreesion, left_input=4288, right_input=3466, 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=-17192","layer":1},{"info":"compute binary expreesion, left_input=626, right_input=-17192, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-142","layer":0}],"base":6,"result_base":6,"text":"↹⩛25410⪍↜⋙↹⩛24125≒∊(↹⩛31504≃↹⩛24014)=↹⩛-354","reverse_text":"↹⩛-354=↹⩛25410⪍↜⋙↹⩛24125≒∊(↹⩛31504≃↹⩛24014)","cot":[{"info":"↹⩛25410⪍↜⋙↹⩛24125=↹⩛2522","layer":1},{"info":"↹⩛31504≃↹⩛24014=↹⩛-211332","layer":1},{"info":"↹⩛2522≒∊↹⩛-211332=↹⩛-354","layer":0}]}
{"id":659,"expression_no_base_symbol":"$1011$⪍↜⋙$1334$≧⫂∧(⪨⨬$7942$)","expression":"↹⩛4403⪍↜⋙↹⩛10102≧⫂∧(⪨⨬↹⩛100434)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":43,"operation_count":3,"complexity_ratio":14.333333333333334,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1011,"base":6},"right_expr":{"type":"numeric_atoms","value":1334,"base":6}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":7942,"base":6}}},"used_operators":["Ph9nP6C5qx","L05ObWFQCd","5obUd6DV38"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","T2fj7uvVaJ","nlCqmYiOvY"],"result":"↹⩛-100540","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1011","layer":2},{"info":"number node, value=1334","layer":2},{"info":"compute binary expreesion, left_input=1011, right_input=1334, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-8506","layer":1},{"info":"number node, value=7942","layer":2},{"info":"compute unary expreesion, input=7942, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":1},{"info":"compute binary expreesion, left_input=-8506, right_input=-526, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-7980","layer":0}],"base":6,"result_base":6,"text":"↹⩛4403⪍↜⋙↹⩛10102≧⫂∧(⪨⨬↹⩛100434)=↹⩛-100540","reverse_text":"↹⩛-100540=↹⩛4403⪍↜⋙↹⩛10102≧⫂∧(⪨⨬↹⩛100434)","cot":[{"info":"↹⩛4403⪍↜⋙↹⩛10102=↹⩛-103214","layer":1},{"info":"⪨⨬↹⩛100434=↹⩛-2234","layer":1},{"info":"↹⩛-103214≧⫂∧↹⩛-2234=↹⩛-100540","layer":0}]}
{"id":660,"expression_no_base_symbol":"($3492$⪒$1112$)⪢($2941$⊝⪿⪼$2349$)","expression":"(↹⩛24100⪒↹⩛5052)⪢(↹⩛21341⊝⪿⪼↹⩛14513)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":44892,"operation_count":3,"complexity_ratio":14964.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3492,"base":6},"right_expr":{"type":"numeric_atoms","value":1112,"base":6}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2941,"base":6},"right_expr":{"type":"numeric_atoms","value":2349,"base":6}}},"used_operators":["dWAJyo7jo9","f6k1SAg4EE","3Oe9XWJUTD"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3492","layer":2},{"info":"number node, value=1112","layer":2},{"info":"compute binary expreesion, left_input=3492, right_input=1112, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4604","layer":1},{"info":"number node, value=2941","layer":2},{"info":"number node, value=2349","layer":2},{"info":"compute binary expreesion, left_input=2941, right_input=2349, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=43379","layer":1},{"info":"compute binary expreesion, left_input=-4604, right_input=43379, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛24100⪒↹⩛5052)⪢(↹⩛21341⊝⪿⪼↹⩛14513)=NaN","reverse_text":"NaN=(↹⩛24100⪒↹⩛5052)⪢(↹⩛21341⊝⪿⪼↹⩛14513)","cot":[{"info":"↹⩛24100⪒↹⩛5052=↹⩛-33152","layer":1},{"info":"↹⩛21341⊝⪿⪼↹⩛14513=↹⩛532455","layer":1},{"info":"↹⩛-33152⪢↹⩛532455=NaN","layer":0}]}
{"id":661,"expression_no_base_symbol":"($4037$⩏)⪍↜⋙$4153$⩦$4441$","expression":"(↹⩛30405⩏)⪍↜⋙↹⩛31121⩦↹⩛32321","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":576,"operation_count":3,"complexity_ratio":192.0,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":4037,"base":6}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":4153,"base":6},"right_expr":{"type":"numeric_atoms","value":4441,"base":6}}},"used_operators":["L05ObWFQCd","iA2gmKZ3Wj","0kmYd0q39Y"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","z6LnFrNh4i","Tcnh7f0tEr","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"↹⩛-212311","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4037","layer":2},{"info":"compute unary expreesion, input=4037, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":1},{"info":"number node, value=4153","layer":2},{"info":"number node, value=4441","layer":2},{"info":"compute binary expreesion, left_input=4153, right_input=4441, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=8306","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=8306, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-17395","layer":0}],"base":6,"result_base":6,"text":"(↹⩛30405⩏)⪍↜⋙↹⩛31121⩦↹⩛32321=↹⩛-212311","reverse_text":"↹⩛-212311=(↹⩛30405⩏)⪍↜⋙↹⩛31121⩦↹⩛32321","cot":[{"info":"↹⩛30405⩏=↹⩛0","layer":1},{"info":"↹⩛31121⩦↹⩛32321=↹⩛102242","layer":1},{"info":"↹⩛0⪍↜⋙↹⩛102242=↹⩛-212311","layer":0}]}
{"id":662,"expression_no_base_symbol":"$6196$∓⋝$2651$∖$3088$⩼⇪↪$2729$","expression":"↹⩛44404∓⋝↹⩛20135∖↹⩛22144⩼⇪↪↹⩛20345","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":236,"operation_count":3,"complexity_ratio":78.66666666666667,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":6196,"base":6},"right_expr":{"type":"numeric_atoms","value":2651,"base":6}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3088,"base":6},"right_expr":{"type":"numeric_atoms","value":2729,"base":6}}},"used_operators":["tXD093vOjl","PoHhknlbAi","ocnLzx9CaJ"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6196","layer":2},{"info":"number node, value=2651","layer":2},{"info":"compute binary expreesion, left_input=6196, right_input=2651, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"number node, value=3088","layer":2},{"info":"number node, value=2729","layer":2},{"info":"compute binary expreesion, left_input=3088, right_input=2729, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-13710","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-13710, 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":6,"result_base":6,"text":"↹⩛44404∓⋝↹⩛20135∖↹⩛22144⩼⇪↪↹⩛20345=↹⩛0","reverse_text":"↹⩛0=↹⩛44404∓⋝↹⩛20135∖↹⩛22144⩼⇪↪↹⩛20345","cot":[{"info":"↹⩛44404∓⋝↹⩛20135=↹⩛151","layer":1},{"info":"↹⩛22144⩼⇪↪↹⩛20345=↹⩛-143250","layer":1},{"info":"↹⩛151∖↹⩛-143250=↹⩛0","layer":0}]}
{"id":663,"expression_no_base_symbol":"($2157$⇴∐$1933$)⫉⨲⊜($4390$≬⋮$2670$)","expression":"(↹⩛13553⇴∐↹⩛12541)⫉⨲⊜(↹⩛32154≬⋮↹⩛20210)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":52,"operation_count":3,"complexity_ratio":17.333333333333332,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2157,"base":6},"right_expr":{"type":"numeric_atoms","value":1933,"base":6}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":4390,"base":6},"right_expr":{"type":"numeric_atoms","value":2670,"base":6}}},"used_operators":["WhqkvtTD3t","HnzytWxmAO","kbkesczE7y"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2157","layer":2},{"info":"number node, value=1933","layer":2},{"info":"compute binary expreesion, left_input=2157, right_input=1933, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"number node, value=4390","layer":2},{"info":"number node, value=2670","layer":2},{"info":"compute binary expreesion, left_input=4390, right_input=2670, 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 = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛13553⇴∐↹⩛12541)⫉⨲⊜(↹⩛32154≬⋮↹⩛20210)=NaN","reverse_text":"NaN=(↹⩛13553⇴∐↹⩛12541)⫉⨲⊜(↹⩛32154≬⋮↹⩛20210)","cot":[{"info":"↹⩛13553⇴∐↹⩛12541=NaN","layer":1},{"info":"↹⩛32154≬⋮↹⩛20210=↹⩛4004","layer":1},{"info":"NaN⫉⨲⊜↹⩛4004=NaN","layer":0}]}
{"id":664,"expression_no_base_symbol":"$3655$⊮⊟↴$1144$⊬⨰($3898$⩘$1005$)","expression":"↹⩛24531⊮⊟↴↹⩛5144⊬⨰(↹⩛30014⩘↹⩛4353)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":146,"operation_count":3,"complexity_ratio":48.666666666666664,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":3655,"base":6},"right_expr":{"type":"numeric_atoms","value":1144,"base":6}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":3898,"base":6},"right_expr":{"type":"numeric_atoms","value":1005,"base":6}}},"used_operators":["s3Fd5m9Dh2","QDVgd2eftb","cHh1gJQ2o6"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"↹⩛2544","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3655","layer":2},{"info":"number node, value=1144","layer":2},{"info":"compute binary expreesion, left_input=3655, right_input=1144, 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=3898","layer":2},{"info":"number node, value=1005","layer":2},{"info":"compute binary expreesion, left_input=3898, right_input=1005, 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=0, right_input=160, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=640","layer":0}],"base":6,"result_base":6,"text":"↹⩛24531⊮⊟↴↹⩛5144⊬⨰(↹⩛30014⩘↹⩛4353)=↹⩛2544","reverse_text":"↹⩛2544=↹⩛24531⊮⊟↴↹⩛5144⊬⨰(↹⩛30014⩘↹⩛4353)","cot":[{"info":"↹⩛24531⊮⊟↴↹⩛5144=↹⩛0","layer":1},{"info":"↹⩛30014⩘↹⩛4353=↹⩛424","layer":1},{"info":"↹⩛0⊬⨰↹⩛424=↹⩛2544","layer":0}]}
{"id":665,"expression_no_base_symbol":"(⋗⩴⪓$1190$)⪨⊡(⪓⩚$6509$)","expression":"(⋗⩴⪓↹⩛5302)⪨⊡(⪓⩚↹⩛50045)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4611,"operation_count":3,"complexity_ratio":1537.0,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":1190,"base":6}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":6509,"base":6}}},"used_operators":["kuIXHzHcAH","nOKPl9n5zu","u0R0Locfp2"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1190","layer":2},{"info":"compute unary expreesion, input=1190, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-277","layer":1},{"info":"number node, value=6509","layer":2},{"info":"compute unary expreesion, input=6509, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":1},{"info":"compute binary expreesion, left_input=-277, right_input=426, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"(⋗⩴⪓↹⩛5302)⪨⊡(⪓⩚↹⩛50045)=↹⩛0","reverse_text":"↹⩛0=(⋗⩴⪓↹⩛5302)⪨⊡(⪓⩚↹⩛50045)","cot":[{"info":"⋗⩴⪓↹⩛5302=↹⩛-1141","layer":1},{"info":"⪓⩚↹⩛50045=↹⩛1550","layer":1},{"info":"↹⩛-1141⪨⊡↹⩛1550=↹⩛0","layer":0}]}
{"id":666,"expression_no_base_symbol":"⨈⫕$2069$→⨶⪴$2253$","expression":"⨈⫕↹⩛13325→⨶⪴↹⩛14233","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":389,"operation_count":2,"complexity_ratio":194.5,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2069,"base":6},"right_expr":{"type":"numeric_atoms","value":2253,"base":6}}},"used_operators":["megm06wKyl","bF6eod5Gvf"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","8w2t5hMYqp","9FxExcQeMw"],"result":"↹⩛-33","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2069","layer":2},{"info":"number node, value=2253","layer":2},{"info":"compute binary expreesion, left_input=2069, right_input=2253, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-6759","layer":1},{"info":"compute unary expreesion, input=-6759, 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":6,"result_base":6,"text":"⨈⫕↹⩛13325→⨶⪴↹⩛14233=↹⩛-33","reverse_text":"↹⩛-33=⨈⫕↹⩛13325→⨶⪴↹⩛14233","cot":[{"info":"↹⩛13325→⨶⪴↹⩛14233=↹⩛-51143","layer":1},{"info":"⨈⫕↹⩛-51143=↹⩛-33","layer":0}]}
{"id":667,"expression_no_base_symbol":"(⪸$6799$)⪨≂(⪨⨬$1077$)","expression":"(⪸↹⩛51251)⪨≂(⪨⨬↹⩛4553)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":55,"operation_count":3,"complexity_ratio":18.333333333333332,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":6799,"base":6}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":1077,"base":6}}},"used_operators":["sdazOOVcIp","86A5ENbKR9","5obUd6DV38"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","T2fj7uvVaJ","nlCqmYiOvY"],"result":"↹⩛-4530534","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6799","layer":2},{"info":"compute unary expreesion, input=6799, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-115374","layer":1},{"info":"number node, value=1077","layer":2},{"info":"compute unary expreesion, input=1077, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":1},{"info":"compute binary expreesion, left_input=-115374, right_input=-526, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-229594","layer":0}],"base":6,"result_base":6,"text":"(⪸↹⩛51251)⪨≂(⪨⨬↹⩛4553)=↹⩛-4530534","reverse_text":"↹⩛-4530534=(⪸↹⩛51251)⪨≂(⪨⨬↹⩛4553)","cot":[{"info":"⪸↹⩛51251=↹⩛-2250050","layer":1},{"info":"⪨⨬↹⩛4553=↹⩛-2234","layer":1},{"info":"↹⩛-2250050⪨≂↹⩛-2234=↹⩛-4530534","layer":0}]}
{"id":668,"expression_no_base_symbol":"⇖⫷⫕$2931$⨑⩅≇$7768$","expression":"⇖⫷⫕↹⩛21323⨑⩅≇↹⩛55544","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8683,"operation_count":2,"complexity_ratio":4341.5,"tree":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":2931,"base":6},"right_expr":{"type":"numeric_atoms","value":7768,"base":6}}},"used_operators":["UHmRx3INFg","h92wMvzauj"],"dependent_operators":["DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"↹⩛21022","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2931","layer":2},{"info":"number node, value=7768","layer":2},{"info":"compute binary expreesion, left_input=2931, right_input=7768, 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=-8793","layer":1},{"info":"compute unary expreesion, input=-8793, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":0}],"base":6,"result_base":6,"text":"⇖⫷⫕↹⩛21323⨑⩅≇↹⩛55544=↹⩛21022","reverse_text":"↹⩛21022=⇖⫷⫕↹⩛21323⨑⩅≇↹⩛55544","cot":[{"info":"↹⩛21323⨑⩅≇↹⩛55544=↹⩛-104413","layer":1},{"info":"⇖⫷⫕↹⩛-104413=↹⩛21022","layer":0}]}
{"id":669,"expression_no_base_symbol":"($1505$≃$1166$)⫞⩸⩒($4044$↺$1123$)","expression":"(↹⩛10545≃↹⩛5222)⫞⩸⩒(↹⩛30420↺↹⩛5111)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22,"operation_count":3,"complexity_ratio":7.333333333333333,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1505,"base":6},"right_expr":{"type":"numeric_atoms","value":1166,"base":6}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4044,"base":6},"right_expr":{"type":"numeric_atoms","value":1123,"base":6}}},"used_operators":["XGcMNugi78","YbVcJGFEVW","7j4O788W3g"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛-44020","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1505","layer":2},{"info":"number node, value=1166","layer":2},{"info":"compute binary expreesion, left_input=1505, right_input=1166, 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=-6060","layer":1},{"info":"number node, value=4044","layer":2},{"info":"number node, value=1123","layer":2},{"info":"compute binary expreesion, left_input=4044, right_input=1123, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1123","layer":1},{"info":"compute binary expreesion, left_input=-6060, right_input=1123, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-6060","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10545≃↹⩛5222)⫞⩸⩒(↹⩛30420↺↹⩛5111)=↹⩛-44020","reverse_text":"↹⩛-44020=(↹⩛10545≃↹⩛5222)⫞⩸⩒(↹⩛30420↺↹⩛5111)","cot":[{"info":"↹⩛10545≃↹⩛5222=↹⩛-44020","layer":1},{"info":"↹⩛30420↺↹⩛5111=↹⩛5111","layer":1},{"info":"↹⩛-44020⫞⩸⩒↹⩛5111=↹⩛-44020","layer":0}]}
{"id":670,"expression_no_base_symbol":"(⊈$2819$)⩘($2678$⩒⫫$1175$)","expression":"(⊈↹⩛21015)⩘(↹⩛20222⩒⫫↹⩛5235)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9088,"operation_count":3,"complexity_ratio":3029.3333333333335,"tree":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":2819,"base":6}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2678,"base":6},"right_expr":{"type":"numeric_atoms","value":1175,"base":6}}},"used_operators":["cHh1gJQ2o6","RHru8klgy8","KFSx94NKJn"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","12rbrZMWeM","xUOZtlo3hN","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2819","layer":2},{"info":"compute unary expreesion, input=2819, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-2993","layer":1},{"info":"number node, value=2678","layer":2},{"info":"number node, value=1175","layer":2},{"info":"compute binary expreesion, left_input=2678, 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=2376","layer":1},{"info":"compute binary expreesion, left_input=-2993, right_input=2376, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":6,"result_base":6,"text":"(⊈↹⩛21015)⩘(↹⩛20222⩒⫫↹⩛5235)=↹⩛424","reverse_text":"↹⩛424=(⊈↹⩛21015)⩘(↹⩛20222⩒⫫↹⩛5235)","cot":[{"info":"⊈↹⩛21015=↹⩛-21505","layer":1},{"info":"↹⩛20222⩒⫫↹⩛5235=↹⩛15000","layer":1},{"info":"↹⩛-21505⩘↹⩛15000=↹⩛424","layer":0}]}
{"id":671,"expression_no_base_symbol":"($4235$⨽$2799$)≧⫂∧$2421$⩼⇪↪$5385$","expression":"(↹⩛31335⨽↹⩛20543)≧⫂∧↹⩛15113⩼⇪↪↹⩛40533","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4258,"operation_count":3,"complexity_ratio":1419.3333333333333,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4235,"base":6},"right_expr":{"type":"numeric_atoms","value":2799,"base":6}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":2421,"base":6},"right_expr":{"type":"numeric_atoms","value":5385,"base":6}}},"used_operators":["Ph9nP6C5qx","8HhzD0ZcuI","ocnLzx9CaJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"↹⩛-5200401230","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4235","layer":2},{"info":"number node, value=2799","layer":2},{"info":"compute binary expreesion, left_input=4235, right_input=2799, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-53812758","layer":1},{"info":"number node, value=2421","layer":2},{"info":"number node, value=5385","layer":2},{"info":"compute binary expreesion, left_input=2421, right_input=5385, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-33636","layer":1},{"info":"compute binary expreesion, left_input=-53812758, right_input=-33636, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-53779122","layer":0}],"base":6,"result_base":6,"text":"(↹⩛31335⨽↹⩛20543)≧⫂∧↹⩛15113⩼⇪↪↹⩛40533=↹⩛-5200401230","reverse_text":"↹⩛-5200401230=(↹⩛31335⨽↹⩛20543)≧⫂∧↹⩛15113⩼⇪↪↹⩛40533","cot":[{"info":"↹⩛31335⨽↹⩛20543=↹⩛-5201221050","layer":1},{"info":"↹⩛15113⩼⇪↪↹⩛40533=↹⩛-415420","layer":1},{"info":"↹⩛-5201221050≧⫂∧↹⩛-415420=↹⩛-5200401230","layer":0}]}
{"id":672,"expression_no_base_symbol":"($3725$*$3532$)⩒⫫$2779$≝⊿$2312$","expression":"(↹⩛25125*↹⩛24204)⩒⫫↹⩛20511≝⊿↹⩛14412","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3570,"operation_count":3,"complexity_ratio":1190.0,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3725,"base":6},"right_expr":{"type":"numeric_atoms","value":3532,"base":6}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2779,"base":6},"right_expr":{"type":"numeric_atoms","value":2312,"base":6}}},"used_operators":["KFSx94NKJn","9HNa5Wba9A","OKKcZfAt5B"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","12rbrZMWeM"],"result":"↹⩛1145553130","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3725","layer":2},{"info":"number node, value=3532","layer":2},{"info":"compute binary expreesion, left_input=3725, right_input=3532, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=13156700","layer":1},{"info":"number node, value=2779","layer":2},{"info":"number node, value=2312","layer":2},{"info":"compute binary expreesion, left_input=2779, right_input=2312, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-7936","layer":1},{"info":"compute binary expreesion, left_input=13156700, right_input=-7936, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=13156398","layer":0}],"base":6,"result_base":6,"text":"(↹⩛25125*↹⩛24204)⩒⫫↹⩛20511≝⊿↹⩛14412=↹⩛1145553130","reverse_text":"↹⩛1145553130=(↹⩛25125*↹⩛24204)⩒⫫↹⩛20511≝⊿↹⩛14412","cot":[{"info":"↹⩛25125*↹⩛24204=↹⩛1145554352","layer":1},{"info":"↹⩛20511≝⊿↹⩛14412=↹⩛-100424","layer":1},{"info":"↹⩛1145554352⩒⫫↹⩛-100424=↹⩛1145553130","layer":0}]}
{"id":673,"expression_no_base_symbol":"($1970$∪⫐$1129$)↺($6527$⪨≂$1795$)","expression":"(↹⩛13042∪⫐↹⩛5121)↺(↹⩛50115⪨≂↹⩛12151)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1970,"base":6},"right_expr":{"type":"numeric_atoms","value":1129,"base":6}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6527,"base":6},"right_expr":{"type":"numeric_atoms","value":1795,"base":6}}},"used_operators":["7j4O788W3g","7YooWSwCyH","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛112142","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1970","layer":2},{"info":"number node, value=1129","layer":2},{"info":"compute binary expreesion, left_input=1970, right_input=1129, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1970","layer":1},{"info":"number node, value=6527","layer":2},{"info":"number node, value=1795","layer":2},{"info":"compute binary expreesion, left_input=6527, right_input=1795, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=9566","layer":1},{"info":"compute binary expreesion, left_input=1970, right_input=9566, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=9566","layer":0}],"base":6,"result_base":6,"text":"(↹⩛13042∪⫐↹⩛5121)↺(↹⩛50115⪨≂↹⩛12151)=↹⩛112142","reverse_text":"↹⩛112142=(↹⩛13042∪⫐↹⩛5121)↺(↹⩛50115⪨≂↹⩛12151)","cot":[{"info":"↹⩛13042∪⫐↹⩛5121=↹⩛13042","layer":1},{"info":"↹⩛50115⪨≂↹⩛12151=↹⩛112142","layer":1},{"info":"↹⩛13042↺↹⩛112142=↹⩛112142","layer":0}]}
{"id":674,"expression_no_base_symbol":"($2005$⋅⇍$1226$)⩺⪪(⪛⨧$2348$)","expression":"(↹⩛13141⋅⇍↹⩛5402)⩺⪪(⪛⨧↹⩛14512)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":138,"operation_count":3,"complexity_ratio":46.0,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2005,"base":6},"right_expr":{"type":"numeric_atoms","value":1226,"base":6}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":2348,"base":6}}},"used_operators":["uvdQJvN4PV","AdZkA7nFnk","6NJAcO2OWT"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe"],"result":"↹⩛-2201310","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2005","layer":2},{"info":"number node, value=1226","layer":2},{"info":"compute binary expreesion, left_input=2005, right_input=1226, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"number node, value=2348","layer":2},{"info":"compute unary expreesion, input=2348, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=6097","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=6097, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-109194","layer":0}],"base":6,"result_base":6,"text":"(↹⩛13141⋅⇍↹⩛5402)⩺⪪(⪛⨧↹⩛14512)=↹⩛-2201310","reverse_text":"↹⩛-2201310=(↹⩛13141⋅⇍↹⩛5402)⩺⪪(⪛⨧↹⩛14512)","cot":[{"info":"↹⩛13141⋅⇍↹⩛5402=↹⩛-34","layer":1},{"info":"⪛⨧↹⩛14512=↹⩛44121","layer":1},{"info":"↹⩛-34⩺⪪↹⩛44121=↹⩛-2201310","layer":0}]}
{"id":675,"expression_no_base_symbol":"⨰⫟⨤$1181$⫗⊷⫓$4309$","expression":"⨰⫟⨤↹⩛5245⫗⊷⫓↹⩛31541","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2083,"operation_count":2,"complexity_ratio":1041.5,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1181,"base":6},"right_expr":{"type":"numeric_atoms","value":4309,"base":6}}},"used_operators":["Tw270M8GLb","zashukvMKz"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1181","layer":2},{"info":"number node, value=4309","layer":2},{"info":"compute binary expreesion, left_input=1181, right_input=4309, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⨰⫟⨤↹⩛5245⫗⊷⫓↹⩛31541=NaN","reverse_text":"NaN=⨰⫟⨤↹⩛5245⫗⊷⫓↹⩛31541","cot":[{"info":"↹⩛5245⫗⊷⫓↹⩛31541=↹⩛-342","layer":1},{"info":"⨰⫟⨤↹⩛-342=NaN","layer":0}]}
{"id":676,"expression_no_base_symbol":"⇵⪽(∤$3730$)","expression":"⇵⪽(∤↹⩛25134)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":89,"operation_count":2,"complexity_ratio":44.5,"tree":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":3730,"base":6}}},"used_operators":["ZGCBLdVRRX","k2HlF1dBQh"],"dependent_operators":["U7g4x0WXJJ","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3730","layer":2},{"info":"compute unary expreesion, input=3730, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":1},{"info":"compute unary expreesion, input=9, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⇵⪽(∤↹⩛25134)=NaN","reverse_text":"NaN=⇵⪽(∤↹⩛25134)","cot":[{"info":"∤↹⩛25134=↹⩛13","layer":1},{"info":"⇵⪽↹⩛13=NaN","layer":0}]}
{"id":677,"expression_no_base_symbol":"($1204$⩷∴$2282$)⨂≜(⨩∲⋌$6002$)","expression":"(↹⩛5324⩷∴↹⩛14322)⨂≜(⨩∲⋌↹⩛43442)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2231,"operation_count":3,"complexity_ratio":743.6666666666666,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1204,"base":6},"right_expr":{"type":"numeric_atoms","value":2282,"base":6}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":6002,"base":6}}},"used_operators":["k1SHOSEABc","9FxExcQeMw","aSik1wnThz"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","rysDP5nf3Z","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1204","layer":2},{"info":"number node, value=2282","layer":2},{"info":"compute binary expreesion, left_input=1204, right_input=2282, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2188","layer":1},{"info":"number node, value=6002","layer":2},{"info":"compute unary expreesion, input=6002, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-6525","layer":1},{"info":"compute binary expreesion, left_input=-2188, right_input=-6525, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5324⩷∴↹⩛14322)⨂≜(⨩∲⋌↹⩛43442)=NaN","reverse_text":"NaN=(↹⩛5324⩷∴↹⩛14322)⨂≜(⨩∲⋌↹⩛43442)","cot":[{"info":"↹⩛5324⩷∴↹⩛14322=↹⩛-14044","layer":1},{"info":"⨩∲⋌↹⩛43442=↹⩛-50113","layer":1},{"info":"↹⩛-14044⨂≜↹⩛-50113=NaN","layer":0}]}
{"id":678,"expression_no_base_symbol":"↽≂$2324$⩧⪆$5553$","expression":"↽≂↹⩛14432⩧⪆↹⩛41413","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2324,"base":6},"right_expr":{"type":"numeric_atoms","value":5553,"base":6}}},"used_operators":["u6S6b8DprG","Ikt5ks8PT7"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eewbuw0ToL","t8gj7n24qd"],"result":"↹⩛123230","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2324","layer":2},{"info":"number node, value=5553","layer":2},{"info":"compute binary expreesion, left_input=2324, right_input=5553, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-5553","layer":1},{"info":"compute unary expreesion, input=-5553, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=11106","layer":0}],"base":6,"result_base":6,"text":"↽≂↹⩛14432⩧⪆↹⩛41413=↹⩛123230","reverse_text":"↹⩛123230=↽≂↹⩛14432⩧⪆↹⩛41413","cot":[{"info":"↹⩛14432⩧⪆↹⩛41413=↹⩛-41413","layer":1},{"info":"↽≂↹⩛-41413=↹⩛123230","layer":0}]}
{"id":679,"expression_no_base_symbol":"($2957$⪨⊡$2389$)→⨶⪴$1437$⪒⊣⊆$2607$","expression":"(↹⩛21405⪨⊡↹⩛15021)→⨶⪴↹⩛10353⪒⊣⊆↹⩛20023","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16,"operation_count":3,"complexity_ratio":5.333333333333333,"tree":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2957,"base":6},"right_expr":{"type":"numeric_atoms","value":2389,"base":6}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1437,"base":6},"right_expr":{"type":"numeric_atoms","value":2607,"base":6}}},"used_operators":["bF6eod5Gvf","kuIXHzHcAH","eRqsBgTDFp"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","sdazOOVcIp","W4YGzv6Whe"],"result":"↹⩛-103530","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2957","layer":2},{"info":"number node, value=2389","layer":2},{"info":"compute binary expreesion, left_input=2957, right_input=2389, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=1437","layer":2},{"info":"number node, value=2607","layer":2},{"info":"compute binary expreesion, left_input=1437, right_input=2607, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2874","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2874, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-8622","layer":0}],"base":6,"result_base":6,"text":"(↹⩛21405⪨⊡↹⩛15021)→⨶⪴↹⩛10353⪒⊣⊆↹⩛20023=↹⩛-103530","reverse_text":"↹⩛-103530=(↹⩛21405⪨⊡↹⩛15021)→⨶⪴↹⩛10353⪒⊣⊆↹⩛20023","cot":[{"info":"↹⩛21405⪨⊡↹⩛15021=↹⩛0","layer":1},{"info":"↹⩛10353⪒⊣⊆↹⩛20023=↹⩛21150","layer":1},{"info":"↹⩛0→⨶⪴↹⩛21150=↹⩛-103530","layer":0}]}
{"id":680,"expression_no_base_symbol":"⋠∜($1847$⪥$1948$)","expression":"⋠∜(↹⩛12315⪥↹⩛13004)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":44,"operation_count":2,"complexity_ratio":22.0,"tree":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1847,"base":6},"right_expr":{"type":"numeric_atoms","value":1948,"base":6}}},"used_operators":["ZJpFhNJr3x","QbnwKVWMIQ"],"dependent_operators":["X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"↹⩛1025312","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1847","layer":2},{"info":"number node, value=1948","layer":2},{"info":"compute binary expreesion, left_input=1847, right_input=1948, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=12040","layer":1},{"info":"compute unary expreesion, input=12040, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=50444","layer":0}],"base":6,"result_base":6,"text":"⋠∜(↹⩛12315⪥↹⩛13004)=↹⩛1025312","reverse_text":"↹⩛1025312=⋠∜(↹⩛12315⪥↹⩛13004)","cot":[{"info":"↹⩛12315⪥↹⩛13004=↹⩛131424","layer":1},{"info":"⋠∜↹⩛131424=↹⩛1025312","layer":0}]}
{"id":681,"expression_no_base_symbol":"($2082$⪇≇⋚$2025$)⪝($3106$⩦$5526$)","expression":"(↹⩛13350⪇≇⋚↹⩛13213)⪝(↹⩛22214⩦↹⩛41330)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":441,"operation_count":3,"complexity_ratio":147.0,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2082,"base":6},"right_expr":{"type":"numeric_atoms","value":2025,"base":6}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":3106,"base":6},"right_expr":{"type":"numeric_atoms","value":5526,"base":6}}},"used_operators":["wicAB68Tmb","3sJ7IOPOlU","0kmYd0q39Y"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"↹⩛1033","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2082","layer":2},{"info":"number node, value=2025","layer":2},{"info":"compute binary expreesion, left_input=2082, right_input=2025, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=3106","layer":2},{"info":"number node, value=5526","layer":2},{"info":"compute binary expreesion, left_input=3106, right_input=5526, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=6212","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=6212, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":0}],"base":6,"result_base":6,"text":"(↹⩛13350⪇≇⋚↹⩛13213)⪝(↹⩛22214⩦↹⩛41330)=↹⩛1033","reverse_text":"↹⩛1033=(↹⩛13350⪇≇⋚↹⩛13213)⪝(↹⩛22214⩦↹⩛41330)","cot":[{"info":"↹⩛13350⪇≇⋚↹⩛13213=↹⩛0","layer":1},{"info":"↹⩛22214⩦↹⩛41330=↹⩛44432","layer":1},{"info":"↹⩛0⪝↹⩛44432=↹⩛1033","layer":0}]}
{"id":682,"expression_no_base_symbol":"$1702$⪎↠$7659$⋛(⇾⩊⇾$1695$)","expression":"↹⩛11514⪎↠↹⩛55243⋛(⇾⩊⇾↹⩛11503)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":82,"operation_count":3,"complexity_ratio":27.333333333333332,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1702,"base":6},"right_expr":{"type":"numeric_atoms","value":7659,"base":6}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":1695,"base":6}}},"used_operators":["YbUVn0Rbpy","3tVxb0NHM4","bx9Z9DAK5y"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q"],"result":"↹⩛-1214550","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1702","layer":2},{"info":"number node, value=7659","layer":2},{"info":"compute binary expreesion, left_input=1702, right_input=7659, 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=1695","layer":2},{"info":"compute unary expreesion, input=1695, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-21741","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-21741, 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=-64578","layer":0}],"base":6,"result_base":6,"text":"↹⩛11514⪎↠↹⩛55243⋛(⇾⩊⇾↹⩛11503)=↹⩛-1214550","reverse_text":"↹⩛-1214550=↹⩛11514⪎↠↹⩛55243⋛(⇾⩊⇾↹⩛11503)","cot":[{"info":"↹⩛11514⪎↠↹⩛55243=↹⩛424","layer":1},{"info":"⇾⩊⇾↹⩛11503=↹⩛-244353","layer":1},{"info":"↹⩛424⋛↹⩛-244353=↹⩛-1214550","layer":0}]}
{"id":683,"expression_no_base_symbol":"$5402$⪃⊛⇣$3312$⨔⇊($7827$≭$2507$)","expression":"↹⩛41002⪃⊛⇣↹⩛23200⨔⇊(↹⩛100123≭↹⩛15335)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":574,"operation_count":3,"complexity_ratio":191.33333333333334,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":5402,"base":6},"right_expr":{"type":"numeric_atoms","value":3312,"base":6}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7827,"base":6},"right_expr":{"type":"numeric_atoms","value":2507,"base":6}}},"used_operators":["JclMnS0uGI","rrgAzCduG9","rxpJgHHUmx"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5402","layer":2},{"info":"number node, value=3312","layer":2},{"info":"compute binary expreesion, left_input=5402, right_input=3312, 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=7827","layer":2},{"info":"number node, value=2507","layer":2},{"info":"compute binary expreesion, left_input=7827, right_input=2507, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1234, 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":6,"result_base":6,"text":"↹⩛41002⪃⊛⇣↹⩛23200⨔⇊(↹⩛100123≭↹⩛15335)=NaN","reverse_text":"NaN=↹⩛41002⪃⊛⇣↹⩛23200⨔⇊(↹⩛100123≭↹⩛15335)","cot":[{"info":"↹⩛41002⪃⊛⇣↹⩛23200=↹⩛5414","layer":1},{"info":"↹⩛100123≭↹⩛15335=NaN","layer":1},{"info":"↹⩛5414⨔⇊NaN=NaN","layer":0}]}
{"id":684,"expression_no_base_symbol":"⋣($3149$≓∲$4998$)","expression":"⋣(↹⩛22325≓∲↹⩛35050)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":221,"operation_count":2,"complexity_ratio":110.5,"tree":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":3149,"base":6},"right_expr":{"type":"numeric_atoms","value":4998,"base":6}}},"used_operators":["zQWRhDnn8F","s1XTVnmDOJ"],"dependent_operators":["vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"↹⩛-535210411","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3149","layer":2},{"info":"number node, value=4998","layer":2},{"info":"compute binary expreesion, left_input=3149, right_input=4998, 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=32273","layer":1},{"info":"compute unary expreesion, input=32273, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-9488167","layer":0}],"base":6,"result_base":6,"text":"⋣(↹⩛22325≓∲↹⩛35050)=↹⩛-535210411","reverse_text":"↹⩛-535210411=⋣(↹⩛22325≓∲↹⩛35050)","cot":[{"info":"↹⩛22325≓∲↹⩛35050=↹⩛405225","layer":1},{"info":"⋣↹⩛405225=↹⩛-535210411","layer":0}]}
{"id":685,"expression_no_base_symbol":"⊑$1383$≌$4951$","expression":"⊑↹⩛10223≌↹⩛34531","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5491,"operation_count":2,"complexity_ratio":2745.5,"tree":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1383,"base":6},"right_expr":{"type":"numeric_atoms","value":4951,"base":6}}},"used_operators":["IkUmn0D7oy","lyWz822IDG"],"dependent_operators":["oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"↹⩛520","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1383","layer":2},{"info":"number node, value=4951","layer":2},{"info":"compute binary expreesion, left_input=1383, right_input=4951, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":0}],"base":6,"result_base":6,"text":"⊑↹⩛10223≌↹⩛34531=↹⩛520","reverse_text":"↹⩛520=⊑↹⩛10223≌↹⩛34531","cot":[{"info":"↹⩛10223≌↹⩛34531=NaN","layer":1},{"info":"⊑NaN=↹⩛520","layer":0}]}
{"id":686,"expression_no_base_symbol":"($4518$⊭↱$2309$)⫿","expression":"(↹⩛32530⊭↱↹⩛14405)⫿","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4518,"base":6},"right_expr":{"type":"numeric_atoms","value":2309,"base":6}}},"used_operators":["9tKT6PmtkH","COABgblf1C"],"dependent_operators":["DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛104510","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4518","layer":2},{"info":"number node, value=2309","layer":2},{"info":"compute binary expreesion, left_input=4518, right_input=2309, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4413","layer":1},{"info":"compute unary expreesion, input=-4413, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=8826","layer":0}],"base":6,"result_base":6,"text":"(↹⩛32530⊭↱↹⩛14405)⫿=↹⩛104510","reverse_text":"↹⩛104510=(↹⩛32530⊭↱↹⩛14405)⫿","cot":[{"info":"↹⩛32530⊭↱↹⩛14405=↹⩛-32233","layer":1},{"info":"↹⩛-32233⫿=↹⩛104510","layer":0}]}
{"id":687,"expression_no_base_symbol":"$1963$∙∹∝$4101$⫳≱↱($5137$⪁$1270$)","expression":"↹⩛13031∙∹∝↹⩛30553⫳≱↱(↹⩛35441⪁↹⩛5514)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":20059027,"operation_count":3,"complexity_ratio":6686342.333333333,"tree":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1963,"base":6},"right_expr":{"type":"numeric_atoms","value":4101,"base":6}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":5137,"base":6},"right_expr":{"type":"numeric_atoms","value":1270,"base":6}}},"used_operators":["ZvLB05nZmT","HmxsFra2vL","I7sXao9hZE"],"dependent_operators":["2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"↹⩛-540","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1963","layer":2},{"info":"number node, value=4101","layer":2},{"info":"compute binary expreesion, left_input=1963, right_input=4101, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=5137","layer":2},{"info":"number node, value=1270","layer":2},{"info":"compute binary expreesion, left_input=5137, right_input=1270, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":0}],"base":6,"result_base":6,"text":"↹⩛13031∙∹∝↹⩛30553⫳≱↱(↹⩛35441⪁↹⩛5514)=↹⩛-540","reverse_text":"↹⩛-540=↹⩛13031∙∹∝↹⩛30553⫳≱↱(↹⩛35441⪁↹⩛5514)","cot":[{"info":"↹⩛13031∙∹∝↹⩛30553=↹⩛0","layer":1},{"info":"↹⩛35441⪁↹⩛5514=NaN","layer":1},{"info":"↹⩛0⫳≱↱NaN=↹⩛-540","layer":0}]}
{"id":688,"expression_no_base_symbol":"$1364$↳∿⪆$1073$⫔⩽⩺(↩$1359$)","expression":"↹⩛10152↳∿⪆↹⩛4545⫔⩽⩺(↩↹⩛10143)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2432,"operation_count":3,"complexity_ratio":810.6666666666666,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1364,"base":6},"right_expr":{"type":"numeric_atoms","value":1073,"base":6}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1359,"base":6}}},"used_operators":["i9eR4S00cU","Cw4SuJJGHO","jLgFTUHLKL"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1364","layer":2},{"info":"number node, value=1073","layer":2},{"info":"compute binary expreesion, left_input=1364, right_input=1073, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"number node, value=1359","layer":2},{"info":"compute unary expreesion, input=1359, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-8092","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-8092, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛10152↳∿⪆↹⩛4545⫔⩽⩺(↩↹⩛10143)=NaN","reverse_text":"NaN=↹⩛10152↳∿⪆↹⩛4545⫔⩽⩺(↩↹⩛10143)","cot":[{"info":"↹⩛10152↳∿⪆↹⩛4545=NaN","layer":1},{"info":"↩↹⩛10143=↹⩛-101244","layer":1},{"info":"NaN⫔⩽⩺↹⩛-101244=NaN","layer":0}]}
{"id":689,"expression_no_base_symbol":"($3973$⩹$2808$)∠⫱(⊊≼∋$2428$)","expression":"(↹⩛30221⩹↹⩛21000)∠⫱(⊊≼∋↹⩛15124)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2470,"operation_count":3,"complexity_ratio":823.3333333333334,"tree":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":3973,"base":6},"right_expr":{"type":"numeric_atoms","value":2808,"base":6}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":2428,"base":6}}},"used_operators":["QvoQhV0rrE","2Wsdkap16l","FWz7pXsQhA"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","B5M0gjZbta","jCPkEVoL5K"],"result":"↹⩛23021","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3973","layer":2},{"info":"number node, value=2808","layer":2},{"info":"compute binary expreesion, left_input=3973, right_input=2808, 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=2806","layer":1},{"info":"number node, value=2428","layer":2},{"info":"compute unary expreesion, input=2428, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=2806, right_input=-447, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=3253","layer":0}],"base":6,"result_base":6,"text":"(↹⩛30221⩹↹⩛21000)∠⫱(⊊≼∋↹⩛15124)=↹⩛23021","reverse_text":"↹⩛23021=(↹⩛30221⩹↹⩛21000)∠⫱(⊊≼∋↹⩛15124)","cot":[{"info":"↹⩛30221⩹↹⩛21000=↹⩛20554","layer":1},{"info":"⊊≼∋↹⩛15124=↹⩛-2023","layer":1},{"info":"↹⩛20554∠⫱↹⩛-2023=↹⩛23021","layer":0}]}
{"id":690,"expression_no_base_symbol":"($3386$⩇∃⫛$1966$)⪘⫢($2619$≝⊰⇂)","expression":"(↹⩛23402⩇∃⫛↹⩛13034)⪘⫢(↹⩛20043≝⊰⇂)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1443,"operation_count":3,"complexity_ratio":481.0,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":3386,"base":6},"right_expr":{"type":"numeric_atoms","value":1966,"base":6}},"right_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":2619,"base":6}}},"used_operators":["oacrs7FA3X","1aApVXNlOP","htSmYCowi5"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","9FxExcQeMw","DlLNRPXxWL"],"result":"↹⩛-1","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3386","layer":2},{"info":"number node, value=1966","layer":2},{"info":"compute binary expreesion, left_input=3386, right_input=1966, 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=-947","layer":1},{"info":"number node, value=2619","layer":2},{"info":"compute unary expreesion, input=2619, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-947, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":0}],"base":6,"result_base":6,"text":"(↹⩛23402⩇∃⫛↹⩛13034)⪘⫢(↹⩛20043≝⊰⇂)=↹⩛-1","reverse_text":"↹⩛-1=(↹⩛23402⩇∃⫛↹⩛13034)⪘⫢(↹⩛20043≝⊰⇂)","cot":[{"info":"↹⩛23402⩇∃⫛↹⩛13034=↹⩛-4215","layer":1},{"info":"↹⩛20043≝⊰⇂=↹⩛0","layer":1},{"info":"↹⩛-4215⪘⫢↹⩛0=↹⩛-1","layer":0}]}
{"id":691,"expression_no_base_symbol":"($3970$∌$1299$)∺≝⩲($1954$⋐⇩⊬)","expression":"(↹⩛30214∌↹⩛10003)∺≝⩲(↹⩛13014⋐⇩⊬)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":3970,"base":6},"right_expr":{"type":"numeric_atoms","value":1299,"base":6}},"right_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":1954,"base":6}}},"used_operators":["KPf6cnQVty","8cLx32lpNA","JuuLT1NoCs"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3970","layer":2},{"info":"number node, value=1299","layer":2},{"info":"compute binary expreesion, left_input=3970, right_input=1299, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1299","layer":1},{"info":"number node, value=1954","layer":2},{"info":"compute unary expreesion, input=1954, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=1954","layer":1},{"info":"compute binary expreesion, left_input=-1299, right_input=1954, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":6,"result_base":6,"text":"(↹⩛30214∌↹⩛10003)∺≝⩲(↹⩛13014⋐⇩⊬)=↹⩛424","reverse_text":"↹⩛424=(↹⩛30214∌↹⩛10003)∺≝⩲(↹⩛13014⋐⇩⊬)","cot":[{"info":"↹⩛30214∌↹⩛10003=↹⩛-10003","layer":1},{"info":"↹⩛13014⋐⇩⊬=↹⩛13014","layer":1},{"info":"↹⩛-10003∺≝⩲↹⩛13014=↹⩛424","layer":0}]}
{"id":692,"expression_no_base_symbol":"(⫖→$4633$)≭$4371$⨟⋌⩍$3800$","expression":"(⫖→↹⩛33241)≭↹⩛32123⨟⋌⩍↹⩛25332","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4834,"operation_count":3,"complexity_ratio":1611.3333333333333,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":4633,"base":6}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4371,"base":6},"right_expr":{"type":"numeric_atoms","value":3800,"base":6}}},"used_operators":["rxpJgHHUmx","U4ylXWHChL","rGHVDoGpnC"],"dependent_operators":["AHs5Up7iyr","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4633","layer":2},{"info":"compute unary expreesion, input=4633, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":1},{"info":"number node, value=4371","layer":2},{"info":"number node, value=3800","layer":2},{"info":"compute binary expreesion, left_input=4371, right_input=3800, 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=177, 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":6,"result_base":6,"text":"(⫖→↹⩛33241)≭↹⩛32123⨟⋌⩍↹⩛25332=NaN","reverse_text":"NaN=(⫖→↹⩛33241)≭↹⩛32123⨟⋌⩍↹⩛25332","cot":[{"info":"⫖→↹⩛33241=↹⩛453","layer":1},{"info":"↹⩛32123⨟⋌⩍↹⩛25332=NaN","layer":1},{"info":"↹⩛453≭NaN=NaN","layer":0}]}
{"id":693,"expression_no_base_symbol":"(⩩$3025$)⊾⪯⋞(⊽$6327$)","expression":"(⩩↹⩛22001)⊾⪯⋞(⊽↹⩛45143)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4027,"operation_count":3,"complexity_ratio":1342.3333333333333,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":3025,"base":6}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":6327,"base":6}}},"used_operators":["HK0tfVPux8","kMhfGuqI2H","QxG7OkqoLX"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3025","layer":2},{"info":"compute unary expreesion, input=3025, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"info":"number node, value=6327","layer":2},{"info":"compute unary expreesion, input=6327, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=14176","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=14176, 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":6,"result_base":6,"text":"(⩩↹⩛22001)⊾⪯⋞(⊽↹⩛45143)=NaN","reverse_text":"NaN=(⩩↹⩛22001)⊾⪯⋞(⊽↹⩛45143)","cot":[{"info":"⩩↹⩛22001=NaN","layer":1},{"info":"⊽↹⩛45143=↹⩛145344","layer":1},{"info":"NaN⊾⪯⋞↹⩛145344=NaN","layer":0}]}
{"id":694,"expression_no_base_symbol":"(-$2058$)∙∹∝$3579$⩍⋽⫝̸$2644$","expression":"(-↹⩛13310)∙∹∝↹⩛24323⩍⋽⫝̸↹⩛20124","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2058,"base":6}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":3579,"base":6},"right_expr":{"type":"numeric_atoms","value":2644,"base":6}}},"used_operators":["HmxsFra2vL","t8gj7n24qd","BiWNJpBvwn"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","Ph9nP6C5qx","xUOZtlo3hN"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2058","layer":2},{"info":"compute unary expreesion, input=2058, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2058","layer":1},{"info":"number node, value=3579","layer":2},{"info":"number node, value=2644","layer":2},{"info":"compute binary expreesion, left_input=3579, right_input=2644, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1698","layer":1},{"info":"compute binary expreesion, left_input=-2058, right_input=1698, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"(-↹⩛13310)∙∹∝↹⩛24323⩍⋽⫝̸↹⩛20124=↹⩛0","reverse_text":"↹⩛0=(-↹⩛13310)∙∹∝↹⩛24323⩍⋽⫝̸↹⩛20124","cot":[{"info":"-↹⩛13310=↹⩛-13310","layer":1},{"info":"↹⩛24323⩍⋽⫝̸↹⩛20124=↹⩛11510","layer":1},{"info":"↹⩛-13310∙∹∝↹⩛11510=↹⩛0","layer":0}]}
{"id":695,"expression_no_base_symbol":"(⇾⩊⇾$2296$)⊱⇼⊻($5776$⊾⪯⋞$5221$)","expression":"(⇾⩊⇾↹⩛14344)⊱⇼⊻(↹⩛42424⊾⪯⋞↹⩛40101)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":77,"operation_count":3,"complexity_ratio":25.666666666666668,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":2296,"base":6}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":5776,"base":6},"right_expr":{"type":"numeric_atoms","value":5221,"base":6}}},"used_operators":["FyVja0WsTP","bx9Z9DAK5y","HK0tfVPux8"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"↹⩛2155420","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2296","layer":2},{"info":"compute unary expreesion, input=2296, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-27150","layer":1},{"info":"number node, value=5776","layer":2},{"info":"number node, value=5221","layer":2},{"info":"compute binary expreesion, left_input=5776, right_input=5221, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=10016","layer":1},{"info":"compute binary expreesion, left_input=-27150, right_input=10016, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=108804","layer":0}],"base":6,"result_base":6,"text":"(⇾⩊⇾↹⩛14344)⊱⇼⊻(↹⩛42424⊾⪯⋞↹⩛40101)=↹⩛2155420","reverse_text":"↹⩛2155420=(⇾⩊⇾↹⩛14344)⊱⇼⊻(↹⩛42424⊾⪯⋞↹⩛40101)","cot":[{"info":"⇾⩊⇾↹⩛14344=↹⩛-325410","layer":1},{"info":"↹⩛42424⊾⪯⋞↹⩛40101=↹⩛114212","layer":1},{"info":"↹⩛-325410⊱⇼⊻↹⩛114212=↹⩛2155420","layer":0}]}
{"id":696,"expression_no_base_symbol":"$5232$⫁⪎$1384$/($1853$⫲⨊)","expression":"↹⩛40120⫁⪎↹⩛10224/(↹⩛12325⫲⨊)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":36,"operation_count":3,"complexity_ratio":12.0,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":5232,"base":6},"right_expr":{"type":"numeric_atoms","value":1384,"base":6}},"right_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"numeric_atoms","value":1853,"base":6}}},"used_operators":["XhwjNDsVaA","xRrnTEsQ6j","CArV6hThFE"],"dependent_operators":["rysDP5nf3Z","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5232","layer":2},{"info":"number node, value=1384","layer":2},{"info":"compute binary expreesion, left_input=5232, right_input=1384, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=3848","layer":1},{"info":"number node, value=1853","layer":2},{"info":"compute unary expreesion, input=1853, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=10048","layer":1},{"info":"compute binary expreesion, left_input=3848, right_input=10048, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":0}],"base":6,"result_base":6,"text":"↹⩛40120⫁⪎↹⩛10224/(↹⩛12325⫲⨊)=↹⩛0","reverse_text":"↹⩛0=↹⩛40120⫁⪎↹⩛10224/(↹⩛12325⫲⨊)","cot":[{"info":"↹⩛40120⫁⪎↹⩛10224=↹⩛25452","layer":1},{"info":"↹⩛12325⫲⨊=↹⩛114304","layer":1},{"info":"↹⩛25452/↹⩛114304=↹⩛0","layer":0}]}
{"id":697,"expression_no_base_symbol":"↥≼⋛($2933$↯⫤)","expression":"↥≼⋛(↹⩛21325↯⫤)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":25,"operation_count":2,"complexity_ratio":12.5,"tree":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":2933,"base":6}}},"used_operators":["x5lMkHmzsq","VwlE7vj6HS"],"dependent_operators":["eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx"],"result":"↹⩛53","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2933","layer":2},{"info":"compute unary expreesion, input=2933, 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 unary expreesion, input=0, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=33","layer":0}],"base":6,"result_base":6,"text":"↥≼⋛(↹⩛21325↯⫤)=↹⩛53","reverse_text":"↹⩛53=↥≼⋛(↹⩛21325↯⫤)","cot":[{"info":"↹⩛21325↯⫤=↹⩛0","layer":1},{"info":"↥≼⋛↹⩛0=↹⩛53","layer":0}]}
{"id":698,"expression_no_base_symbol":"≤/(≤/$2409$)","expression":"≤/(≤/↹⩛15053)","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2409,"base":6}}},"used_operators":["eLAdDNolq6"],"dependent_operators":["rysDP5nf3Z"],"result":"↹⩛15053","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2409","layer":2},{"info":"compute unary expreesion, input=2409, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1925","layer":1},{"info":"compute unary expreesion, input=-1925, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=2409","layer":0}],"base":6,"result_base":6,"text":"≤/(≤/↹⩛15053)=↹⩛15053","reverse_text":"↹⩛15053=≤/(≤/↹⩛15053)","cot":[{"info":"≤/↹⩛15053=↹⩛-12525","layer":1},{"info":"≤/↹⩛-12525=↹⩛15053","layer":0}]}
{"id":699,"expression_no_base_symbol":"$4284$⇣⩺⋵$1074$⋾⨃∁$1007$⊴$8146$","expression":"↹⩛31500⇣⩺⋵↹⩛4550⋾⨃∁↹⩛4355⊴↹⩛101414","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8238,"operation_count":3,"complexity_ratio":2746.0,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":4284,"base":6},"right_expr":{"type":"numeric_atoms","value":1074,"base":6}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1007,"base":6},"right_expr":{"type":"numeric_atoms","value":8146,"base":6}}},"used_operators":["212REbPD9h","F4yD0voBRQ","Nsiff2A1zJ"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4284","layer":2},{"info":"number node, value=1074","layer":2},{"info":"compute binary expreesion, left_input=4284, right_input=1074, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"number node, value=1007","layer":2},{"info":"number node, value=8146","layer":2},{"info":"compute binary expreesion, left_input=1007, right_input=8146, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-260, 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":6,"result_base":6,"text":"↹⩛31500⇣⩺⋵↹⩛4550⋾⨃∁↹⩛4355⊴↹⩛101414=NaN","reverse_text":"NaN=↹⩛31500⇣⩺⋵↹⩛4550⋾⨃∁↹⩛4355⊴↹⩛101414","cot":[{"info":"↹⩛31500⇣⩺⋵↹⩛4550=↹⩛-1112","layer":1},{"info":"↹⩛4355⊴↹⩛101414=NaN","layer":1},{"info":"↹⩛-1112⋾⨃∁NaN=NaN","layer":0}]}
{"id":700,"expression_no_base_symbol":"($4130$⨐$3687$)⊕∕($3744$↞⋁$6270$)","expression":"(↹⩛31042⨐↹⩛25023)⊕∕(↹⩛25200↞⋁↹⩛45010)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":179,"operation_count":3,"complexity_ratio":59.666666666666664,"tree":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":4130,"base":6},"right_expr":{"type":"numeric_atoms","value":3687,"base":6}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":3744,"base":6},"right_expr":{"type":"numeric_atoms","value":6270,"base":6}}},"used_operators":["9cloC0Ngie","Noe24qw2ks","RqrPlJkxDo"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"↹⩛-102124","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4130","layer":2},{"info":"number node, value=3687","layer":2},{"info":"compute binary expreesion, left_input=4130, right_input=3687, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-8260","layer":1},{"info":"number node, value=3744","layer":2},{"info":"number node, value=6270","layer":2},{"info":"compute binary expreesion, left_input=3744, right_input=6270, 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=-8260, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-8260","layer":0}],"base":6,"result_base":6,"text":"(↹⩛31042⨐↹⩛25023)⊕∕(↹⩛25200↞⋁↹⩛45010)=↹⩛-102124","reverse_text":"↹⩛-102124=(↹⩛31042⨐↹⩛25023)⊕∕(↹⩛25200↞⋁↹⩛45010)","cot":[{"info":"↹⩛31042⨐↹⩛25023=↹⩛-102124","layer":1},{"info":"↹⩛25200↞⋁↹⩛45010=NaN","layer":1},{"info":"↹⩛-102124⊕∕NaN=↹⩛-102124","layer":0}]}
{"id":701,"expression_no_base_symbol":"(⋗⩬⋾$2540$)≬⇓$2323$⨐⩸⫘$3145$","expression":"(⋗⩬⋾↹⩛15432)≬⇓↹⩛14431⨐⩸⫘↹⩛22321","highest_n_order":4,"priority_hierarchical_complexity":1,"normalized_expansion_degree":23031,"operation_count":3,"complexity_ratio":7677.0,"tree":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2540,"base":6}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2323,"base":6},"right_expr":{"type":"numeric_atoms","value":3145,"base":6}}},"used_operators":["jWTQ2TZYIH","DpFCA1CohY","fu6greOZ01"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"↹⩛133412100502","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2540","layer":2},{"info":"compute unary expreesion, input=2540, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-7620","layer":1},{"info":"number node, value=2323","layer":2},{"info":"number node, value=3145","layer":2},{"info":"compute binary expreesion, left_input=2323, right_input=3145, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-7620, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=581528342","layer":0}],"base":6,"result_base":6,"text":"(⋗⩬⋾↹⩛15432)≬⇓↹⩛14431⨐⩸⫘↹⩛22321=↹⩛133412100502","reverse_text":"↹⩛133412100502=(⋗⩬⋾↹⩛15432)≬⇓↹⩛14431⨐⩸⫘↹⩛22321","cot":[{"info":"⋗⩬⋾↹⩛15432=↹⩛-55140","layer":1},{"info":"↹⩛14431⨐⩸⫘↹⩛22321=NaN","layer":1},{"info":"↹⩛-55140≬⇓NaN=↹⩛133412100502","layer":0}]}
{"id":702,"expression_no_base_symbol":"($2506$→⨶⪴$2839$)≌($2189$⊉≛↸$1094$)","expression":"(↹⩛15334→⨶⪴↹⩛21051)≌(↹⩛14045⊉≛↸↹⩛5022)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4514,"operation_count":3,"complexity_ratio":1504.6666666666667,"tree":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2506,"base":6},"right_expr":{"type":"numeric_atoms","value":2839,"base":6}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2189,"base":6},"right_expr":{"type":"numeric_atoms","value":1094,"base":6}}},"used_operators":["lyWz822IDG","bF6eod5Gvf","DZ8iAZOCBD"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","8w2t5hMYqp","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2506","layer":2},{"info":"number node, value=2839","layer":2},{"info":"compute binary expreesion, left_input=2506, right_input=2839, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-8517","layer":1},{"info":"number node, value=2189","layer":2},{"info":"number node, value=1094","layer":2},{"info":"compute binary expreesion, left_input=2189, right_input=1094, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4378","layer":1},{"info":"compute binary expreesion, left_input=-8517, right_input=4378, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛15334→⨶⪴↹⩛21051)≌(↹⩛14045⊉≛↸↹⩛5022)=NaN","reverse_text":"NaN=(↹⩛15334→⨶⪴↹⩛21051)≌(↹⩛14045⊉≛↸↹⩛5022)","cot":[{"info":"↹⩛15334→⨶⪴↹⩛21051=↹⩛-103233","layer":1},{"info":"↹⩛14045⊉≛↸↹⩛5022=↹⩛32134","layer":1},{"info":"↹⩛-103233≌↹⩛32134=NaN","layer":0}]}
{"id":703,"expression_no_base_symbol":"$1006$∊∟⩊$7083$⫚↹⊑$1534$⊢$1979$","expression":"↹⩛4354∊∟⩊↹⩛52443⫚↹⊑↹⩛11034⊢↹⩛13055","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":40,"operation_count":3,"complexity_ratio":13.333333333333334,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1006,"base":6},"right_expr":{"type":"numeric_atoms","value":7083,"base":6}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1534,"base":6},"right_expr":{"type":"numeric_atoms","value":1979,"base":6}}},"used_operators":["dfKe02y8D2","ddLRYrp01A","5twsqlHp2o"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"↹⩛-2023","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1006","layer":2},{"info":"number node, value=7083","layer":2},{"info":"compute binary expreesion, left_input=1006, right_input=7083, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=7083","layer":1},{"info":"number node, value=1534","layer":2},{"info":"number node, value=1979","layer":2},{"info":"compute binary expreesion, left_input=1534, right_input=1979, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-3312","layer":1},{"info":"compute binary expreesion, left_input=7083, right_input=-3312, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":6,"result_base":6,"text":"↹⩛4354∊∟⩊↹⩛52443⫚↹⊑↹⩛11034⊢↹⩛13055=↹⩛-2023","reverse_text":"↹⩛-2023=↹⩛4354∊∟⩊↹⩛52443⫚↹⊑↹⩛11034⊢↹⩛13055","cot":[{"info":"↹⩛4354∊∟⩊↹⩛52443=↹⩛52443","layer":1},{"info":"↹⩛11034⊢↹⩛13055=↹⩛-23200","layer":1},{"info":"↹⩛52443⫚↹⊑↹⩛-23200=↹⩛-2023","layer":0}]}
{"id":704,"expression_no_base_symbol":"⨭⩧⫛($1295$⨁⊸⫻)","expression":"⨭⩧⫛(↹⩛5555⨁⊸⫻)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":30,"operation_count":2,"complexity_ratio":15.0,"tree":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1295,"base":6}}},"used_operators":["g21JL6JxX7","glklzrTFfD"],"dependent_operators":["Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1295","layer":2},{"info":"compute unary expreesion, input=1295, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1295","layer":1},{"info":"compute unary expreesion, input=1295, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⨭⩧⫛(↹⩛5555⨁⊸⫻)=NaN","reverse_text":"NaN=⨭⩧⫛(↹⩛5555⨁⊸⫻)","cot":[{"info":"↹⩛5555⨁⊸⫻=↹⩛5555","layer":1},{"info":"⨭⩧⫛↹⩛5555=NaN","layer":0}]}
{"id":705,"expression_no_base_symbol":"$2111$≳⇉$2187$/(⫟$1763$)","expression":"↹⩛13435≳⇉↹⩛14043/(⫟↹⩛12055)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":72648893,"operation_count":3,"complexity_ratio":24216297.666666668,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2111,"base":6},"right_expr":{"type":"numeric_atoms","value":2187,"base":6}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":1763,"base":6}}},"used_operators":["XhwjNDsVaA","V0kx6qeWkN","z4E1FaHLuy"],"dependent_operators":["rysDP5nf3Z","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2111","layer":2},{"info":"number node, value=2187","layer":2},{"info":"compute binary expreesion, left_input=2111, right_input=2187, 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=1763","layer":2},{"info":"compute unary expreesion, input=1763, 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=-4382","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4382, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛13435≳⇉↹⩛14043/(⫟↹⩛12055)=NaN","reverse_text":"NaN=↹⩛13435≳⇉↹⩛14043/(⫟↹⩛12055)","cot":[{"info":"↹⩛13435≳⇉↹⩛14043=NaN","layer":1},{"info":"⫟↹⩛12055=↹⩛-32142","layer":1},{"info":"NaN/↹⩛-32142=NaN","layer":0}]}
{"id":706,"expression_no_base_symbol":"(↣≠⋷$4506$)⊋$1521$↢$2086$","expression":"(↣≠⋷↹⩛32510)⊋↹⩛11013↢↹⩛13354","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":45,"operation_count":3,"complexity_ratio":15.0,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4506,"base":6}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1521,"base":6},"right_expr":{"type":"numeric_atoms","value":2086,"base":6}}},"used_operators":["W4tP9CfskL","Asc51vEJeQ","WR6HLWljOP"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","XhwjNDsVaA","AHs5Up7iyr","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4506","layer":2},{"info":"compute unary expreesion, input=4506, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=1521","layer":2},{"info":"number node, value=2086","layer":2},{"info":"compute binary expreesion, left_input=1521, right_input=2086, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1037","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1037, 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":6,"result_base":6,"text":"(↣≠⋷↹⩛32510)⊋↹⩛11013↢↹⩛13354=NaN","reverse_text":"NaN=(↣≠⋷↹⩛32510)⊋↹⩛11013↢↹⩛13354","cot":[{"info":"↣≠⋷↹⩛32510=NaN","layer":1},{"info":"↹⩛11013↢↹⩛13354=↹⩛4445","layer":1},{"info":"NaN⊋↹⩛4445=NaN","layer":0}]}
{"id":707,"expression_no_base_symbol":"∜⨇($5733$⨎$3300$)","expression":"∜⨇(↹⩛42313⨎↹⩛23140)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":58,"operation_count":2,"complexity_ratio":29.0,"tree":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5733,"base":6},"right_expr":{"type":"numeric_atoms","value":3300,"base":6}}},"used_operators":["uFPyJr306J","rJVOvQCfKK"],"dependent_operators":["fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5733","layer":2},{"info":"number node, value=3300","layer":2},{"info":"compute binary expreesion, left_input=5733, right_input=3300, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3300","layer":1},{"info":"compute unary expreesion, input=3300, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"∜⨇(↹⩛42313⨎↹⩛23140)=NaN","reverse_text":"NaN=∜⨇(↹⩛42313⨎↹⩛23140)","cot":[{"info":"↹⩛42313⨎↹⩛23140=↹⩛23140","layer":1},{"info":"∜⨇↹⩛23140=NaN","layer":0}]}
{"id":708,"expression_no_base_symbol":"$1857$⫘$6998$≹⇙⪍($6692$≹⇙⪍$3695$)","expression":"↹⩛12333⫘↹⩛52222≹⇙⪍(↹⩛50552≹⇙⪍↹⩛25035)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2076,"operation_count":3,"complexity_ratio":692.0,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1857,"base":6},"right_expr":{"type":"numeric_atoms","value":6998,"base":6}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6692,"base":6},"right_expr":{"type":"numeric_atoms","value":3695,"base":6}}},"used_operators":["AHs5Up7iyr","48vC8HMD2b"],"dependent_operators":["dWAJyo7jo9","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1857","layer":2},{"info":"number node, value=6998","layer":2},{"info":"compute binary expreesion, left_input=1857, right_input=6998, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2188237","layer":1},{"info":"number node, value=6692","layer":2},{"info":"number node, value=3695","layer":2},{"info":"compute binary expreesion, left_input=6692, right_input=3695, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2188237, 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":6,"result_base":6,"text":"↹⩛12333⫘↹⩛52222≹⇙⪍(↹⩛50552≹⇙⪍↹⩛25035)=NaN","reverse_text":"NaN=↹⩛12333⫘↹⩛52222≹⇙⪍(↹⩛50552≹⇙⪍↹⩛25035)","cot":[{"info":"↹⩛12333⫘↹⩛52222=↹⩛114522421","layer":1},{"info":"↹⩛50552≹⇙⪍↹⩛25035=NaN","layer":1},{"info":"↹⩛114522421≹⇙⪍NaN=NaN","layer":0}]}
{"id":709,"expression_no_base_symbol":"(⋗⩬⋾$1417$)⊍⩺⋍$3014$≭$3643$","expression":"(⋗⩬⋾↹⩛10321)⊍⩺⋍↹⩛21542≭↹⩛24511","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":212,"operation_count":3,"complexity_ratio":70.66666666666667,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1417,"base":6}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3014,"base":6},"right_expr":{"type":"numeric_atoms","value":3643,"base":6}}},"used_operators":["OXDGMFPWZM","DpFCA1CohY","rxpJgHHUmx"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1417","layer":2},{"info":"compute unary expreesion, input=1417, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4251","layer":1},{"info":"number node, value=3014","layer":2},{"info":"number node, value=3643","layer":2},{"info":"compute binary expreesion, left_input=3014, right_input=3643, 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=-4251, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⋗⩬⋾↹⩛10321)⊍⩺⋍↹⩛21542≭↹⩛24511=NaN","reverse_text":"NaN=(⋗⩬⋾↹⩛10321)⊍⩺⋍↹⩛21542≭↹⩛24511","cot":[{"info":"⋗⩬⋾↹⩛10321=↹⩛-31403","layer":1},{"info":"↹⩛21542≭↹⩛24511=NaN","layer":1},{"info":"↹⩛-31403⊍⩺⋍NaN=NaN","layer":0}]}
{"id":710,"expression_no_base_symbol":"($1293$↹⊜$1306$)⊕∕($1004$⨳⩥⨓$3469$)","expression":"(↹⩛5553↹⊜↹⩛10014)⊕∕(↹⩛4352⨳⩥⨓↹⩛24021)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27,"operation_count":3,"complexity_ratio":9.0,"tree":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1293,"base":6},"right_expr":{"type":"numeric_atoms","value":1306,"base":6}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1004,"base":6},"right_expr":{"type":"numeric_atoms","value":3469,"base":6}}},"used_operators":["9cloC0Ngie","9bazX3JMtO","nCS4ZIUYfx"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","W4YGzv6Whe","rysDP5nf3Z"],"result":"↹⩛-20354","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1293","layer":2},{"info":"number node, value=1306","layer":2},{"info":"compute binary expreesion, left_input=1293, right_input=1306, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-2734","layer":1},{"info":"number node, value=1004","layer":2},{"info":"number node, value=3469","layer":2},{"info":"compute binary expreesion, left_input=1004, right_input=3469, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2465","layer":1},{"info":"compute binary expreesion, left_input=-2734, right_input=2465, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-2734","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5553↹⊜↹⩛10014)⊕∕(↹⩛4352⨳⩥⨓↹⩛24021)=↹⩛-20354","reverse_text":"↹⩛-20354=(↹⩛5553↹⊜↹⩛10014)⊕∕(↹⩛4352⨳⩥⨓↹⩛24021)","cot":[{"info":"↹⩛5553↹⊜↹⩛10014=↹⩛-20354","layer":1},{"info":"↹⩛4352⨳⩥⨓↹⩛24021=↹⩛15225","layer":1},{"info":"↹⩛-20354⊕∕↹⩛15225=↹⩛-20354","layer":0}]}
{"id":711,"expression_no_base_symbol":"(⋎⨆$2909$)⫰⋱($1147$⊾⪯⋞$1111$)","expression":"(⋎⨆↹⩛21245)⫰⋱(↹⩛5151⊾⪯⋞↹⩛5051)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":92,"operation_count":3,"complexity_ratio":30.666666666666668,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":2909,"base":6}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1147,"base":6},"right_expr":{"type":"numeric_atoms","value":1111,"base":6}}},"used_operators":["6o9Blt3TJ6","E64sFOc4tB","HK0tfVPux8"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"↹⩛53","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2909","layer":2},{"info":"compute unary expreesion, input=2909, 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=1147","layer":2},{"info":"number node, value=1111","layer":2},{"info":"compute binary expreesion, left_input=1147, right_input=1111, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=1796","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1796, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=33","layer":0}],"base":6,"result_base":6,"text":"(⋎⨆↹⩛21245)⫰⋱(↹⩛5151⊾⪯⋞↹⩛5051)=↹⩛53","reverse_text":"↹⩛53=(⋎⨆↹⩛21245)⫰⋱(↹⩛5151⊾⪯⋞↹⩛5051)","cot":[{"info":"⋎⨆↹⩛21245=↹⩛0","layer":1},{"info":"↹⩛5151⊾⪯⋞↹⩛5051=↹⩛12152","layer":1},{"info":"↹⩛0⫰⋱↹⩛12152=↹⩛53","layer":0}]}
{"id":712,"expression_no_base_symbol":"⪨⨬(⇋⊎⋝$6068$)","expression":"⪨⨬(⇋⊎⋝↹⩛44032)","highest_n_order":3,"priority_hierarchical_complexity":1,"normalized_expansion_degree":6090,"operation_count":2,"complexity_ratio":3045.0,"tree":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":6068,"base":6}}},"used_operators":["5obUd6DV38","CzM2PEoXns"],"dependent_operators":["T2fj7uvVaJ","nlCqmYiOvY","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=6068","layer":2},{"info":"compute unary expreesion, input=6068, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⪨⨬(⇋⊎⋝↹⩛44032)=NaN","reverse_text":"NaN=⪨⨬(⇋⊎⋝↹⩛44032)","cot":[{"info":"⇋⊎⋝↹⩛44032=NaN","layer":1},{"info":"⪨⨬NaN=NaN","layer":0}]}
{"id":713,"expression_no_base_symbol":"⇁⨣⪵$2577$⇴$3099$","expression":"⇁⨣⪵↹⩛15533⇴↹⩛22203","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15,"operation_count":2,"complexity_ratio":7.5,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2577,"base":6},"right_expr":{"type":"numeric_atoms","value":3099,"base":6}}},"used_operators":["inkyxCbjAn","4JB6nKBMSY"],"dependent_operators":["B5M0gjZbta","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2577","layer":2},{"info":"number node, value=3099","layer":2},{"info":"compute binary expreesion, left_input=2577, right_input=3099, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=21274","layer":1},{"info":"compute unary expreesion, input=21274, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⇁⨣⪵↹⩛15533⇴↹⩛22203=NaN","reverse_text":"NaN=⇁⨣⪵↹⩛15533⇴↹⩛22203","cot":[{"info":"↹⩛15533⇴↹⩛22203=↹⩛242254","layer":1},{"info":"⇁⨣⪵↹⩛242254=NaN","layer":0}]}
{"id":714,"expression_no_base_symbol":"$3452$↞⋁$6847$⫯⪬∳($2790$%$1580$)","expression":"↹⩛23552↞⋁↹⩛51411⫯⪬∳(↹⩛20530%↹⩛11152)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":186,"operation_count":3,"complexity_ratio":62.0,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":3452,"base":6},"right_expr":{"type":"numeric_atoms","value":6847,"base":6}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2790,"base":6},"right_expr":{"type":"numeric_atoms","value":1580,"base":6}}},"used_operators":["d7ASUq0ydm","RqrPlJkxDo","k8jYdgA6NY"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3452","layer":2},{"info":"number node, value=6847","layer":2},{"info":"compute binary expreesion, left_input=3452, right_input=6847, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"number node, value=2790","layer":2},{"info":"number node, value=1580","layer":2},{"info":"compute binary expreesion, left_input=2790, right_input=1580, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1210","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1210, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛23552↞⋁↹⩛51411⫯⪬∳(↹⩛20530%↹⩛11152)=NaN","reverse_text":"NaN=↹⩛23552↞⋁↹⩛51411⫯⪬∳(↹⩛20530%↹⩛11152)","cot":[{"info":"↹⩛23552↞⋁↹⩛51411=NaN","layer":1},{"info":"↹⩛20530%↹⩛11152=↹⩛5334","layer":1},{"info":"NaN⫯⪬∳↹⩛5334=NaN","layer":0}]}
{"id":715,"expression_no_base_symbol":"($5816$⨚⇆$4083$)⨀⨒","expression":"(↹⩛42532⨚⇆↹⩛30523)⨀⨒","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":40779,"operation_count":2,"complexity_ratio":20389.5,"tree":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":5816,"base":6},"right_expr":{"type":"numeric_atoms","value":4083,"base":6}}},"used_operators":["j6NVkjMzuk","lwHaAYXP2r"],"dependent_operators":["E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5816","layer":2},{"info":"number node, value=4083","layer":2},{"info":"compute binary expreesion, left_input=5816, right_input=4083, 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 = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛42532⨚⇆↹⩛30523)⨀⨒=NaN","reverse_text":"NaN=(↹⩛42532⨚⇆↹⩛30523)⨀⨒","cot":[{"info":"↹⩛42532⨚⇆↹⩛30523=NaN","layer":1},{"info":"NaN⨀⨒=NaN","layer":0}]}
{"id":716,"expression_no_base_symbol":"(⇉-⫰$3231$)⫳≱↱($2150$⊚⫡⫭)","expression":"(⇉-⫰↹⩛22543)⫳≱↱(↹⩛13542⊚⫡⫭)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":332,"operation_count":3,"complexity_ratio":110.66666666666667,"tree":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":3231,"base":6}},"right_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":2150,"base":6}}},"used_operators":["ZvLB05nZmT","IGFM8TAlm9","SpZWOsLKZJ"],"dependent_operators":["2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","eH2TOUuTDT","eewbuw0ToL","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx"],"result":"↹⩛-540","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3231","layer":2},{"info":"compute unary expreesion, input=3231, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":1},{"info":"number node, value=2150","layer":2},{"info":"compute unary expreesion, input=2150, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-3374","layer":1},{"info":"compute binary expreesion, left_input=20, right_input=-3374, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":0}],"base":6,"result_base":6,"text":"(⇉-⫰↹⩛22543)⫳≱↱(↹⩛13542⊚⫡⫭)=↹⩛-540","reverse_text":"↹⩛-540=(⇉-⫰↹⩛22543)⫳≱↱(↹⩛13542⊚⫡⫭)","cot":[{"info":"⇉-⫰↹⩛22543=↹⩛32","layer":1},{"info":"↹⩛13542⊚⫡⫭=↹⩛-23342","layer":1},{"info":"↹⩛32⫳≱↱↹⩛-23342=↹⩛-540","layer":0}]}
{"id":717,"expression_no_base_symbol":"$4962$⊢$1831$⪘⫢$7182$⊱⇼⊻$8419$","expression":"↹⩛34550⊢↹⩛12251⪘⫢↹⩛53130⊱⇼⊻↹⩛102551","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":41,"operation_count":3,"complexity_ratio":13.666666666666666,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":4962,"base":6},"right_expr":{"type":"numeric_atoms","value":1831,"base":6}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":7182,"base":6},"right_expr":{"type":"numeric_atoms","value":8419,"base":6}}},"used_operators":["oacrs7FA3X","5twsqlHp2o","FyVja0WsTP"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"↹⩛-1","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4962","layer":2},{"info":"number node, value=1831","layer":2},{"info":"compute binary expreesion, left_input=4962, right_input=1831, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-10168","layer":1},{"info":"number node, value=7182","layer":2},{"info":"number node, value=8419","layer":2},{"info":"compute binary expreesion, left_input=7182, right_input=8419, 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=-10168, right_input=434, 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":6,"result_base":6,"text":"↹⩛34550⊢↹⩛12251⪘⫢↹⩛53130⊱⇼⊻↹⩛102551=↹⩛-1","reverse_text":"↹⩛-1=↹⩛34550⊢↹⩛12251⪘⫢↹⩛53130⊱⇼⊻↹⩛102551","cot":[{"info":"↹⩛34550⊢↹⩛12251=↹⩛-115024","layer":1},{"info":"↹⩛53130⊱⇼⊻↹⩛102551=↹⩛2002","layer":1},{"info":"↹⩛-115024⪘⫢↹⩛2002=↹⩛-1","layer":0}]}
{"id":718,"expression_no_base_symbol":"($1460$⋹)⨎(⫇$1436$)","expression":"(↹⩛10432⋹)⨎(⫇↹⩛10352)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":86,"operation_count":3,"complexity_ratio":28.666666666666668,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":1460,"base":6}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":1436,"base":6}}},"used_operators":["rJVOvQCfKK","opAxDRczMr","YjI8oCXuph"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI"],"result":"↹⩛-11402","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1460","layer":2},{"info":"compute unary expreesion, input=1460, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":1},{"info":"number node, value=1436","layer":2},{"info":"compute unary expreesion, input=1436, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-1658","layer":1},{"info":"compute binary expreesion, left_input=-20, right_input=-1658, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-1658","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10432⋹)⨎(⫇↹⩛10352)=↹⩛-11402","reverse_text":"↹⩛-11402=(↹⩛10432⋹)⨎(⫇↹⩛10352)","cot":[{"info":"↹⩛10432⋹=↹⩛-32","layer":1},{"info":"⫇↹⩛10352=↹⩛-11402","layer":1},{"info":"↹⩛-32⨎↹⩛-11402=↹⩛-11402","layer":0}]}
{"id":719,"expression_no_base_symbol":"$5289$⋾⨃∁$1273$∽$4468$⩦$4807$","expression":"↹⩛40253⋾⨃∁↹⩛5521∽↹⩛32404⩦↹⩛34131","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1327,"operation_count":3,"complexity_ratio":442.3333333333333,"tree":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":5289,"base":6},"right_expr":{"type":"numeric_atoms","value":1273,"base":6}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":4468,"base":6},"right_expr":{"type":"numeric_atoms","value":4807,"base":6}}},"used_operators":["y4ImoPnbV5","212REbPD9h","0kmYd0q39Y"],"dependent_operators":["NTOWxs364D","QMFrweE19q","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"↹⩛-12011333542","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5289","layer":2},{"info":"number node, value=1273","layer":2},{"info":"compute binary expreesion, left_input=5289, right_input=1273, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=16189920","layer":1},{"info":"number node, value=4468","layer":2},{"info":"number node, value=4807","layer":2},{"info":"compute binary expreesion, left_input=4468, right_input=4807, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=8936","layer":1},{"info":"compute binary expreesion, left_input=16189920, right_input=8936, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-80976230","layer":0}],"base":6,"result_base":6,"text":"↹⩛40253⋾⨃∁↹⩛5521∽↹⩛32404⩦↹⩛34131=↹⩛-12011333542","reverse_text":"↹⩛-12011333542=↹⩛40253⋾⨃∁↹⩛5521∽↹⩛32404⩦↹⩛34131","cot":[{"info":"↹⩛40253⋾⨃∁↹⩛5521=↹⩛1335001200","layer":1},{"info":"↹⩛32404⩦↹⩛34131=↹⩛105212","layer":1},{"info":"↹⩛1335001200∽↹⩛105212=↹⩛-12011333542","layer":0}]}
{"id":720,"expression_no_base_symbol":"(⇖$1109$)⪡$2033$⪭$3164$","expression":"(⇖↹⩛5045)⪡↹⩛13225⪭↹⩛22352","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":55,"operation_count":3,"complexity_ratio":18.333333333333332,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":1109,"base":6}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2033,"base":6},"right_expr":{"type":"numeric_atoms","value":3164,"base":6}}},"used_operators":["oraRL2iQuh","tfWHHpNKUN","j9kHMeSvPp"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","2DQ55sFlQl","COABgblf1C","xUOZtlo3hN"],"result":"↹⩛2","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1109","layer":2},{"info":"compute unary expreesion, input=1109, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":1},{"info":"number node, value=2033","layer":2},{"info":"number node, value=3164","layer":2},{"info":"compute binary expreesion, left_input=2033, right_input=3164, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=5, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=2","layer":0}],"base":6,"result_base":6,"text":"(⇖↹⩛5045)⪡↹⩛13225⪭↹⩛22352=↹⩛2","reverse_text":"↹⩛2=(⇖↹⩛5045)⪡↹⩛13225⪭↹⩛22352","cot":[{"info":"⇖↹⩛5045=↹⩛424","layer":1},{"info":"↹⩛13225⪭↹⩛22352=↹⩛5","layer":1},{"info":"↹⩛424⪡↹⩛5=↹⩛2","layer":0}]}
{"id":721,"expression_no_base_symbol":"($1906$≦≮≮)↤⩊($3177$⊱⇼⊻$4959$)","expression":"(↹⩛12454≦≮≮)↤⩊(↹⩛22413⊱⇼⊻↹⩛34543)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":184,"operation_count":3,"complexity_ratio":61.333333333333336,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1906,"base":6}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3177,"base":6},"right_expr":{"type":"numeric_atoms","value":4959,"base":6}}},"used_operators":["13rbtpv6ld","D4vGDi5EA2","FyVja0WsTP"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1906","layer":2},{"info":"compute unary expreesion, input=1906, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-5718","layer":1},{"info":"number node, value=3177","layer":2},{"info":"number node, value=4959","layer":2},{"info":"compute binary expreesion, left_input=3177, right_input=4959, 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=-5718, right_input=434, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛12454≦≮≮)↤⩊(↹⩛22413⊱⇼⊻↹⩛34543)=NaN","reverse_text":"NaN=(↹⩛12454≦≮≮)↤⩊(↹⩛22413⊱⇼⊻↹⩛34543)","cot":[{"info":"↹⩛12454≦≮≮=↹⩛-42250","layer":1},{"info":"↹⩛22413⊱⇼⊻↹⩛34543=↹⩛2002","layer":1},{"info":"↹⩛-42250↤⩊↹⩛2002=NaN","layer":0}]}
{"id":722,"expression_no_base_symbol":"($8415$⇴$5772$)⇤($3859$⪒⊣⊆$2743$)","expression":"(↹⩛102543⇴↹⩛42420)⇤(↹⩛25511⪒⊣⊆↹⩛20411)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":33,"operation_count":3,"complexity_ratio":11.0,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":8415,"base":6},"right_expr":{"type":"numeric_atoms","value":5772,"base":6}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":3859,"base":6},"right_expr":{"type":"numeric_atoms","value":2743,"base":6}}},"used_operators":["YSKBFp38Pu","4JB6nKBMSY","eRqsBgTDFp"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","sdazOOVcIp","NTOWxs364D","COABgblf1C","sdazOOVcIp","W4YGzv6Whe"],"result":"↹⩛-11212302","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8415","layer":2},{"info":"number node, value=5772","layer":2},{"info":"compute binary expreesion, left_input=8415, right_input=5772, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=61648","layer":1},{"info":"number node, value=3859","layer":2},{"info":"number node, value=2743","layer":2},{"info":"compute binary expreesion, left_input=3859, right_input=2743, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=7718","layer":1},{"info":"compute binary expreesion, left_input=61648, right_input=7718, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-343982","layer":0}],"base":6,"result_base":6,"text":"(↹⩛102543⇴↹⩛42420)⇤(↹⩛25511⪒⊣⊆↹⩛20411)=↹⩛-11212302","reverse_text":"↹⩛-11212302=(↹⩛102543⇴↹⩛42420)⇤(↹⩛25511⪒⊣⊆↹⩛20411)","cot":[{"info":"↹⩛102543⇴↹⩛42420=↹⩛1153224","layer":1},{"info":"↹⩛25511⪒⊣⊆↹⩛20411=↹⩛55422","layer":1},{"info":"↹⩛1153224⇤↹⩛55422=↹⩛-11212302","layer":0}]}
{"id":723,"expression_no_base_symbol":"$3272$⫸⇳$6747$⪄$1221$⇤$5214$","expression":"↹⩛23052⫸⇳↹⩛51123⪄↹⩛5353⇤↹⩛40050","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":51,"operation_count":3,"complexity_ratio":17.0,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3272,"base":6},"right_expr":{"type":"numeric_atoms","value":6747,"base":6}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1221,"base":6},"right_expr":{"type":"numeric_atoms","value":5214,"base":6}}},"used_operators":["SUmda5xLS4","gx7XJ7hdpj","YSKBFp38Pu"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"↹⩛2333111","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3272","layer":2},{"info":"number node, value=6747","layer":2},{"info":"compute binary expreesion, left_input=3272, right_input=6747, 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=1221","layer":2},{"info":"number node, value=5214","layer":2},{"info":"compute binary expreesion, left_input=1221, right_input=5214, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-29327","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-29327, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=121219","layer":0}],"base":6,"result_base":6,"text":"↹⩛23052⫸⇳↹⩛51123⪄↹⩛5353⇤↹⩛40050=↹⩛2333111","reverse_text":"↹⩛2333111=↹⩛23052⫸⇳↹⩛51123⪄↹⩛5353⇤↹⩛40050","cot":[{"info":"↹⩛23052⫸⇳↹⩛51123=↹⩛0","layer":1},{"info":"↹⩛5353⇤↹⩛40050=↹⩛-343435","layer":1},{"info":"↹⩛0⪄↹⩛-343435=↹⩛2333111","layer":0}]}
{"id":724,"expression_no_base_symbol":"($1259$⇍⊗$6440$)≦↸($3621$+⪬∐$3138$)","expression":"(↹⩛5455⇍⊗↹⩛45452)≦↸(↹⩛24433+⪬∐↹⩛22310)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":65,"operation_count":3,"complexity_ratio":21.666666666666668,"tree":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1259,"base":6},"right_expr":{"type":"numeric_atoms","value":6440,"base":6}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":3621,"base":6},"right_expr":{"type":"numeric_atoms","value":3138,"base":6}}},"used_operators":["RygbFNSyEJ","5uvYHDjeKN","2GS7woTJqF"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","g55IO6H4Gj","D4vGDi5EA2"],"result":"↹⩛4141","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1259","layer":2},{"info":"number node, value=6440","layer":2},{"info":"compute binary expreesion, left_input=1259, right_input=6440, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"number node, value=3621","layer":2},{"info":"number node, value=3138","layer":2},{"info":"compute binary expreesion, left_input=3621, right_input=3138, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-10863","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=-10863, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=925","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5455⇍⊗↹⩛45452)≦↸(↹⩛24433+⪬∐↹⩛22310)=↹⩛4141","reverse_text":"↹⩛4141=(↹⩛5455⇍⊗↹⩛45452)≦↸(↹⩛24433+⪬∐↹⩛22310)","cot":[{"info":"↹⩛5455⇍⊗↹⩛45452=↹⩛-1044","layer":1},{"info":"↹⩛24433+⪬∐↹⩛22310=↹⩛-122143","layer":1},{"info":"↹⩛-1044≦↸↹⩛-122143=↹⩛4141","layer":0}]}
{"id":725,"expression_no_base_symbol":"$7514$⪬$2506$⊱⇼⊻$3016$⊉↱≁$4540$","expression":"↹⩛54442⪬↹⩛15334⊱⇼⊻↹⩛21544⊉↱≁↹⩛33004","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":601,"operation_count":3,"complexity_ratio":200.33333333333334,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":7514,"base":6},"right_expr":{"type":"numeric_atoms","value":2506,"base":6}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3016,"base":6},"right_expr":{"type":"numeric_atoms","value":4540,"base":6}}},"used_operators":["FyVja0WsTP","Ez1Nq5fNfI","w2P8NbNXyL"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"↹⩛2002","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=7514","layer":2},{"info":"number node, value=2506","layer":2},{"info":"compute binary expreesion, left_input=7514, right_input=2506, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=3016","layer":2},{"info":"number node, value=4540","layer":2},{"info":"compute binary expreesion, left_input=3016, right_input=4540, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=1806","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=1806, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":0}],"base":6,"result_base":6,"text":"↹⩛54442⪬↹⩛15334⊱⇼⊻↹⩛21544⊉↱≁↹⩛33004=↹⩛2002","reverse_text":"↹⩛2002=↹⩛54442⪬↹⩛15334⊱⇼⊻↹⩛21544⊉↱≁↹⩛33004","cot":[{"info":"↹⩛54442⪬↹⩛15334=↹⩛5414","layer":1},{"info":"↹⩛21544⊉↱≁↹⩛33004=↹⩛12210","layer":1},{"info":"↹⩛5414⊱⇼⊻↹⩛12210=↹⩛2002","layer":0}]}
{"id":726,"expression_no_base_symbol":"$2384$⨐$2731$↼⊘⨖(∐⩳⋚$2013$)","expression":"↹⩛15012⨐↹⩛20351↼⊘⨖(∐⩳⋚↹⩛13153)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":181,"operation_count":3,"complexity_ratio":60.333333333333336,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":2384,"base":6},"right_expr":{"type":"numeric_atoms","value":2731,"base":6}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":2013,"base":6}}},"used_operators":["bPywburJMS","Noe24qw2ks","SL6IHkK8vl"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf"],"result":"↹⩛20123122","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2384","layer":2},{"info":"number node, value=2731","layer":2},{"info":"compute binary expreesion, left_input=2384, right_input=2731, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-4768","layer":1},{"info":"number node, value=2013","layer":2},{"info":"compute unary expreesion, input=2013, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=285580","layer":1},{"info":"compute binary expreesion, left_input=-4768, right_input=285580, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=570938","layer":0}],"base":6,"result_base":6,"text":"↹⩛15012⨐↹⩛20351↼⊘⨖(∐⩳⋚↹⩛13153)=↹⩛20123122","reverse_text":"↹⩛20123122=↹⩛15012⨐↹⩛20351↼⊘⨖(∐⩳⋚↹⩛13153)","cot":[{"info":"↹⩛15012⨐↹⩛20351=↹⩛-34024","layer":1},{"info":"∐⩳⋚↹⩛13153=↹⩛10042044","layer":1},{"info":"↹⩛-34024↼⊘⨖↹⩛10042044=↹⩛20123122","layer":0}]}
{"id":727,"expression_no_base_symbol":"(↥≼⋛$1533$)⪟⇏($6003$⫒⫫$1072$)","expression":"(↥≼⋛↹⩛11033)⪟⇏(↹⩛43443⫒⫫↹⩛4544)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":43,"operation_count":3,"complexity_ratio":14.333333333333334,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":1533,"base":6}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":6003,"base":6},"right_expr":{"type":"numeric_atoms","value":1072,"base":6}}},"used_operators":["GODebY97qR","x5lMkHmzsq","6Ko8hGgeMq"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1533","layer":2},{"info":"compute unary expreesion, input=1533, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":1},{"info":"number node, value=6003","layer":2},{"info":"number node, value=1072","layer":2},{"info":"compute binary expreesion, left_input=6003, right_input=1072, 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=-113, 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":0}],"base":6,"result_base":6,"text":"(↥≼⋛↹⩛11033)⪟⇏(↹⩛43443⫒⫫↹⩛4544)=↹⩛0","reverse_text":"↹⩛0=(↥≼⋛↹⩛11033)⪟⇏(↹⩛43443⫒⫫↹⩛4544)","cot":[{"info":"↥≼⋛↹⩛11033=↹⩛-305","layer":1},{"info":"↹⩛43443⫒⫫↹⩛4544=NaN","layer":1},{"info":"↹⩛-305⪟⇏NaN=↹⩛0","layer":0}]}
{"id":728,"expression_no_base_symbol":"↴⪽⋼$1077$⫘$1718$","expression":"↴⪽⋼↹⩛4553⫘↹⩛11542","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1295,"operation_count":2,"complexity_ratio":647.5,"tree":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1077,"base":6},"right_expr":{"type":"numeric_atoms","value":1718,"base":6}}},"used_operators":["5TUYCnJO6w","48vC8HMD2b"],"dependent_operators":["MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"↹⩛43124021","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1077","layer":2},{"info":"number node, value=1718","layer":2},{"info":"compute binary expreesion, left_input=1077, right_input=1718, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1270957","layer":1},{"info":"compute unary expreesion, input=1270957, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=1270957","layer":0}],"base":6,"result_base":6,"text":"↴⪽⋼↹⩛4553⫘↹⩛11542=↹⩛43124021","reverse_text":"↹⩛43124021=↴⪽⋼↹⩛4553⫘↹⩛11542","cot":[{"info":"↹⩛4553⫘↹⩛11542=↹⩛43124021","layer":1},{"info":"↴⪽⋼↹⩛43124021=↹⩛43124021","layer":0}]}
{"id":729,"expression_no_base_symbol":"≦∁$1525$⊋≦⊧$2703$","expression":"≦∁↹⩛11021⊋≦⊧↹⩛20303","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":58,"operation_count":2,"complexity_ratio":29.0,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1525,"base":6},"right_expr":{"type":"numeric_atoms","value":2703,"base":6}}},"used_operators":["9ICcGScMcE","oRDoc9rAEX"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1525","layer":2},{"info":"number node, value=2703","layer":2},{"info":"compute binary expreesion, left_input=1525, right_input=2703, 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=-3988","layer":1},{"info":"compute unary expreesion, input=-3988, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":0}],"base":6,"result_base":6,"text":"≦∁↹⩛11021⊋≦⊧↹⩛20303=↹⩛151","reverse_text":"↹⩛151=≦∁↹⩛11021⊋≦⊧↹⩛20303","cot":[{"info":"↹⩛11021⊋≦⊧↹⩛20303=↹⩛-30244","layer":1},{"info":"≦∁↹⩛-30244=↹⩛151","layer":0}]}
{"id":730,"expression_no_base_symbol":"($6979$⫌⩉⩟$1868$)⫩","expression":"(↹⩛52151⫌⩉⩟↹⩛12352)⫩","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12288,"operation_count":2,"complexity_ratio":6144.0,"tree":{"type":"unary","operator":"⫩","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":6979,"base":6},"right_expr":{"type":"numeric_atoms","value":1868,"base":6}}},"used_operators":["6aG7x05OhS","XIIwhv8d0m"],"dependent_operators":["dWAJyo7jo9","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=6979","layer":2},{"info":"number node, value=1868","layer":2},{"info":"compute binary expreesion, left_input=6979, right_input=1868, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute unary expreesion, input=-50, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛52151⫌⩉⩟↹⩛12352)⫩=NaN","reverse_text":"NaN=(↹⩛52151⫌⩉⩟↹⩛12352)⫩","cot":[{"info":"↹⩛52151⫌⩉⩟↹⩛12352=↹⩛-122","layer":1},{"info":"↹⩛-122⫩=NaN","layer":0}]}
{"id":731,"expression_no_base_symbol":"($3236$⊍⩺⋍$1850$)⋥≓≎($5314$⋷$6983$)","expression":"(↹⩛22552⊍⩺⋍↹⩛12322)⋥≓≎(↹⩛40334⋷↹⩛52155)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":212,"operation_count":3,"complexity_ratio":70.66666666666667,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3236,"base":6},"right_expr":{"type":"numeric_atoms","value":1850,"base":6}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5314,"base":6},"right_expr":{"type":"numeric_atoms","value":6983,"base":6}}},"used_operators":["Qy55tPpLXF","OXDGMFPWZM","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3236","layer":2},{"info":"number node, value=1850","layer":2},{"info":"compute binary expreesion, left_input=3236, right_input=1850, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"number node, value=5314","layer":2},{"info":"number node, value=6983","layer":2},{"info":"compute binary expreesion, left_input=5314, right_input=6983, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8652","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8652, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":6,"result_base":6,"text":"(↹⩛22552⊍⩺⋍↹⩛12322)⋥≓≎(↹⩛40334⋷↹⩛52155)=↹⩛151","reverse_text":"↹⩛151=(↹⩛22552⊍⩺⋍↹⩛12322)⋥≓≎(↹⩛40334⋷↹⩛52155)","cot":[{"info":"↹⩛22552⊍⩺⋍↹⩛12322=NaN","layer":1},{"info":"↹⩛40334⋷↹⩛52155=↹⩛104020","layer":1},{"info":"NaN⋥≓≎↹⩛104020=↹⩛151","layer":0}]}
{"id":732,"expression_no_base_symbol":"($6618$⨔≚≋$4123$)⫉⨲⊜$3482$⨐$1394$","expression":"(↹⩛50350⨔≚≋↹⩛31031)⫉⨲⊜↹⩛24042⨐↹⩛10242","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":60,"operation_count":3,"complexity_ratio":20.0,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":6618,"base":6},"right_expr":{"type":"numeric_atoms","value":4123,"base":6}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":3482,"base":6},"right_expr":{"type":"numeric_atoms","value":1394,"base":6}}},"used_operators":["WhqkvtTD3t","Z57zeUYC9z","Noe24qw2ks"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"↹⩛-52430","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6618","layer":2},{"info":"number node, value=4123","layer":2},{"info":"compute binary expreesion, left_input=6618, right_input=4123, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":1},{"info":"number node, value=3482","layer":2},{"info":"number node, value=1394","layer":2},{"info":"compute binary expreesion, left_input=3482, right_input=1394, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-6964","layer":1},{"info":"compute binary expreesion, left_input=9872, right_input=-6964, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-7074","layer":0}],"base":6,"result_base":6,"text":"(↹⩛50350⨔≚≋↹⩛31031)⫉⨲⊜↹⩛24042⨐↹⩛10242=↹⩛-52430","reverse_text":"↹⩛-52430=(↹⩛50350⨔≚≋↹⩛31031)⫉⨲⊜↹⩛24042⨐↹⩛10242","cot":[{"info":"↹⩛50350⨔≚≋↹⩛31031=↹⩛113412","layer":1},{"info":"↹⩛24042⨐↹⩛10242=↹⩛-52124","layer":1},{"info":"↹⩛113412⫉⨲⊜↹⩛-52124=↹⩛-52430","layer":0}]}
{"id":733,"expression_no_base_symbol":"($1093$⋳⪒$2411$)∘(≔$1165$)","expression":"(↹⩛5021⋳⪒↹⩛15055)∘(≔↹⩛5221)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":44,"operation_count":3,"complexity_ratio":14.666666666666666,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1093,"base":6},"right_expr":{"type":"numeric_atoms","value":2411,"base":6}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":1165,"base":6}}},"used_operators":["Z5m6OM72h2","12rbrZMWeM","8FLs4eVsLt"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk"],"result":"↹⩛4044","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1093","layer":2},{"info":"number node, value=2411","layer":2},{"info":"compute binary expreesion, left_input=1093, right_input=2411, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-512","layer":1},{"info":"number node, value=1165","layer":2},{"info":"compute unary expreesion, input=1165, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-31326","layer":1},{"info":"compute binary expreesion, left_input=-512, right_input=-31326, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=892","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5021⋳⪒↹⩛15055)∘(≔↹⩛5221)=↹⩛4044","reverse_text":"↹⩛4044=(↹⩛5021⋳⪒↹⩛15055)∘(≔↹⩛5221)","cot":[{"info":"↹⩛5021⋳⪒↹⩛15055=↹⩛-2212","layer":1},{"info":"≔↹⩛5221=↹⩛-401010","layer":1},{"info":"↹⩛-2212∘↹⩛-401010=↹⩛4044","layer":0}]}
{"id":734,"expression_no_base_symbol":"$2820$⩦$1772$⇣⩺⋵($1072$⩨$1427$)","expression":"↹⩛21020⩦↹⩛12112⇣⩺⋵(↹⩛4544⩨↹⩛10335)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":76,"operation_count":3,"complexity_ratio":25.333333333333332,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":2820,"base":6},"right_expr":{"type":"numeric_atoms","value":1772,"base":6}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1072,"base":6},"right_expr":{"type":"numeric_atoms","value":1427,"base":6}}},"used_operators":["F4yD0voBRQ","0kmYd0q39Y","2DlMacCsIx"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"↹⩛-1112","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2820","layer":2},{"info":"number node, value=1772","layer":2},{"info":"compute binary expreesion, left_input=2820, right_input=1772, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=5640","layer":1},{"info":"number node, value=1072","layer":2},{"info":"number node, value=1427","layer":2},{"info":"compute binary expreesion, left_input=1072, right_input=1427, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":1},{"info":"compute binary expreesion, left_input=5640, right_input=-3, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":6,"result_base":6,"text":"↹⩛21020⩦↹⩛12112⇣⩺⋵(↹⩛4544⩨↹⩛10335)=↹⩛-1112","reverse_text":"↹⩛-1112=↹⩛21020⩦↹⩛12112⇣⩺⋵(↹⩛4544⩨↹⩛10335)","cot":[{"info":"↹⩛21020⩦↹⩛12112=↹⩛42040","layer":1},{"info":"↹⩛4544⩨↹⩛10335=↹⩛-3","layer":1},{"info":"↹⩛42040⇣⩺⋵↹⩛-3=↹⩛-1112","layer":0}]}
{"id":735,"expression_no_base_symbol":"$6316$⊔$1329$⇴∐($4490$↙$1179$)","expression":"↹⩛45124⊔↹⩛10053⇴∐(↹⩛32442↙↹⩛5243)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1225,"operation_count":3,"complexity_ratio":408.3333333333333,"tree":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":6316,"base":6},"right_expr":{"type":"numeric_atoms","value":1329,"base":6}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4490,"base":6},"right_expr":{"type":"numeric_atoms","value":1179,"base":6}}},"used_operators":["HnzytWxmAO","E4l6HwMY31","yyfyN0ffXY"],"dependent_operators":["2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6316","layer":2},{"info":"number node, value=1329","layer":2},{"info":"compute binary expreesion, left_input=6316, right_input=1329, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=16877","layer":1},{"info":"number node, value=4490","layer":2},{"info":"number node, value=1179","layer":2},{"info":"compute binary expreesion, left_input=4490, right_input=1179, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3537","layer":1},{"info":"compute binary expreesion, left_input=16877, right_input=-3537, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛45124⊔↹⩛10053⇴∐(↹⩛32442↙↹⩛5243)=NaN","reverse_text":"NaN=↹⩛45124⊔↹⩛10053⇴∐(↹⩛32442↙↹⩛5243)","cot":[{"info":"↹⩛45124⊔↹⩛10053=↹⩛210045","layer":1},{"info":"↹⩛32442↙↹⩛5243=↹⩛-24213","layer":1},{"info":"↹⩛210045⇴∐↹⩛-24213=NaN","layer":0}]}
{"id":736,"expression_no_base_symbol":"($2935$≋⫹)≀⩗∶($6959$∵≐)","expression":"(↹⩛21331≋⫹)≀⩗∶(↹⩛52115∵≐)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21,"operation_count":3,"complexity_ratio":7.0,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2935,"base":6}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":6959,"base":6}}},"used_operators":["8INZBEW696","N41Kp7NANJ","59igzFyhWz"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM"],"result":"↹⩛10","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2935","layer":2},{"info":"compute unary expreesion, input=2935, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-5870","layer":1},{"info":"number node, value=6959","layer":2},{"info":"compute unary expreesion, input=6959, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=6013","layer":1},{"info":"compute binary expreesion, left_input=-5870, right_input=6013, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=6","layer":0}],"base":6,"result_base":6,"text":"(↹⩛21331≋⫹)≀⩗∶(↹⩛52115∵≐)=↹⩛10","reverse_text":"↹⩛10=(↹⩛21331≋⫹)≀⩗∶(↹⩛52115∵≐)","cot":[{"info":"↹⩛21331≋⫹=↹⩛-43102","layer":1},{"info":"↹⩛52115∵≐=↹⩛43501","layer":1},{"info":"↹⩛-43102≀⩗∶↹⩛43501=↹⩛10","layer":0}]}
{"id":737,"expression_no_base_symbol":"⇺⋃($3350$⋖∅⋲)","expression":"⇺⋃(↹⩛23302⋖∅⋲)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":223,"operation_count":2,"complexity_ratio":111.5,"tree":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":3350,"base":6}}},"used_operators":["E5v5B3UAjG","L95AwlJzhO"],"dependent_operators":["bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3350","layer":2},{"info":"compute unary expreesion, input=3350, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":1},{"info":"compute unary expreesion, input=-384231, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⇺⋃(↹⩛23302⋖∅⋲)=NaN","reverse_text":"NaN=⇺⋃(↹⩛23302⋖∅⋲)","cot":[{"info":"↹⩛23302⋖∅⋲=↹⩛-12122503","layer":1},{"info":"⇺⋃↹⩛-12122503=NaN","layer":0}]}
{"id":738,"expression_no_base_symbol":"∤↝($1037$⫲≸⪮$5053$)","expression":"∤↝(↹⩛4445⫲≸⪮↹⩛35221)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1038,"operation_count":2,"complexity_ratio":519.0,"tree":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1037,"base":6},"right_expr":{"type":"numeric_atoms","value":5053,"base":6}}},"used_operators":["3UMq87Qwqg","P3lXMJvFrc"],"dependent_operators":["s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"↹⩛4445","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1037","layer":2},{"info":"number node, value=5053","layer":2},{"info":"compute binary expreesion, left_input=1037, right_input=5053, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1037","layer":1},{"info":"compute unary expreesion, input=1037, 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=1037","layer":0}],"base":6,"result_base":6,"text":"∤↝(↹⩛4445⫲≸⪮↹⩛35221)=↹⩛4445","reverse_text":"↹⩛4445=∤↝(↹⩛4445⫲≸⪮↹⩛35221)","cot":[{"info":"↹⩛4445⫲≸⪮↹⩛35221=↹⩛4445","layer":1},{"info":"∤↝↹⩛4445=↹⩛4445","layer":0}]}
{"id":739,"expression_no_base_symbol":"($4678$%$1281$)⨻⩈⩔($1051$⪶≀⋏$7772$)","expression":"(↹⩛33354%↹⩛5533)⨻⩈⩔(↹⩛4511⪶≀⋏↹⩛55552)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":104,"operation_count":3,"complexity_ratio":34.666666666666664,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4678,"base":6},"right_expr":{"type":"numeric_atoms","value":1281,"base":6}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1051,"base":6},"right_expr":{"type":"numeric_atoms","value":7772,"base":6}}},"used_operators":["nEsXyWgiOK","k8jYdgA6NY","zR4jO40bMj"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"↹⩛-450","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4678","layer":2},{"info":"number node, value=1281","layer":2},{"info":"compute binary expreesion, left_input=4678, right_input=1281, op_id = k8jYdgA6NY binary_op_definition= 'None', output=835","layer":1},{"info":"number node, value=1051","layer":2},{"info":"number node, value=7772","layer":2},{"info":"compute binary expreesion, left_input=1051, right_input=7772, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-18929","layer":1},{"info":"compute binary expreesion, left_input=835, right_input=-18929, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":0}],"base":6,"result_base":6,"text":"(↹⩛33354%↹⩛5533)⨻⩈⩔(↹⩛4511⪶≀⋏↹⩛55552)=↹⩛-450","reverse_text":"↹⩛-450=(↹⩛33354%↹⩛5533)⨻⩈⩔(↹⩛4511⪶≀⋏↹⩛55552)","cot":[{"info":"↹⩛33354%↹⩛5533=↹⩛3511","layer":1},{"info":"↹⩛4511⪶≀⋏↹⩛55552=↹⩛-223345","layer":1},{"info":"↹⩛3511⨻⩈⩔↹⩛-223345=↹⩛-450","layer":0}]}
{"id":740,"expression_no_base_symbol":"$3609$∘$7304$⨪↰⇹($1560$⨰$7806$)","expression":"↹⩛24413∘↹⩛53452⨪↰⇹(↹⩛11120⨰↹⩛100050)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7226,"operation_count":3,"complexity_ratio":2408.6666666666665,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":3609,"base":6},"right_expr":{"type":"numeric_atoms","value":7304,"base":6}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1560,"base":6},"right_expr":{"type":"numeric_atoms","value":7806,"base":6}}},"used_operators":["tmPS8pqC7x","Z5m6OM72h2","eewbuw0ToL"],"dependent_operators":["rJVOvQCfKK","eH2TOUuTDT","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛53230","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3609","layer":2},{"info":"number node, value=7304","layer":2},{"info":"compute binary expreesion, left_input=3609, right_input=7304, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=7218","layer":1},{"info":"number node, value=1560","layer":2},{"info":"number node, value=7806","layer":2},{"info":"compute binary expreesion, left_input=1560, right_input=7806, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-6236","layer":1},{"info":"compute binary expreesion, left_input=7218, right_input=-6236, 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=7218","layer":0}],"base":6,"result_base":6,"text":"↹⩛24413∘↹⩛53452⨪↰⇹(↹⩛11120⨰↹⩛100050)=↹⩛53230","reverse_text":"↹⩛53230=↹⩛24413∘↹⩛53452⨪↰⇹(↹⩛11120⨰↹⩛100050)","cot":[{"info":"↹⩛24413∘↹⩛53452=↹⩛53230","layer":1},{"info":"↹⩛11120⨰↹⩛100050=↹⩛-44512","layer":1},{"info":"↹⩛53230⨪↰⇹↹⩛-44512=↹⩛53230","layer":0}]}
{"id":741,"expression_no_base_symbol":"$4489$≠≀$6436$⪡(⇤←$1754$)","expression":"↹⩛32441≠≀↹⩛45444⪡(⇤←↹⩛12042)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":67,"operation_count":3,"complexity_ratio":22.333333333333332,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":4489,"base":6},"right_expr":{"type":"numeric_atoms","value":6436,"base":6}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":1754,"base":6}}},"used_operators":["oraRL2iQuh","IwW236VD4Y","jfAgQ2OQeM"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx"],"result":"↹⩛220440","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4489","layer":2},{"info":"number node, value=6436","layer":2},{"info":"compute binary expreesion, left_input=4489, right_input=6436, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-8672","layer":1},{"info":"number node, value=1754","layer":2},{"info":"compute unary expreesion, input=1754, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-7404","layer":1},{"info":"compute binary expreesion, left_input=-8672, right_input=-7404, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=18312","layer":0}],"base":6,"result_base":6,"text":"↹⩛32441≠≀↹⩛45444⪡(⇤←↹⩛12042)=↹⩛220440","reverse_text":"↹⩛220440=↹⩛32441≠≀↹⩛45444⪡(⇤←↹⩛12042)","cot":[{"info":"↹⩛32441≠≀↹⩛45444=↹⩛-104052","layer":1},{"info":"⇤←↹⩛12042=↹⩛-54140","layer":1},{"info":"↹⩛-104052⪡↹⩛-54140=↹⩛220440","layer":0}]}
{"id":742,"expression_no_base_symbol":"$6904$⋹⋡⊁$3267$⪁$2689$⨚⇆$7084$","expression":"↹⩛51544⋹⋡⊁↹⩛23043⪁↹⩛20241⨚⇆↹⩛52444","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":85442,"operation_count":3,"complexity_ratio":28480.666666666668,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":6904,"base":6},"right_expr":{"type":"numeric_atoms","value":3267,"base":6}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2689,"base":6},"right_expr":{"type":"numeric_atoms","value":7084,"base":6}}},"used_operators":["I7sXao9hZE","As8RqfVLgs","lwHaAYXP2r"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=6904","layer":2},{"info":"number node, value=3267","layer":2},{"info":"compute binary expreesion, left_input=6904, right_input=3267, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4017","layer":1},{"info":"number node, value=2689","layer":2},{"info":"number node, value=7084","layer":2},{"info":"compute binary expreesion, left_input=2689, right_input=7084, 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=4017, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛51544⋹⋡⊁↹⩛23043⪁↹⩛20241⨚⇆↹⩛52444=NaN","reverse_text":"NaN=↹⩛51544⋹⋡⊁↹⩛23043⪁↹⩛20241⨚⇆↹⩛52444","cot":[{"info":"↹⩛51544⋹⋡⊁↹⩛23043=↹⩛30333","layer":1},{"info":"↹⩛20241⨚⇆↹⩛52444=NaN","layer":1},{"info":"↹⩛30333⪁NaN=NaN","layer":0}]}
{"id":743,"expression_no_base_symbol":"(⩰$1250$)∳⫺(∨∊⋏$3816$)","expression":"(⩰↹⩛5442)∳⫺(∨∊⋏↹⩛25400)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":115,"operation_count":3,"complexity_ratio":38.333333333333336,"tree":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":1250,"base":6}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":3816,"base":6}}},"used_operators":["AzXXKTstlj","WkeUrDK8WX","R5aXW34M0v"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ"],"result":"↹⩛-3315052","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1250","layer":2},{"info":"compute unary expreesion, input=1250, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-2250","layer":1},{"info":"number node, value=3816","layer":2},{"info":"compute unary expreesion, input=3816, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=78383","layer":1},{"info":"compute binary expreesion, left_input=-2250, right_input=78383, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-165704","layer":0}],"base":6,"result_base":6,"text":"(⩰↹⩛5442)∳⫺(∨∊⋏↹⩛25400)=↹⩛-3315052","reverse_text":"↹⩛-3315052=(⩰↹⩛5442)∳⫺(∨∊⋏↹⩛25400)","cot":[{"info":"⩰↹⩛5442=↹⩛-14230","layer":1},{"info":"∨∊⋏↹⩛25400=↹⩛1402515","layer":1},{"info":"↹⩛-14230∳⫺↹⩛1402515=↹⩛-3315052","layer":0}]}
{"id":744,"expression_no_base_symbol":"($4111$⩌⋺$4409$)⩼⇪↪$3249$⫁$3905$","expression":"(↹⩛31011⩌⋺↹⩛32225)⩼⇪↪↹⩛23013⫁↹⩛30025","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":115,"operation_count":3,"complexity_ratio":38.333333333333336,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":4111,"base":6},"right_expr":{"type":"numeric_atoms","value":4409,"base":6}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":3249,"base":6},"right_expr":{"type":"numeric_atoms","value":3905,"base":6}}},"used_operators":["ocnLzx9CaJ","g7Hmc5v1ko","0ajvFaJAv0"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","cHh1gJQ2o6","AHs5Up7iyr"],"result":"↹⩛-224453","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4111","layer":2},{"info":"number node, value=4409","layer":2},{"info":"compute binary expreesion, left_input=4111, right_input=4409, 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=-8641","layer":1},{"info":"number node, value=3249","layer":2},{"info":"number node, value=3905","layer":2},{"info":"compute binary expreesion, left_input=3249, right_input=3905, 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=-8641, right_input=160, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-19185","layer":0}],"base":6,"result_base":6,"text":"(↹⩛31011⩌⋺↹⩛32225)⩼⇪↪↹⩛23013⫁↹⩛30025=↹⩛-224453","reverse_text":"↹⩛-224453=(↹⩛31011⩌⋺↹⩛32225)⩼⇪↪↹⩛23013⫁↹⩛30025","cot":[{"info":"↹⩛31011⩌⋺↹⩛32225=↹⩛-104001","layer":1},{"info":"↹⩛23013⫁↹⩛30025=↹⩛424","layer":1},{"info":"↹⩛-104001⩼⇪↪↹⩛424=↹⩛-224453","layer":0}]}
{"id":745,"expression_no_base_symbol":"($2886$≥⨤⩑$1071$)⨫⇇↔($2710$⨭⪣$5910$)","expression":"(↹⩛21210≥⨤⩑↹⩛4543)⨫⇇↔(↹⩛20314⨭⪣↹⩛43210)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":56,"operation_count":3,"complexity_ratio":18.666666666666668,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2886,"base":6},"right_expr":{"type":"numeric_atoms","value":1071,"base":6}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2710,"base":6},"right_expr":{"type":"numeric_atoms","value":5910,"base":6}}},"used_operators":["LXhwmt4mBO","gJLn6v0xnP","kn8WO9XteQ"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"↹⩛-2235","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2886","layer":2},{"info":"number node, value=1071","layer":2},{"info":"compute binary expreesion, left_input=2886, right_input=1071, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"number node, value=2710","layer":2},{"info":"number node, value=5910","layer":2},{"info":"compute binary expreesion, left_input=2710, right_input=5910, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1431","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=1431, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":6,"result_base":6,"text":"(↹⩛21210≥⨤⩑↹⩛4543)⨫⇇↔(↹⩛20314⨭⪣↹⩛43210)=↹⩛-2235","reverse_text":"↹⩛-2235=(↹⩛21210≥⨤⩑↹⩛4543)⨫⇇↔(↹⩛20314⨭⪣↹⩛43210)","cot":[{"info":"↹⩛21210≥⨤⩑↹⩛4543=↹⩛5414","layer":1},{"info":"↹⩛20314⨭⪣↹⩛43210=↹⩛10343","layer":1},{"info":"↹⩛5414⨫⇇↔↹⩛10343=↹⩛-2235","layer":0}]}
{"id":746,"expression_no_base_symbol":"-$2572$⪢$4852$","expression":"-↹⩛15524⪢↹⩛34244","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4853,"operation_count":2,"complexity_ratio":2426.5,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2572,"base":6},"right_expr":{"type":"numeric_atoms","value":4852,"base":6}}},"used_operators":["t8gj7n24qd","dWAJyo7jo9"],"dependent_operators":["k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2572","layer":2},{"info":"number node, value=4852","layer":2},{"info":"compute binary expreesion, left_input=2572, right_input=4852, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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 = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":0}],"base":6,"result_base":6,"text":"-↹⩛15524⪢↹⩛34244=NaN","reverse_text":"NaN=-↹⩛15524⪢↹⩛34244","cot":[{"info":"↹⩛15524⪢↹⩛34244=NaN","layer":1},{"info":"-NaN=NaN","layer":0}]}
{"id":747,"expression_no_base_symbol":"⨭⩧⫛($3025$≀⫉$1283$)","expression":"⨭⩧⫛(↹⩛22001≀⫉↹⩛5535)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":222,"operation_count":2,"complexity_ratio":111.0,"tree":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3025,"base":6},"right_expr":{"type":"numeric_atoms","value":1283,"base":6}}},"used_operators":["g21JL6JxX7","oZj3VtZNQx"],"dependent_operators":["Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3025","layer":2},{"info":"number node, value=1283","layer":2},{"info":"compute binary expreesion, left_input=3025, right_input=1283, 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 = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⨭⩧⫛(↹⩛22001≀⫉↹⩛5535)=NaN","reverse_text":"NaN=⨭⩧⫛(↹⩛22001≀⫉↹⩛5535)","cot":[{"info":"↹⩛22001≀⫉↹⩛5535=↹⩛21022","layer":1},{"info":"⨭⩧⫛↹⩛21022=NaN","layer":0}]}
{"id":748,"expression_no_base_symbol":"($1064$≧⫂∧$1363$)⋾⨃∁$4233$⊋$1922$","expression":"(↹⩛4532≧⫂∧↹⩛10151)⋾⨃∁↹⩛31333⊋↹⩛12522","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34624958,"operation_count":3,"complexity_ratio":11541652.666666666,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1064,"base":6},"right_expr":{"type":"numeric_atoms","value":1363,"base":6}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":4233,"base":6},"right_expr":{"type":"numeric_atoms","value":1922,"base":6}}},"used_operators":["212REbPD9h","Ph9nP6C5qx","W4tP9CfskL"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","rysDP5nf3Z","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1064","layer":2},{"info":"number node, value=1363","layer":2},{"info":"compute binary expreesion, left_input=1064, right_input=1363, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=890","layer":1},{"info":"number node, value=4233","layer":2},{"info":"number node, value=1922","layer":2},{"info":"compute binary expreesion, left_input=4233, right_input=1922, 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=34620200","layer":1},{"info":"compute binary expreesion, left_input=890, right_input=34620200, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛4532≧⫂∧↹⩛10151)⋾⨃∁↹⩛31333⊋↹⩛12522=NaN","reverse_text":"NaN=(↹⩛4532≧⫂∧↹⩛10151)⋾⨃∁↹⩛31333⊋↹⩛12522","cot":[{"info":"↹⩛4532≧⫂∧↹⩛10151=↹⩛4042","layer":1},{"info":"↹⩛31333⊋↹⩛12522=↹⩛3234010412","layer":1},{"info":"↹⩛4042⋾⨃∁↹⩛3234010412=NaN","layer":0}]}
{"id":749,"expression_no_base_symbol":"⨙⪌($3461$∙∹∝$3140$)","expression":"⨙⪌(↹⩛24005∙∹∝↹⩛22312)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":911,"operation_count":2,"complexity_ratio":455.5,"tree":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":3461,"base":6},"right_expr":{"type":"numeric_atoms","value":3140,"base":6}}},"used_operators":["vEGLkm4Z2k","HmxsFra2vL"],"dependent_operators":["tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"↹⩛4004","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3461","layer":2},{"info":"number node, value=3140","layer":2},{"info":"compute binary expreesion, left_input=3461, right_input=3140, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":0}],"base":6,"result_base":6,"text":"⨙⪌(↹⩛24005∙∹∝↹⩛22312)=↹⩛4004","reverse_text":"↹⩛4004=⨙⪌(↹⩛24005∙∹∝↹⩛22312)","cot":[{"info":"↹⩛24005∙∹∝↹⩛22312=↹⩛0","layer":1},{"info":"⨙⪌↹⩛0=↹⩛4004","layer":0}]}
{"id":750,"expression_no_base_symbol":"∐⩳⋚(⇵⪽$7277$)","expression":"∐⩳⋚(⇵⪽↹⩛53405)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":24,"operation_count":2,"complexity_ratio":12.0,"tree":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":7277,"base":6}}},"used_operators":["SL6IHkK8vl","ZGCBLdVRRX"],"dependent_operators":["s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=7277","layer":2},{"info":"compute unary expreesion, input=7277, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', 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":6,"result_base":6,"text":"∐⩳⋚(⇵⪽↹⩛53405)=NaN","reverse_text":"NaN=∐⩳⋚(⇵⪽↹⩛53405)","cot":[{"info":"⇵⪽↹⩛53405=NaN","layer":1},{"info":"∐⩳⋚NaN=NaN","layer":0}]}
{"id":751,"expression_no_base_symbol":"⊈($3146$⋛$8533$)","expression":"⊈(↹⩛22322⋛↹⩛103301)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":266,"operation_count":2,"complexity_ratio":133.0,"tree":{"type":"unary","operator":"⊈","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":3146,"base":6},"right_expr":{"type":"numeric_atoms","value":8533,"base":6}}},"used_operators":["RHru8klgy8","YbUVn0Rbpy"],"dependent_operators":["12rbrZMWeM","xUOZtlo3hN","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"↹⩛2120040","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3146","layer":2},{"info":"number node, value=8533","layer":2},{"info":"compute binary expreesion, left_input=3146, right_input=8533, 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=-103878","layer":1},{"info":"compute unary expreesion, input=-103878, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=103704","layer":0}],"base":6,"result_base":6,"text":"⊈(↹⩛22322⋛↹⩛103301)=↹⩛2120040","reverse_text":"↹⩛2120040=⊈(↹⩛22322⋛↹⩛103301)","cot":[{"info":"↹⩛22322⋛↹⩛103301=↹⩛-2120530","layer":1},{"info":"⊈↹⩛-2120530=↹⩛2120040","layer":0}]}
{"id":752,"expression_no_base_symbol":"$1747$⨜⨶$2552$⩹$1935$⊉≛↸$3830$","expression":"↹⩛12031⨜⨶↹⩛15452⩹↹⩛12543⊉≛↸↹⩛25422","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":40,"operation_count":3,"complexity_ratio":13.333333333333334,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1747,"base":6},"right_expr":{"type":"numeric_atoms","value":2552,"base":6}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1935,"base":6},"right_expr":{"type":"numeric_atoms","value":3830,"base":6}}},"used_operators":["2Wsdkap16l","HiPekx5b7W","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛25524","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1747","layer":2},{"info":"number node, value=2552","layer":2},{"info":"compute binary expreesion, left_input=1747, right_input=2552, 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=-4848","layer":1},{"info":"number node, value=1935","layer":2},{"info":"number node, value=3830","layer":2},{"info":"compute binary expreesion, left_input=1935, right_input=3830, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3870","layer":1},{"info":"compute binary expreesion, left_input=-4848, right_input=3870, 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=3868","layer":0}],"base":6,"result_base":6,"text":"↹⩛12031⨜⨶↹⩛15452⩹↹⩛12543⊉≛↸↹⩛25422=↹⩛25524","reverse_text":"↹⩛25524=↹⩛12031⨜⨶↹⩛15452⩹↹⩛12543⊉≛↸↹⩛25422","cot":[{"info":"↹⩛12031⨜⨶↹⩛15452=↹⩛-34240","layer":1},{"info":"↹⩛12543⊉≛↸↹⩛25422=↹⩛25530","layer":1},{"info":"↹⩛-34240⩹↹⩛25530=↹⩛25524","layer":0}]}
{"id":753,"expression_no_base_symbol":"($3439$%$1354$)⫌⩹⨱","expression":"(↹⩛23531%↹⩛10134)⫌⩹⨱","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3439,"base":6},"right_expr":{"type":"numeric_atoms","value":1354,"base":6}}},"used_operators":["EBcxylXtPf","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z"],"result":"↹⩛21131","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3439","layer":2},{"info":"number node, value=1354","layer":2},{"info":"compute binary expreesion, left_input=3439, right_input=1354, op_id = k8jYdgA6NY binary_op_definition= 'None', output=731","layer":1},{"info":"compute unary expreesion, input=731, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=2863","layer":0}],"base":6,"result_base":6,"text":"(↹⩛23531%↹⩛10134)⫌⩹⨱=↹⩛21131","reverse_text":"↹⩛21131=(↹⩛23531%↹⩛10134)⫌⩹⨱","cot":[{"info":"↹⩛23531%↹⩛10134=↹⩛3215","layer":1},{"info":"↹⩛3215⫌⩹⨱=↹⩛21131","layer":0}]}
{"id":754,"expression_no_base_symbol":"⫟$3749$≚⊃≕$1956$","expression":"⫟↹⩛25205≚⊃≕↹⩛13020","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":56,"operation_count":2,"complexity_ratio":28.0,"tree":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":3749,"base":6},"right_expr":{"type":"numeric_atoms","value":1956,"base":6}}},"used_operators":["z4E1FaHLuy","Bmrmz2XGnR"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"↹⩛3134","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3749","layer":2},{"info":"number node, value=1956","layer":2},{"info":"compute binary expreesion, left_input=3749, right_input=1956, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=706","layer":0}],"base":6,"result_base":6,"text":"⫟↹⩛25205≚⊃≕↹⩛13020=↹⩛3134","reverse_text":"↹⩛3134=⫟↹⩛25205≚⊃≕↹⩛13020","cot":[{"info":"↹⩛25205≚⊃≕↹⩛13020=↹⩛151","layer":1},{"info":"⫟↹⩛151=↹⩛3134","layer":0}]}
{"id":755,"expression_no_base_symbol":"($2867$⇍⊗$2892$)∊∟⩊($4265$⇴$1582$)","expression":"(↹⩛21135⇍⊗↹⩛21220)∊∟⩊(↹⩛31425⇴↹⩛11154)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":55,"operation_count":3,"complexity_ratio":18.333333333333332,"tree":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":2867,"base":6},"right_expr":{"type":"numeric_atoms","value":2892,"base":6}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":4265,"base":6},"right_expr":{"type":"numeric_atoms","value":1582,"base":6}}},"used_operators":["ddLRYrp01A","5uvYHDjeKN","4JB6nKBMSY"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"↹⩛335200","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2867","layer":2},{"info":"number node, value=2892","layer":2},{"info":"compute binary expreesion, left_input=2867, right_input=2892, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"number node, value=4265","layer":2},{"info":"number node, value=1582","layer":2},{"info":"compute binary expreesion, left_input=4265, right_input=1582, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=28368","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=28368, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=28368","layer":0}],"base":6,"result_base":6,"text":"(↹⩛21135⇍⊗↹⩛21220)∊∟⩊(↹⩛31425⇴↹⩛11154)=↹⩛335200","reverse_text":"↹⩛335200=(↹⩛21135⇍⊗↹⩛21220)∊∟⩊(↹⩛31425⇴↹⩛11154)","cot":[{"info":"↹⩛21135⇍⊗↹⩛21220=↹⩛-1044","layer":1},{"info":"↹⩛31425⇴↹⩛11154=↹⩛335200","layer":1},{"info":"↹⩛-1044∊∟⩊↹⩛335200=↹⩛335200","layer":0}]}
{"id":756,"expression_no_base_symbol":"$2224$⪃⊛⇣$4399$⫚↹⊑$2001$⨎$3946$","expression":"↹⩛14144⪃⊛⇣↹⩛32211⫚↹⊑↹⩛13133⨎↹⩛30134","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":588,"operation_count":3,"complexity_ratio":196.0,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2224,"base":6},"right_expr":{"type":"numeric_atoms","value":4399,"base":6}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2001,"base":6},"right_expr":{"type":"numeric_atoms","value":3946,"base":6}}},"used_operators":["dfKe02y8D2","rrgAzCduG9","rJVOvQCfKK"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"↹⩛-2023","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2224","layer":2},{"info":"number node, value=4399","layer":2},{"info":"compute binary expreesion, left_input=2224, right_input=4399, 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=2001","layer":2},{"info":"number node, value=3946","layer":2},{"info":"compute binary expreesion, left_input=2001, right_input=3946, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3946","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=3946, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":6,"result_base":6,"text":"↹⩛14144⪃⊛⇣↹⩛32211⫚↹⊑↹⩛13133⨎↹⩛30134=↹⩛-2023","reverse_text":"↹⩛-2023=↹⩛14144⪃⊛⇣↹⩛32211⫚↹⊑↹⩛13133⨎↹⩛30134","cot":[{"info":"↹⩛14144⪃⊛⇣↹⩛32211=↹⩛5414","layer":1},{"info":"↹⩛13133⨎↹⩛30134=↹⩛30134","layer":1},{"info":"↹⩛5414⫚↹⊑↹⩛30134=↹⩛-2023","layer":0}]}
{"id":757,"expression_no_base_symbol":"↡(⨰⫟⨤$1916$)","expression":"↡(⨰⫟⨤↹⩛12512)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6842,"operation_count":2,"complexity_ratio":3421.0,"tree":{"type":"unary","operator":"↡","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1916,"base":6}}},"used_operators":["MXaNJeIAZ3","Tw270M8GLb"],"dependent_operators":["DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1916","layer":2},{"info":"compute unary expreesion, input=1916, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↡(⨰⫟⨤↹⩛12512)=NaN","reverse_text":"NaN=↡(⨰⫟⨤↹⩛12512)","cot":[{"info":"⨰⫟⨤↹⩛12512=NaN","layer":1},{"info":"↡NaN=NaN","layer":0}]}
{"id":758,"expression_no_base_symbol":"$1831$⋕⪉⪜$1635$∧","expression":"↹⩛12251⋕⪉⪜↹⩛11323∧","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":34,"operation_count":2,"complexity_ratio":17.0,"tree":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1831,"base":6},"right_expr":{"type":"numeric_atoms","value":1635,"base":6}}},"used_operators":["z63VuFQld9","z6LnFrNh4i"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1831","layer":2},{"info":"number node, value=1635","layer":2},{"info":"compute binary expreesion, left_input=1831, right_input=1635, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":1},{"info":"compute unary expreesion, input=2802, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛12251⋕⪉⪜↹⩛11323∧=NaN","reverse_text":"NaN=↹⩛12251⋕⪉⪜↹⩛11323∧","cot":[{"info":"↹⩛12251⋕⪉⪜↹⩛11323=↹⩛20550","layer":1},{"info":"↹⩛20550∧=NaN","layer":0}]}
{"id":759,"expression_no_base_symbol":"$2540$∙∹∝$3486$∲⫓(⪲⇎$2191$)","expression":"↹⩛15432∙∹∝↹⩛24050∲⫓(⪲⇎↹⩛14051)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":2540,"base":6},"right_expr":{"type":"numeric_atoms","value":3486,"base":6}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2191,"base":6}}},"used_operators":["i8ToyICDmI","HmxsFra2vL","XPYlsWDdGa"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2540","layer":2},{"info":"number node, value=3486","layer":2},{"info":"compute binary expreesion, left_input=2540, right_input=3486, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=2191","layer":2},{"info":"compute unary expreesion, input=2191, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4382","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=4382, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"↹⩛15432∙∹∝↹⩛24050∲⫓(⪲⇎↹⩛14051)=↹⩛0","reverse_text":"↹⩛0=↹⩛15432∙∹∝↹⩛24050∲⫓(⪲⇎↹⩛14051)","cot":[{"info":"↹⩛15432∙∹∝↹⩛24050=↹⩛0","layer":1},{"info":"⪲⇎↹⩛14051=↹⩛32142","layer":1},{"info":"↹⩛0∲⫓↹⩛32142=↹⩛0","layer":0}]}
{"id":760,"expression_no_base_symbol":"$2721$∠↢$2027$+(≸$1097$)","expression":"↹⩛20333∠↢↹⩛13215+(≸↹⩛5025)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":73,"operation_count":3,"complexity_ratio":24.333333333333332,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2721,"base":6},"right_expr":{"type":"numeric_atoms","value":2027,"base":6}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":1097,"base":6}}},"used_operators":["W4YGzv6Whe","KbjG8mgYpV","eOf03JbCpp"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI"],"result":"↹⩛-452254","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2721","layer":2},{"info":"number node, value=2027","layer":2},{"info":"compute binary expreesion, left_input=2721, right_input=2027, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-38180","layer":1},{"info":"number node, value=1097","layer":2},{"info":"compute unary expreesion, input=1097, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":1},{"info":"compute binary expreesion, left_input=-38180, right_input=58, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-38122","layer":0}],"base":6,"result_base":6,"text":"↹⩛20333∠↢↹⩛13215+(≸↹⩛5025)=↹⩛-452254","reverse_text":"↹⩛-452254=↹⩛20333∠↢↹⩛13215+(≸↹⩛5025)","cot":[{"info":"↹⩛20333∠↢↹⩛13215=↹⩛-452432","layer":1},{"info":"≸↹⩛5025=↹⩛134","layer":1},{"info":"↹⩛-452432+↹⩛134=↹⩛-452254","layer":0}]}
{"id":761,"expression_no_base_symbol":"$3910$⊮⊟↴$3668$∷","expression":"↹⩛30034⊮⊟↴↹⩛24552∷","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":51,"operation_count":2,"complexity_ratio":25.5,"tree":{"type":"unary","operator":"∷","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":3910,"base":6},"right_expr":{"type":"numeric_atoms","value":3668,"base":6}}},"used_operators":["nFAOW8KTqp","QDVgd2eftb"],"dependent_operators":["D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3910","layer":2},{"info":"number node, value=3668","layer":2},{"info":"compute binary expreesion, left_input=3910, right_input=3668, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=0","layer":0}],"base":6,"result_base":6,"text":"↹⩛30034⊮⊟↴↹⩛24552∷=↹⩛0","reverse_text":"↹⩛0=↹⩛30034⊮⊟↴↹⩛24552∷","cot":[{"info":"↹⩛30034⊮⊟↴↹⩛24552=↹⩛0","layer":1},{"info":"↹⩛0∷=↹⩛0","layer":0}]}
{"id":762,"expression_no_base_symbol":"(↑$2339$)∁","expression":"(↑↹⩛14455)∁","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":47,"operation_count":2,"complexity_ratio":23.5,"tree":{"type":"unary","operator":"∁","unary_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":2339,"base":6}}},"used_operators":["jdwGQqwJi5","tR7O2zTn5j"],"dependent_operators":["2DDjHMKMc0","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx"],"result":"↹⩛520","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2339","layer":2},{"info":"compute unary expreesion, input=2339, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":1},{"info":"compute unary expreesion, input=192, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=192","layer":0}],"base":6,"result_base":6,"text":"(↑↹⩛14455)∁=↹⩛520","reverse_text":"↹⩛520=(↑↹⩛14455)∁","cot":[{"info":"↑↹⩛14455=↹⩛520","layer":1},{"info":"↹⩛520∁=↹⩛520","layer":0}]}
{"id":763,"expression_no_base_symbol":"($1203$≓∲$4816$)⇍⊗($1907$⇴$2068$)","expression":"(↹⩛5323≓∲↹⩛34144)⇍⊗(↹⩛12455⇴↹⩛13324)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":104,"operation_count":3,"complexity_ratio":34.666666666666664,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1203,"base":6},"right_expr":{"type":"numeric_atoms","value":4816,"base":6}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1907,"base":6},"right_expr":{"type":"numeric_atoms","value":2068,"base":6}}},"used_operators":["5uvYHDjeKN","s1XTVnmDOJ","4JB6nKBMSY"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"↹⩛-1044","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1203","layer":2},{"info":"number node, value=4816","layer":2},{"info":"compute binary expreesion, left_input=1203, right_input=4816, 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=12813","layer":1},{"info":"number node, value=1907","layer":2},{"info":"number node, value=2068","layer":2},{"info":"compute binary expreesion, left_input=1907, right_input=2068, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=15192","layer":1},{"info":"compute binary expreesion, left_input=12813, right_input=15192, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5323≓∲↹⩛34144)⇍⊗(↹⩛12455⇴↹⩛13324)=↹⩛-1044","reverse_text":"↹⩛-1044=(↹⩛5323≓∲↹⩛34144)⇍⊗(↹⩛12455⇴↹⩛13324)","cot":[{"info":"↹⩛5323≓∲↹⩛34144=↹⩛135153","layer":1},{"info":"↹⩛12455⇴↹⩛13324=↹⩛154200","layer":1},{"info":"↹⩛135153⇍⊗↹⩛154200=↹⩛-1044","layer":0}]}
{"id":764,"expression_no_base_symbol":"$8544$⊉↱≁$4878$⊦⊿","expression":"↹⩛103320⊉↱≁↹⩛34330⊦⊿","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":31,"operation_count":2,"complexity_ratio":15.5,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":8544,"base":6},"right_expr":{"type":"numeric_atoms","value":4878,"base":6}}},"used_operators":["14qkJME0vr","w2P8NbNXyL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"↹⩛-3335451","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8544","layer":2},{"info":"number node, value=4878","layer":2},{"info":"compute binary expreesion, left_input=8544, right_input=4878, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=56120","layer":1},{"info":"compute unary expreesion, input=56120, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-168439","layer":0}],"base":6,"result_base":6,"text":"↹⩛103320⊉↱≁↹⩛34330⊦⊿=↹⩛-3335451","reverse_text":"↹⩛-3335451=↹⩛103320⊉↱≁↹⩛34330⊦⊿","cot":[{"info":"↹⩛103320⊉↱≁↹⩛34330=↹⩛1111452","layer":1},{"info":"↹⩛1111452⊦⊿=↹⩛-3335451","layer":0}]}
{"id":765,"expression_no_base_symbol":"-$6342$⨥⫆$1881$","expression":"-↹⩛45210⨥⫆↹⩛12413","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16,"operation_count":2,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":6342,"base":6},"right_expr":{"type":"numeric_atoms","value":1881,"base":6}}},"used_operators":["t8gj7n24qd","yXekIHxTD4"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"↹⩛-24502","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6342","layer":2},{"info":"number node, value=1881","layer":2},{"info":"compute binary expreesion, left_input=6342, right_input=1881, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=3638","layer":1},{"info":"compute unary expreesion, input=3638, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3638","layer":0}],"base":6,"result_base":6,"text":"-↹⩛45210⨥⫆↹⩛12413=↹⩛-24502","reverse_text":"↹⩛-24502=-↹⩛45210⨥⫆↹⩛12413","cot":[{"info":"↹⩛45210⨥⫆↹⩛12413=↹⩛24502","layer":1},{"info":"-↹⩛24502=↹⩛-24502","layer":0}]}
{"id":766,"expression_no_base_symbol":"$6219$⪄$9280$↸$2240$⇄$1804$","expression":"↹⩛44443⪄↹⩛110544↸↹⩛14212⇄↹⩛12204","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":104,"operation_count":3,"complexity_ratio":34.666666666666664,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6219,"base":6},"right_expr":{"type":"numeric_atoms","value":9280,"base":6}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":2240,"base":6},"right_expr":{"type":"numeric_atoms","value":1804,"base":6}}},"used_operators":["1eCjFl0mb9","SUmda5xLS4","3EYGwJThht"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"↹⩛-32234525","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6219","layer":2},{"info":"number node, value=9280","layer":2},{"info":"compute binary expreesion, left_input=6219, right_input=9280, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-953621","layer":1},{"info":"number node, value=2240","layer":2},{"info":"number node, value=1804","layer":2},{"info":"compute binary expreesion, left_input=2240, right_input=1804, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-953621, right_input=0, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-953621","layer":0}],"base":6,"result_base":6,"text":"↹⩛44443⪄↹⩛110544↸↹⩛14212⇄↹⩛12204=↹⩛-32234525","reverse_text":"↹⩛-32234525=↹⩛44443⪄↹⩛110544↸↹⩛14212⇄↹⩛12204","cot":[{"info":"↹⩛44443⪄↹⩛110544=↹⩛-32234525","layer":1},{"info":"↹⩛14212⇄↹⩛12204=↹⩛0","layer":1},{"info":"↹⩛-32234525↸↹⩛0=↹⩛-32234525","layer":0}]}
{"id":767,"expression_no_base_symbol":"($1229$⊔$2872$)⊬⨰$1430$∳⫺$4739$","expression":"(↹⩛5405⊔↹⩛21144)⊬⨰↹⩛10342∳⫺↹⩛33535","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":65,"operation_count":3,"complexity_ratio":21.666666666666668,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1229,"base":6},"right_expr":{"type":"numeric_atoms","value":2872,"base":6}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1430,"base":6},"right_expr":{"type":"numeric_atoms","value":4739,"base":6}}},"used_operators":["s3Fd5m9Dh2","E4l6HwMY31","AzXXKTstlj"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"↹⩛-10330","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1229","layer":2},{"info":"number node, value=2872","layer":2},{"info":"compute binary expreesion, left_input=1229, right_input=2872, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=14418","layer":1},{"info":"number node, value=1430","layer":2},{"info":"number node, value=4739","layer":2},{"info":"compute binary expreesion, left_input=1430, right_input=4739, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-3696","layer":1},{"info":"compute binary expreesion, left_input=14418, right_input=-3696, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-1422","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5405⊔↹⩛21144)⊬⨰↹⩛10342∳⫺↹⩛33535=↹⩛-10330","reverse_text":"↹⩛-10330=(↹⩛5405⊔↹⩛21144)⊬⨰↹⩛10342∳⫺↹⩛33535","cot":[{"info":"↹⩛5405⊔↹⩛21144=↹⩛150430","layer":1},{"info":"↹⩛10342∳⫺↹⩛33535=↹⩛-25040","layer":1},{"info":"↹⩛150430⊬⨰↹⩛-25040=↹⩛-10330","layer":0}]}
{"id":768,"expression_no_base_symbol":"≯($5042$∝$1009$)","expression":"≯(↹⩛35202∝↹⩛4401)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":18,"operation_count":2,"complexity_ratio":9.0,"tree":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":5042,"base":6},"right_expr":{"type":"numeric_atoms","value":1009,"base":6}}},"used_operators":["keWfFq85dY","cTDWOvIxvz"],"dependent_operators":["g55IO6H4Gj","JLbD19bQDL","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5042","layer":2},{"info":"number node, value=1009","layer":2},{"info":"compute binary expreesion, left_input=5042, right_input=1009, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=5047","layer":1},{"info":"compute unary expreesion, input=5047, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":0}],"base":6,"result_base":6,"text":"≯(↹⩛35202∝↹⩛4401)=↹⩛0","reverse_text":"↹⩛0=≯(↹⩛35202∝↹⩛4401)","cot":[{"info":"↹⩛35202∝↹⩛4401=↹⩛35211","layer":1},{"info":"≯↹⩛35211=↹⩛0","layer":0}]}
{"id":769,"expression_no_base_symbol":"$1098$⩚⊴⇥$3864$-$2064$≀⩗∶$2999$","expression":"↹⩛5030⩚⊴⇥↹⩛25520-↹⩛13320≀⩗∶↹⩛21515","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":17,"operation_count":3,"complexity_ratio":5.666666666666667,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1098,"base":6},"right_expr":{"type":"numeric_atoms","value":3864,"base":6}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":2064,"base":6},"right_expr":{"type":"numeric_atoms","value":2999,"base":6}}},"used_operators":["rysDP5nf3Z","NTOWxs364D","8INZBEW696"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"↹⩛-35304","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1098","layer":2},{"info":"number node, value=3864","layer":2},{"info":"compute binary expreesion, left_input=1098, right_input=3864, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5083","layer":1},{"info":"number node, value=2064","layer":2},{"info":"number node, value=2999","layer":2},{"info":"compute binary expreesion, left_input=2064, right_input=2999, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":1},{"info":"compute binary expreesion, left_input=-5083, right_input=-3, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5080","layer":0}],"base":6,"result_base":6,"text":"↹⩛5030⩚⊴⇥↹⩛25520-↹⩛13320≀⩗∶↹⩛21515=↹⩛-35304","reverse_text":"↹⩛-35304=↹⩛5030⩚⊴⇥↹⩛25520-↹⩛13320≀⩗∶↹⩛21515","cot":[{"info":"↹⩛5030⩚⊴⇥↹⩛25520=↹⩛-35311","layer":1},{"info":"↹⩛13320≀⩗∶↹⩛21515=↹⩛-3","layer":1},{"info":"↹⩛-35311-↹⩛-3=↹⩛-35304","layer":0}]}
{"id":770,"expression_no_base_symbol":"(⫓⪴$1012$)∌↝$4207$⊮⊟↴$3709$","expression":"(⫓⪴↹⩛4404)∌↝↹⩛31251⊮⊟↴↹⩛25101","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1071,"operation_count":3,"complexity_ratio":357.0,"tree":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1012,"base":6}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":4207,"base":6},"right_expr":{"type":"numeric_atoms","value":3709,"base":6}}},"used_operators":["9Isq31Ruls","eLxqMNBOBk","QDVgd2eftb"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","9HNa5Wba9A","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1012","layer":2},{"info":"compute unary expreesion, input=1012, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1024144","layer":1},{"info":"number node, value=4207","layer":2},{"info":"number node, value=3709","layer":2},{"info":"compute binary expreesion, left_input=4207, right_input=3709, 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=1024144, right_input=0, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"(⫓⪴↹⩛4404)∌↝↹⩛31251⊮⊟↴↹⩛25101=↹⩛0","reverse_text":"↹⩛0=(⫓⪴↹⩛4404)∌↝↹⩛31251⊮⊟↴↹⩛25101","cot":[{"info":"⫓⪴↹⩛4404=↹⩛33541224","layer":1},{"info":"↹⩛31251⊮⊟↴↹⩛25101=↹⩛0","layer":1},{"info":"↹⩛33541224∌↝↹⩛0=↹⩛0","layer":0}]}
{"id":771,"expression_no_base_symbol":"(⨦⪝$3113$)→⨶⪴$3147$∋$4927$","expression":"(⨦⪝↹⩛22225)→⨶⪴↹⩛22323∋↹⩛34451","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":144,"operation_count":3,"complexity_ratio":48.0,"tree":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":3113,"base":6}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":3147,"base":6},"right_expr":{"type":"numeric_atoms","value":4927,"base":6}}},"used_operators":["bF6eod5Gvf","SUjycxNXIR","ukq6epAj5P"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"↹⩛-3023255300","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3113","layer":2},{"info":"compute unary expreesion, input=3113, 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=3147","layer":2},{"info":"number node, value=4927","layer":2},{"info":"compute binary expreesion, left_input=3147, right_input=4927, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=10318716","layer":1},{"info":"compute binary expreesion, left_input=-1884, right_input=10318716, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-30956148","layer":0}],"base":6,"result_base":6,"text":"(⨦⪝↹⩛22225)→⨶⪴↹⩛22323∋↹⩛34451=↹⩛-3023255300","reverse_text":"↹⩛-3023255300=(⨦⪝↹⩛22225)→⨶⪴↹⩛22323∋↹⩛34451","cot":[{"info":"⨦⪝↹⩛22225=↹⩛-12420","layer":1},{"info":"↹⩛22323∋↹⩛34451=↹⩛1005055500","layer":1},{"info":"↹⩛-12420→⨶⪴↹⩛1005055500=↹⩛-3023255300","layer":0}]}
{"id":772,"expression_no_base_symbol":"($1007$∛≔)⫦⪉(⊀$1454$)","expression":"(↹⩛4355∛≔)⫦⪉(⊀↹⩛10422)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1443,"operation_count":3,"complexity_ratio":481.0,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":1007,"base":6}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1454,"base":6}}},"used_operators":["wscyQdcy20","mGnSCrte3L","oPMjh9089D"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q"],"result":"↹⩛21100300","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1007","layer":2},{"info":"compute unary expreesion, input=1007, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":1},{"info":"number node, value=1454","layer":2},{"info":"compute unary expreesion, input=1454, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=5554","layer":1},{"info":"compute binary expreesion, left_input=-305287, right_input=5554, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=614412","layer":0}],"base":6,"result_base":6,"text":"(↹⩛4355∛≔)⫦⪉(⊀↹⩛10422)=↹⩛21100300","reverse_text":"↹⩛21100300=(↹⩛4355∛≔)⫦⪉(⊀↹⩛10422)","cot":[{"info":"↹⩛4355∛≔=↹⩛-10313211","layer":1},{"info":"⊀↹⩛10422=↹⩛41414","layer":1},{"info":"↹⩛-10313211⫦⪉↹⩛41414=↹⩛21100300","layer":0}]}
{"id":773,"expression_no_base_symbol":"$2206$⪔⊥$2341$⇣⩺⋵$1691$⫘$2778$","expression":"↹⩛14114⪔⊥↹⩛14501⇣⩺⋵↹⩛11455⫘↹⩛20510","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1966,"operation_count":3,"complexity_ratio":655.3333333333334,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2206,"base":6},"right_expr":{"type":"numeric_atoms","value":2341,"base":6}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1691,"base":6},"right_expr":{"type":"numeric_atoms","value":2778,"base":6}}},"used_operators":["F4yD0voBRQ","HJ9erzHUuu","48vC8HMD2b"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"↹⩛-221032332","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2206","layer":2},{"info":"number node, value=2341","layer":2},{"info":"compute binary expreesion, left_input=2206, right_input=2341, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=3943","layer":1},{"info":"number node, value=1691","layer":2},{"info":"number node, value=2778","layer":2},{"info":"compute binary expreesion, left_input=1691, right_input=2778, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1993021","layer":1},{"info":"compute binary expreesion, left_input=3943, right_input=1993021, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-3970208","layer":0}],"base":6,"result_base":6,"text":"↹⩛14114⪔⊥↹⩛14501⇣⩺⋵↹⩛11455⫘↹⩛20510=↹⩛-221032332","reverse_text":"↹⩛-221032332=↹⩛14114⪔⊥↹⩛14501⇣⩺⋵↹⩛11455⫘↹⩛20510","cot":[{"info":"↹⩛14114⪔⊥↹⩛14501=↹⩛30131","layer":1},{"info":"↹⩛11455⫘↹⩛20510=↹⩛110414541","layer":1},{"info":"↹⩛30131⇣⩺⋵↹⩛110414541=↹⩛-221032332","layer":0}]}
{"id":774,"expression_no_base_symbol":"$7220$⪔⊥$1380$⫁⪎(↑$2662$)","expression":"↹⩛53232⪔⊥↹⩛10220⫁⪎(↑↹⩛20154)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":72,"operation_count":3,"complexity_ratio":24.0,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":7220,"base":6},"right_expr":{"type":"numeric_atoms","value":1380,"base":6}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":2662,"base":6}}},"used_operators":["xRrnTEsQ6j","HJ9erzHUuu","tR7O2zTn5j"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx"],"result":"↹⩛315041","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7220","layer":2},{"info":"number node, value=1380","layer":2},{"info":"compute binary expreesion, left_input=7220, right_input=1380, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=25921","layer":1},{"info":"number node, value=2662","layer":2},{"info":"compute unary expreesion, input=2662, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":1},{"info":"compute binary expreesion, left_input=25921, right_input=192, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=25729","layer":0}],"base":6,"result_base":6,"text":"↹⩛53232⪔⊥↹⩛10220⫁⪎(↑↹⩛20154)=↹⩛315041","reverse_text":"↹⩛315041=↹⩛53232⪔⊥↹⩛10220⫁⪎(↑↹⩛20154)","cot":[{"info":"↹⩛53232⪔⊥↹⩛10220=↹⩛320001","layer":1},{"info":"↑↹⩛20154=↹⩛520","layer":1},{"info":"↹⩛320001⫁⪎↹⩛520=↹⩛315041","layer":0}]}
{"id":775,"expression_no_base_symbol":"⊁⨺($3317$⫽⇹≛)","expression":"⊁⨺(↹⩛23205⫽⇹≛)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":38,"operation_count":2,"complexity_ratio":19.0,"tree":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"numeric_atoms","value":3317,"base":6}}},"used_operators":["PxiHyQbrIp","NNaDxxp6OQ"],"dependent_operators":["rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3317","layer":2},{"info":"compute unary expreesion, input=3317, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":1},{"info":"compute unary expreesion, input=272, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":0}],"base":6,"result_base":6,"text":"⊁⨺(↹⩛23205⫽⇹≛)=↹⩛424","reverse_text":"↹⩛424=⊁⨺(↹⩛23205⫽⇹≛)","cot":[{"info":"↹⩛23205⫽⇹≛=↹⩛1132","layer":1},{"info":"⊁⨺↹⩛1132=↹⩛424","layer":0}]}
{"id":776,"expression_no_base_symbol":"$1699$∺≝⩲$3363$⫥∨⫟($2879$∈)","expression":"↹⩛11511∺≝⩲↹⩛23323⫥∨⫟(↹⩛21155∈)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":178,"operation_count":3,"complexity_ratio":59.333333333333336,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1699,"base":6},"right_expr":{"type":"numeric_atoms","value":3363,"base":6}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":2879,"base":6}}},"used_operators":["KYD54nUTWz","KPf6cnQVty","ztP7wcbY7m"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1699","layer":2},{"info":"number node, value=3363","layer":2},{"info":"compute binary expreesion, left_input=1699, right_input=3363, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"number node, value=2879","layer":2},{"info":"compute unary expreesion, input=2879, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=7966","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=7966, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛11511∺≝⩲↹⩛23323⫥∨⫟(↹⩛21155∈)=NaN","reverse_text":"NaN=↹⩛11511∺≝⩲↹⩛23323⫥∨⫟(↹⩛21155∈)","cot":[{"info":"↹⩛11511∺≝⩲↹⩛23323=↹⩛424","layer":1},{"info":"↹⩛21155∈=↹⩛100514","layer":1},{"info":"↹⩛424⫥∨⫟↹⩛100514=NaN","layer":0}]}
{"id":777,"expression_no_base_symbol":"$2589$⨑⩅≇$1063$∕⩚($1210$⫡⨏$3712$)","expression":"↹⩛15553⨑⩅≇↹⩛4531∕⩚(↹⩛5334⫡⨏↹⩛25104)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8904,"operation_count":3,"complexity_ratio":2968.0,"tree":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":2589,"base":6},"right_expr":{"type":"numeric_atoms","value":1063,"base":6}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1210,"base":6},"right_expr":{"type":"numeric_atoms","value":3712,"base":6}}},"used_operators":["z9ffQ9n5Zr","h92wMvzauj","QMFrweE19q"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛-55550","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2589","layer":2},{"info":"number node, value=1063","layer":2},{"info":"compute binary expreesion, left_input=2589, right_input=1063, 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=-7767","layer":1},{"info":"number node, value=1210","layer":2},{"info":"number node, value=3712","layer":2},{"info":"compute binary expreesion, left_input=1210, right_input=3712, 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=14257","layer":1},{"info":"compute binary expreesion, left_input=-7767, right_input=14257, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-7770","layer":0}],"base":6,"result_base":6,"text":"↹⩛15553⨑⩅≇↹⩛4531∕⩚(↹⩛5334⫡⨏↹⩛25104)=↹⩛-55550","reverse_text":"↹⩛-55550=↹⩛15553⨑⩅≇↹⩛4531∕⩚(↹⩛5334⫡⨏↹⩛25104)","cot":[{"info":"↹⩛15553⨑⩅≇↹⩛4531=↹⩛-55543","layer":1},{"info":"↹⩛5334⫡⨏↹⩛25104=↹⩛150001","layer":1},{"info":"↹⩛-55543∕⩚↹⩛150001=↹⩛-55550","layer":0}]}
{"id":778,"expression_no_base_symbol":"($1676$∥⊢⊲$5402$)⇤($1002$∽$8686$)","expression":"(↹⩛11432∥⊢⊲↹⩛41002)⇤(↹⩛4350∽↹⩛104114)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":36,"operation_count":3,"complexity_ratio":12.0,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1676,"base":6},"right_expr":{"type":"numeric_atoms","value":5402,"base":6}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1002,"base":6},"right_expr":{"type":"numeric_atoms","value":8686,"base":6}}},"used_operators":["YSKBFp38Pu","v1UQAVDJRr","y4ImoPnbV5"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","EBcxylXtPf","rGHVDoGpnC","NTOWxs364D","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1676","layer":2},{"info":"number node, value=5402","layer":2},{"info":"compute binary expreesion, left_input=1676, right_input=5402, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"number node, value=1002","layer":2},{"info":"number node, value=8686","layer":2},{"info":"compute binary expreesion, left_input=1002, right_input=8686, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-30890","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-30890, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛11432∥⊢⊲↹⩛41002)⇤(↹⩛4350∽↹⩛104114)=NaN","reverse_text":"NaN=(↹⩛11432∥⊢⊲↹⩛41002)⇤(↹⩛4350∽↹⩛104114)","cot":[{"info":"↹⩛11432∥⊢⊲↹⩛41002=NaN","layer":1},{"info":"↹⩛4350∽↹⩛104114=↹⩛-355002","layer":1},{"info":"NaN⇤↹⩛-355002=NaN","layer":0}]}
{"id":779,"expression_no_base_symbol":"$4173$⩇∃⫛$2900$≥⨤⩑$1014$⩣⫁∢$2774$","expression":"↹⩛31153⩇∃⫛↹⩛21232≥⨤⩑↹⩛4410⩣⫁∢↹⩛20502","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26198,"operation_count":3,"complexity_ratio":8732.666666666666,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":4173,"base":6},"right_expr":{"type":"numeric_atoms","value":2900,"base":6}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1014,"base":6},"right_expr":{"type":"numeric_atoms","value":2774,"base":6}}},"used_operators":["gJLn6v0xnP","1aApVXNlOP","JDUIKTTSIa"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4173","layer":2},{"info":"number node, value=2900","layer":2},{"info":"compute binary expreesion, left_input=4173, right_input=2900, 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=-800","layer":1},{"info":"number node, value=1014","layer":2},{"info":"number node, value=2774","layer":2},{"info":"compute binary expreesion, left_input=1014, right_input=2774, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-1867","layer":1},{"info":"compute binary expreesion, left_input=-800, right_input=-1867, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛31153⩇∃⫛↹⩛21232≥⨤⩑↹⩛4410⩣⫁∢↹⩛20502=NaN","reverse_text":"NaN=↹⩛31153⩇∃⫛↹⩛21232≥⨤⩑↹⩛4410⩣⫁∢↹⩛20502","cot":[{"info":"↹⩛31153⩇∃⫛↹⩛21232=↹⩛-3412","layer":1},{"info":"↹⩛4410⩣⫁∢↹⩛20502=↹⩛-12351","layer":1},{"info":"↹⩛-3412≥⨤⩑↹⩛-12351=NaN","layer":0}]}
{"id":780,"expression_no_base_symbol":"(⪹$1173$)/$1578$⊱⇼⊻$1335$","expression":"(⪹↹⩛5233)/↹⩛11150⊱⇼⊻↹⩛10103","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1173,"base":6}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1578,"base":6},"right_expr":{"type":"numeric_atoms","value":1335,"base":6}}},"used_operators":["XhwjNDsVaA","USyYr0JgAa","FyVja0WsTP"],"dependent_operators":["rysDP5nf3Z","tifHPKVTfV","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"↹⩛-3","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1173","layer":2},{"info":"compute unary expreesion, input=1173, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-993","layer":1},{"info":"number node, value=1578","layer":2},{"info":"number node, value=1335","layer":2},{"info":"compute binary expreesion, left_input=1578, right_input=1335, 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=-993, right_input=434, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-3","layer":0}],"base":6,"result_base":6,"text":"(⪹↹⩛5233)/↹⩛11150⊱⇼⊻↹⩛10103=↹⩛-3","reverse_text":"↹⩛-3=(⪹↹⩛5233)/↹⩛11150⊱⇼⊻↹⩛10103","cot":[{"info":"⪹↹⩛5233=↹⩛-4333","layer":1},{"info":"↹⩛11150⊱⇼⊻↹⩛10103=↹⩛2002","layer":1},{"info":"↹⩛-4333/↹⩛2002=↹⩛-3","layer":0}]}
{"id":781,"expression_no_base_symbol":"($6374$∛$3999$)⪝($1087$↙$1629$)","expression":"(↹⩛45302∛↹⩛30303)⪝(↹⩛5011↙↹⩛11313)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2149,"operation_count":3,"complexity_ratio":716.3333333333334,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":6374,"base":6},"right_expr":{"type":"numeric_atoms","value":3999,"base":6}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1087,"base":6},"right_expr":{"type":"numeric_atoms","value":1629,"base":6}}},"used_operators":["wicAB68Tmb","w2537kitQq","yyfyN0ffXY"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","tmPS8pqC7x","DpFCA1CohY"],"result":"↹⩛-211535","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6374","layer":2},{"info":"number node, value=3999","layer":2},{"info":"compute binary expreesion, left_input=6374, right_input=3999, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":1},{"info":"number node, value=1087","layer":2},{"info":"number node, value=1629","layer":2},{"info":"compute binary expreesion, left_input=1087, right_input=1629, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4887","layer":1},{"info":"compute binary expreesion, left_input=-670, right_input=-4887, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-17267","layer":0}],"base":6,"result_base":6,"text":"(↹⩛45302∛↹⩛30303)⪝(↹⩛5011↙↹⩛11313)=↹⩛-211535","reverse_text":"↹⩛-211535=(↹⩛45302∛↹⩛30303)⪝(↹⩛5011↙↹⩛11313)","cot":[{"info":"↹⩛45302∛↹⩛30303=↹⩛-3034","layer":1},{"info":"↹⩛5011↙↹⩛11313=↹⩛-34343","layer":1},{"info":"↹⩛-3034⪝↹⩛-34343=↹⩛-211535","layer":0}]}
{"id":782,"expression_no_base_symbol":"(⋃$1515$)⫥∨⫟$4115$⪘⫢$1057$","expression":"(⋃↹⩛11003)⫥∨⫟↹⩛31015⪘⫢↹⩛4521","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":172,"operation_count":3,"complexity_ratio":57.333333333333336,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":1515,"base":6}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4115,"base":6},"right_expr":{"type":"numeric_atoms","value":1057,"base":6}}},"used_operators":["KYD54nUTWz","3mBM5G4a3l","oacrs7FA3X"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","g55IO6H4Gj","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1515","layer":2},{"info":"compute unary expreesion, input=1515, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=3132","layer":1},{"info":"number node, value=4115","layer":2},{"info":"number node, value=1057","layer":2},{"info":"compute binary expreesion, left_input=4115, right_input=1057, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8106","layer":1},{"info":"compute binary expreesion, left_input=3132, right_input=8106, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⋃↹⩛11003)⫥∨⫟↹⩛31015⪘⫢↹⩛4521=NaN","reverse_text":"NaN=(⋃↹⩛11003)⫥∨⫟↹⩛31015⪘⫢↹⩛4521","cot":[{"info":"⋃↹⩛11003=↹⩛22300","layer":1},{"info":"↹⩛31015⪘⫢↹⩛4521=↹⩛101310","layer":1},{"info":"↹⩛22300⫥∨⫟↹⩛101310=NaN","layer":0}]}
{"id":783,"expression_no_base_symbol":"($1035$∪⫐$4317$)∠⫱(≔$1116$)","expression":"(↹⩛4443∪⫐↹⩛31553)∠⫱(≔↹⩛5100)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":42,"operation_count":3,"complexity_ratio":14.0,"tree":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1035,"base":6},"right_expr":{"type":"numeric_atoms","value":4317,"base":6}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":1116,"base":6}}},"used_operators":["QvoQhV0rrE","7YooWSwCyH","8FLs4eVsLt"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rJVOvQCfKK","2DDjHMKMc0","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk"],"result":"↹⩛355245","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1035","layer":2},{"info":"number node, value=4317","layer":2},{"info":"compute binary expreesion, left_input=1035, right_input=4317, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1035","layer":1},{"info":"number node, value=1116","layer":2},{"info":"compute unary expreesion, input=1116, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-29954","layer":1},{"info":"compute binary expreesion, left_input=1035, right_input=-29954, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=30989","layer":0}],"base":6,"result_base":6,"text":"(↹⩛4443∪⫐↹⩛31553)∠⫱(≔↹⩛5100)=↹⩛355245","reverse_text":"↹⩛355245=(↹⩛4443∪⫐↹⩛31553)∠⫱(≔↹⩛5100)","cot":[{"info":"↹⩛4443∪⫐↹⩛31553=↹⩛4443","layer":1},{"info":"≔↹⩛5100=↹⩛-350402","layer":1},{"info":"↹⩛4443∠⫱↹⩛-350402=↹⩛355245","layer":0}]}
{"id":784,"expression_no_base_symbol":"($3097$⪓⨏)⪛⫼$4677$⊋≦⊧$2517$","expression":"(↹⩛22201⪓⨏)⪛⫼↹⩛33353⊋≦⊧↹⩛15353","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3352,"operation_count":3,"complexity_ratio":1117.3333333333333,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"numeric_atoms","value":3097,"base":6}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":4677,"base":6},"right_expr":{"type":"numeric_atoms","value":2517,"base":6}}},"used_operators":["hyuBjUqXlG","4X9JU4Jbn6","oRDoc9rAEX"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3097","layer":2},{"info":"compute unary expreesion, input=3097, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":1},{"info":"number node, value=4677","layer":2},{"info":"number node, value=2517","layer":2},{"info":"compute binary expreesion, left_input=4677, right_input=2517, 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=-4794","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4794, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛22201⪓⨏)⪛⫼↹⩛33353⊋≦⊧↹⩛15353=NaN","reverse_text":"NaN=(↹⩛22201⪓⨏)⪛⫼↹⩛33353⊋≦⊧↹⩛15353","cot":[{"info":"↹⩛22201⪓⨏=NaN","layer":1},{"info":"↹⩛33353⊋≦⊧↹⩛15353=↹⩛-34110","layer":1},{"info":"NaN⪛⫼↹⩛-34110=NaN","layer":0}]}
{"id":785,"expression_no_base_symbol":"(⊿$5939$)⫚↹⊑$3500$≴⪞⇿$4964$","expression":"(⊿↹⩛43255)⫚↹⊑↹⩛24112≴⪞⇿↹⩛34552","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3300,"operation_count":3,"complexity_ratio":1100.0,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":5939,"base":6}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":3500,"base":6},"right_expr":{"type":"numeric_atoms","value":4964,"base":6}}},"used_operators":["dfKe02y8D2","DO4fhlbJSI","lvlrscuwVU"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"↹⩛-2023","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5939","layer":2},{"info":"compute unary expreesion, input=5939, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-24494","layer":1},{"info":"number node, value=3500","layer":2},{"info":"number node, value=4964","layer":2},{"info":"compute binary expreesion, left_input=3500, right_input=4964, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=20827292","layer":1},{"info":"compute binary expreesion, left_input=-24494, right_input=20827292, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":6,"result_base":6,"text":"(⊿↹⩛43255)⫚↹⊑↹⩛24112≴⪞⇿↹⩛34552=↹⩛-2023","reverse_text":"↹⩛-2023=(⊿↹⩛43255)⫚↹⊑↹⩛24112≴⪞⇿↹⩛34552","cot":[{"info":"⊿↹⩛43255=↹⩛-305222","layer":1},{"info":"↹⩛24112≴⪞⇿↹⩛34552=↹⩛2022222352","layer":1},{"info":"↹⩛-305222⫚↹⊑↹⩛2022222352=↹⩛-2023","layer":0}]}
{"id":786,"expression_no_base_symbol":"$2781$⋥⋵⩄$2190$∧","expression":"↹⩛20513⋥⋵⩄↹⩛14050∧","highest_n_order":5,"priority_hierarchical_complexity":1,"normalized_expansion_degree":30,"operation_count":2,"complexity_ratio":15.0,"tree":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":2781,"base":6},"right_expr":{"type":"numeric_atoms","value":2190,"base":6}}},"used_operators":["z63VuFQld9","7t3wd0Fuz7"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2781","layer":2},{"info":"number node, value=2190","layer":2},{"info":"compute binary expreesion, left_input=2781, right_input=2190, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":1},{"info":"compute unary expreesion, input=113, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛20513⋥⋵⩄↹⩛14050∧=NaN","reverse_text":"NaN=↹⩛20513⋥⋵⩄↹⩛14050∧","cot":[{"info":"↹⩛20513⋥⋵⩄↹⩛14050=↹⩛305","layer":1},{"info":"↹⩛305∧=NaN","layer":0}]}
{"id":787,"expression_no_base_symbol":"($1523$⋳⪒$7200$)⫭","expression":"(↹⩛11015⋳⪒↹⩛53200)⫭","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":18,"operation_count":2,"complexity_ratio":9.0,"tree":{"type":"unary","operator":"⫭","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1523,"base":6},"right_expr":{"type":"numeric_atoms","value":7200,"base":6}}},"used_operators":["t4WUHVGj7f","12rbrZMWeM"],"dependent_operators":["NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛-140322","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1523","layer":2},{"info":"number node, value=7200","layer":2},{"info":"compute binary expreesion, left_input=1523, right_input=7200, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4441","layer":1},{"info":"compute unary expreesion, input=-4441, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=-13082","layer":0}],"base":6,"result_base":6,"text":"(↹⩛11015⋳⪒↹⩛53200)⫭=↹⩛-140322","reverse_text":"↹⩛-140322=(↹⩛11015⋳⪒↹⩛53200)⫭","cot":[{"info":"↹⩛11015⋳⪒↹⩛53200=↹⩛-32321","layer":1},{"info":"↹⩛-32321⫭=↹⩛-140322","layer":0}]}
{"id":788,"expression_no_base_symbol":"$7792$≦↸$1560$⇣⩺⋵(≸≮$7674$)","expression":"↹⩛100024≦↸↹⩛11120⇣⩺⋵(≸≮↹⩛55310)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11658,"operation_count":3,"complexity_ratio":3886.0,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":7792,"base":6},"right_expr":{"type":"numeric_atoms","value":1560,"base":6}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":7674,"base":6}}},"used_operators":["F4yD0voBRQ","RygbFNSyEJ","AljMvE3RRm"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb"],"result":"↹⩛-1112","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7792","layer":2},{"info":"number node, value=1560","layer":2},{"info":"compute binary expreesion, left_input=7792, right_input=1560, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-18023","layer":1},{"info":"number node, value=7674","layer":2},{"info":"compute unary expreesion, input=7674, 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 binary expreesion, left_input=-18023, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":6,"result_base":6,"text":"↹⩛100024≦↸↹⩛11120⇣⩺⋵(≸≮↹⩛55310)=↹⩛-1112","reverse_text":"↹⩛-1112=↹⩛100024≦↸↹⩛11120⇣⩺⋵(≸≮↹⩛55310)","cot":[{"info":"↹⩛100024≦↸↹⩛11120=↹⩛-215235","layer":1},{"info":"≸≮↹⩛55310=NaN","layer":1},{"info":"↹⩛-215235⇣⩺⋵NaN=↹⩛-1112","layer":0}]}
{"id":789,"expression_no_base_symbol":"$1165$⫸⇳$1880$⊓⋫","expression":"↹⩛5221⫸⇳↹⩛12412⊓⋫","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":34,"operation_count":2,"complexity_ratio":17.0,"tree":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1165,"base":6},"right_expr":{"type":"numeric_atoms","value":1880,"base":6}}},"used_operators":["IqGBaFP0uj","gx7XJ7hdpj"],"dependent_operators":["2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"↹⩛-332","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1165","layer":2},{"info":"number node, value=1880","layer":2},{"info":"compute binary expreesion, left_input=1165, right_input=1880, 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 = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-128","layer":0}],"base":6,"result_base":6,"text":"↹⩛5221⫸⇳↹⩛12412⊓⋫=↹⩛-332","reverse_text":"↹⩛-332=↹⩛5221⫸⇳↹⩛12412⊓⋫","cot":[{"info":"↹⩛5221⫸⇳↹⩛12412=↹⩛0","layer":1},{"info":"↹⩛0⊓⋫=↹⩛-332","layer":0}]}
{"id":790,"expression_no_base_symbol":"(∐⩳⋚$3605$)⨵⪆$6058$⨼⩣$4390$","expression":"(∐⩳⋚↹⩛24405)⨵⪆↹⩛44014⨼⩣↹⩛32154","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":555,"operation_count":3,"complexity_ratio":185.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":3605,"base":6}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":6058,"base":6},"right_expr":{"type":"numeric_atoms","value":4390,"base":6}}},"used_operators":["2DQ55sFlQl","SL6IHkK8vl","JxwMv5le6e"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3605","layer":2},{"info":"compute unary expreesion, input=3605, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=525972","layer":1},{"info":"number node, value=6058","layer":2},{"info":"number node, value=4390","layer":2},{"info":"compute binary expreesion, left_input=6058, right_input=4390, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=525972, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":6,"result_base":6,"text":"(∐⩳⋚↹⩛24405)⨵⪆↹⩛44014⨼⩣↹⩛32154=↹⩛424","reverse_text":"↹⩛424=(∐⩳⋚↹⩛24405)⨵⪆↹⩛44014⨼⩣↹⩛32154","cot":[{"info":"∐⩳⋚↹⩛24405=↹⩛15135020","layer":1},{"info":"↹⩛44014⨼⩣↹⩛32154=NaN","layer":1},{"info":"↹⩛15135020⨵⪆NaN=↹⩛424","layer":0}]}
{"id":791,"expression_no_base_symbol":"($1138$∛≔)⪡($2924$⩨$2416$)","expression":"(↹⩛5134∛≔)⪡(↹⩛21312⩨↹⩛15104)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1543,"operation_count":3,"complexity_ratio":514.3333333333334,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":1138,"base":6}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2924,"base":6},"right_expr":{"type":"numeric_atoms","value":2416,"base":6}}},"used_operators":["oraRL2iQuh","mGnSCrte3L","2DlMacCsIx"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"↹⩛21035114","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1138","layer":2},{"info":"compute unary expreesion, input=1138, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":1},{"info":"number node, value=2924","layer":2},{"info":"number node, value=2416","layer":2},{"info":"compute binary expreesion, left_input=2924, right_input=2416, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-305287, right_input=0, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=611542","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5134∛≔)⪡(↹⩛21312⩨↹⩛15104)=↹⩛21035114","reverse_text":"↹⩛21035114=(↹⩛5134∛≔)⪡(↹⩛21312⩨↹⩛15104)","cot":[{"info":"↹⩛5134∛≔=↹⩛-10313211","layer":1},{"info":"↹⩛21312⩨↹⩛15104=↹⩛0","layer":1},{"info":"↹⩛-10313211⪡↹⩛0=↹⩛21035114","layer":0}]}
{"id":792,"expression_no_base_symbol":"$2143$⪇≇⋚$3417$↺$1392$≁↽≥$3151$","expression":"↹⩛13531⪇≇⋚↹⩛23453↺↹⩛10240≁↽≥↹⩛22331","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34,"operation_count":3,"complexity_ratio":11.333333333333334,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2143,"base":6},"right_expr":{"type":"numeric_atoms","value":3417,"base":6}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1392,"base":6},"right_expr":{"type":"numeric_atoms","value":3151,"base":6}}},"used_operators":["7j4O788W3g","3sJ7IOPOlU","ncHt1X6cMc"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","oWn0xqSxBt","3Oe9XWJUTD"],"result":"↹⩛354352","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2143","layer":2},{"info":"number node, value=3417","layer":2},{"info":"compute binary expreesion, left_input=2143, right_input=3417, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=1392","layer":2},{"info":"number node, value=3151","layer":2},{"info":"compute binary expreesion, left_input=1392, right_input=3151, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=30812","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=30812, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=30812","layer":0}],"base":6,"result_base":6,"text":"↹⩛13531⪇≇⋚↹⩛23453↺↹⩛10240≁↽≥↹⩛22331=↹⩛354352","reverse_text":"↹⩛354352=↹⩛13531⪇≇⋚↹⩛23453↺↹⩛10240≁↽≥↹⩛22331","cot":[{"info":"↹⩛13531⪇≇⋚↹⩛23453=↹⩛0","layer":1},{"info":"↹⩛10240≁↽≥↹⩛22331=↹⩛354352","layer":1},{"info":"↹⩛0↺↹⩛354352=↹⩛354352","layer":0}]}
{"id":793,"expression_no_base_symbol":"↘$2875$→⨶⪴$4030$","expression":"↘↹⩛21151→⨶⪴↹⩛30354","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":36,"operation_count":2,"complexity_ratio":18.0,"tree":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2875,"base":6},"right_expr":{"type":"numeric_atoms","value":4030,"base":6}}},"used_operators":["LdNpr8hQHL","bF6eod5Gvf"],"dependent_operators":["uFcxV4UQCh","8w2t5hMYqp","9FxExcQeMw"],"result":"↹⩛142","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2875","layer":2},{"info":"number node, value=4030","layer":2},{"info":"compute binary expreesion, left_input=2875, right_input=4030, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-12090","layer":1},{"info":"compute unary expreesion, input=-12090, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=62","layer":0}],"base":6,"result_base":6,"text":"↘↹⩛21151→⨶⪴↹⩛30354=↹⩛142","reverse_text":"↹⩛142=↘↹⩛21151→⨶⪴↹⩛30354","cot":[{"info":"↹⩛21151→⨶⪴↹⩛30354=↹⩛-131550","layer":1},{"info":"↘↹⩛-131550=↹⩛142","layer":0}]}
{"id":794,"expression_no_base_symbol":"⊵⊁(↥≼⋛$1064$)","expression":"⊵⊁(↥≼⋛↹⩛4532)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":1064,"base":6}}},"used_operators":["AvED76WdY7","x5lMkHmzsq"],"dependent_operators":["uBihLCJcMX","k8jYdgA6NY","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1064","layer":2},{"info":"compute unary expreesion, input=1064, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":1},{"info":"compute unary expreesion, input=-113, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"⊵⊁(↥≼⋛↹⩛4532)=↹⩛0","reverse_text":"↹⩛0=⊵⊁(↥≼⋛↹⩛4532)","cot":[{"info":"↥≼⋛↹⩛4532=↹⩛-305","layer":1},{"info":"⊵⊁↹⩛-305=↹⩛0","layer":0}]}
{"id":795,"expression_no_base_symbol":"($1165$⪪$2665$)⪃⊛⇣(≅≯⇸$2362$)","expression":"(↹⩛5221⪪↹⩛20201)⪃⊛⇣(≅≯⇸↹⩛14534)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4216,"operation_count":3,"complexity_ratio":1405.3333333333333,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1165,"base":6},"right_expr":{"type":"numeric_atoms","value":2665,"base":6}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":2362,"base":6}}},"used_operators":["rrgAzCduG9","xD69zh8xqp","apS25hmuAe"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","FU0Cs4j7VP","JclMnS0uGI","EBcxylXtPf","QMFrweE19q"],"result":"↹⩛5414","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1165","layer":2},{"info":"number node, value=2665","layer":2},{"info":"compute binary expreesion, left_input=1165, right_input=2665, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-172004","layer":1},{"info":"number node, value=2362","layer":2},{"info":"compute unary expreesion, input=2362, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=17125","layer":1},{"info":"compute binary expreesion, left_input=-172004, right_input=17125, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5221⪪↹⩛20201)⪃⊛⇣(≅≯⇸↹⩛14534)=↹⩛5414","reverse_text":"↹⩛5414=(↹⩛5221⪪↹⩛20201)⪃⊛⇣(≅≯⇸↹⩛14534)","cot":[{"info":"↹⩛5221⪪↹⩛20201=↹⩛-3404152","layer":1},{"info":"≅≯⇸↹⩛14534=↹⩛211141","layer":1},{"info":"↹⩛-3404152⪃⊛⇣↹⩛211141=↹⩛5414","layer":0}]}
{"id":796,"expression_no_base_symbol":"($3128$⇍⊗$3892$)⫞⩸⩒$1978$⨂≜$6368$","expression":"(↹⩛22252⇍⊗↹⩛30004)⫞⩸⩒↹⩛13054⨂≜↹⩛45252","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2052,"operation_count":3,"complexity_ratio":684.0,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":3128,"base":6},"right_expr":{"type":"numeric_atoms","value":3892,"base":6}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1978,"base":6},"right_expr":{"type":"numeric_atoms","value":6368,"base":6}}},"used_operators":["XGcMNugi78","5uvYHDjeKN","k1SHOSEABc"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"↹⩛-1044","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3128","layer":2},{"info":"number node, value=3892","layer":2},{"info":"compute binary expreesion, left_input=3128, right_input=3892, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"number node, value=1978","layer":2},{"info":"number node, value=6368","layer":2},{"info":"compute binary expreesion, left_input=1978, right_input=6368, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-244, 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=-244","layer":0}],"base":6,"result_base":6,"text":"(↹⩛22252⇍⊗↹⩛30004)⫞⩸⩒↹⩛13054⨂≜↹⩛45252=↹⩛-1044","reverse_text":"↹⩛-1044=(↹⩛22252⇍⊗↹⩛30004)⫞⩸⩒↹⩛13054⨂≜↹⩛45252","cot":[{"info":"↹⩛22252⇍⊗↹⩛30004=↹⩛-1044","layer":1},{"info":"↹⩛13054⨂≜↹⩛45252=NaN","layer":1},{"info":"↹⩛-1044⫞⩸⩒NaN=↹⩛-1044","layer":0}]}
{"id":797,"expression_no_base_symbol":"(⇾⩊⇾$3637$)⩼⇪↪($1047$⪮%⊝$1648$)","expression":"(⇾⩊⇾↹⩛24501)⩼⇪↪(↹⩛4503⪮%⊝↹⩛11344)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34,"operation_count":3,"complexity_ratio":11.333333333333334,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":3637,"base":6}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1047,"base":6},"right_expr":{"type":"numeric_atoms","value":1648,"base":6}}},"used_operators":["ocnLzx9CaJ","bx9Z9DAK5y","IWmyXbctLI"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"↹⩛-2020511","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3637","layer":2},{"info":"compute unary expreesion, input=3637, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-39219","layer":1},{"info":"number node, value=1047","layer":2},{"info":"number node, value=1648","layer":2},{"info":"compute binary expreesion, left_input=1047, right_input=1648, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2410","layer":1},{"info":"compute binary expreesion, left_input=-39219, right_input=2410, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-96091","layer":0}],"base":6,"result_base":6,"text":"(⇾⩊⇾↹⩛24501)⩼⇪↪(↹⩛4503⪮%⊝↹⩛11344)=↹⩛-2020511","reverse_text":"↹⩛-2020511=(⇾⩊⇾↹⩛24501)⩼⇪↪(↹⩛4503⪮%⊝↹⩛11344)","cot":[{"info":"⇾⩊⇾↹⩛24501=↹⩛-501323","layer":1},{"info":"↹⩛4503⪮%⊝↹⩛11344=↹⩛15054","layer":1},{"info":"↹⩛-501323⩼⇪↪↹⩛15054=↹⩛-2020511","layer":0}]}
{"id":798,"expression_no_base_symbol":"(⊲⪭$3087$)⫁($1508$∥⊢⊲$5556$)","expression":"(⊲⪭↹⩛22143)⫁(↹⩛10552∥⊢⊲↹⩛41420)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":85,"operation_count":3,"complexity_ratio":28.333333333333332,"tree":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":3087,"base":6}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1508,"base":6},"right_expr":{"type":"numeric_atoms","value":5556,"base":6}}},"used_operators":["0ajvFaJAv0","k7HXdKtiEU","v1UQAVDJRr"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","i8ToyICDmI","xUOZtlo3hN","EBcxylXtPf","rGHVDoGpnC"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3087","layer":2},{"info":"compute unary expreesion, input=3087, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-3261","layer":1},{"info":"number node, value=1508","layer":2},{"info":"number node, value=5556","layer":2},{"info":"compute binary expreesion, left_input=1508, right_input=5556, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3261, right_input=nan, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":6,"result_base":6,"text":"(⊲⪭↹⩛22143)⫁(↹⩛10552∥⊢⊲↹⩛41420)=↹⩛424","reverse_text":"↹⩛424=(⊲⪭↹⩛22143)⫁(↹⩛10552∥⊢⊲↹⩛41420)","cot":[{"info":"⊲⪭↹⩛22143=↹⩛-23033","layer":1},{"info":"↹⩛10552∥⊢⊲↹⩛41420=NaN","layer":1},{"info":"↹⩛-23033⫁NaN=↹⩛424","layer":0}]}
{"id":799,"expression_no_base_symbol":"(⊈$9835$)≒∊(⨴⫝$2488$)","expression":"(⊈↹⩛113311)≒∊(⨴⫝↹⩛15304)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1828,"operation_count":3,"complexity_ratio":609.3333333333334,"tree":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":9835,"base":6}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":2488,"base":6}}},"used_operators":["5KTvxBwnZo","RHru8klgy8","SVb2v531z1"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","12rbrZMWeM","xUOZtlo3hN","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf"],"result":"↹⩛120325","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=9835","layer":2},{"info":"compute unary expreesion, input=9835, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-10009","layer":1},{"info":"number node, value=2488","layer":2},{"info":"compute unary expreesion, input=2488, 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 binary expreesion, left_input=-10009, right_input=2828198, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=10493","layer":0}],"base":6,"result_base":6,"text":"(⊈↹⩛113311)≒∊(⨴⫝↹⩛15304)=↹⩛120325","reverse_text":"↹⩛120325=(⊈↹⩛113311)≒∊(⨴⫝↹⩛15304)","cot":[{"info":"⊈↹⩛113311=↹⩛-114201","layer":1},{"info":"⨴⫝↹⩛15304=↹⩛140341302","layer":1},{"info":"↹⩛-114201≒∊↹⩛140341302=↹⩛120325","layer":0}]}
{"id":800,"expression_no_base_symbol":"⇖⫷⫕($1292$⩚⊴⇥$1592$)","expression":"⇖⫷⫕(↹⩛5552⩚⊴⇥↹⩛11212)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":752,"operation_count":2,"complexity_ratio":376.0,"tree":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1292,"base":6},"right_expr":{"type":"numeric_atoms","value":1592,"base":6}}},"used_operators":["UHmRx3INFg","NTOWxs364D"],"dependent_operators":["DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"↹⩛21022","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1292","layer":2},{"info":"number node, value=1592","layer":2},{"info":"compute binary expreesion, left_input=1292, right_input=1592, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3005","layer":1},{"info":"compute unary expreesion, input=-3005, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":0}],"base":6,"result_base":6,"text":"⇖⫷⫕(↹⩛5552⩚⊴⇥↹⩛11212)=↹⩛21022","reverse_text":"↹⩛21022=⇖⫷⫕(↹⩛5552⩚⊴⇥↹⩛11212)","cot":[{"info":"↹⩛5552⩚⊴⇥↹⩛11212=↹⩛-21525","layer":1},{"info":"⇖⫷⫕↹⩛-21525=↹⩛21022","layer":0}]}
{"id":801,"expression_no_base_symbol":"$2197$⨑≵⋬$7499$⩹$6563$∙∹∝$3046$","expression":"↹⩛14101⨑≵⋬↹⩛54415⩹↹⩛50215∙∹∝↹⩛22034","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":37,"operation_count":3,"complexity_ratio":12.333333333333334,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2197,"base":6},"right_expr":{"type":"numeric_atoms","value":7499,"base":6}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":6563,"base":6},"right_expr":{"type":"numeric_atoms","value":3046,"base":6}}},"used_operators":["2Wsdkap16l","XnXgA4xnOs","HmxsFra2vL"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"↹⩛-2","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2197","layer":2},{"info":"number node, value=7499","layer":2},{"info":"compute binary expreesion, left_input=2197, right_input=7499, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-40129","layer":1},{"info":"number node, value=6563","layer":2},{"info":"number node, value=3046","layer":2},{"info":"compute binary expreesion, left_input=6563, right_input=3046, 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=-40129, right_input=0, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-2","layer":0}],"base":6,"result_base":6,"text":"↹⩛14101⨑≵⋬↹⩛54415⩹↹⩛50215∙∹∝↹⩛22034=↹⩛-2","reverse_text":"↹⩛-2=↹⩛14101⨑≵⋬↹⩛54415⩹↹⩛50215∙∹∝↹⩛22034","cot":[{"info":"↹⩛14101⨑≵⋬↹⩛54415=↹⩛-505441","layer":1},{"info":"↹⩛50215∙∹∝↹⩛22034=↹⩛0","layer":1},{"info":"↹⩛-505441⩹↹⩛0=↹⩛-2","layer":0}]}
{"id":802,"expression_no_base_symbol":"$1668$⋥⋵⩄$3286$⩺⪪$3794$⋥≓≎$1859$","expression":"↹⩛11420⋥⋵⩄↹⩛23114⩺⪪↹⩛25322⋥≓≎↹⩛12335","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":156,"operation_count":3,"complexity_ratio":52.0,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1668,"base":6},"right_expr":{"type":"numeric_atoms","value":3286,"base":6}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3794,"base":6},"right_expr":{"type":"numeric_atoms","value":1859,"base":6}}},"used_operators":["uvdQJvN4PV","7t3wd0Fuz7","Qy55tPpLXF"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛-104414","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1668","layer":2},{"info":"number node, value=3286","layer":2},{"info":"compute binary expreesion, left_input=1668, right_input=3286, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":1},{"info":"number node, value=3794","layer":2},{"info":"number node, value=1859","layer":2},{"info":"compute binary expreesion, left_input=3794, right_input=1859, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-43","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=-43, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-8794","layer":0}],"base":6,"result_base":6,"text":"↹⩛11420⋥⋵⩄↹⩛23114⩺⪪↹⩛25322⋥≓≎↹⩛12335=↹⩛-104414","reverse_text":"↹⩛-104414=↹⩛11420⋥⋵⩄↹⩛23114⩺⪪↹⩛25322⋥≓≎↹⩛12335","cot":[{"info":"↹⩛11420⋥⋵⩄↹⩛23114=↹⩛305","layer":1},{"info":"↹⩛25322⋥≓≎↹⩛12335=↹⩛-111","layer":1},{"info":"↹⩛305⩺⪪↹⩛-111=↹⩛-104414","layer":0}]}
{"id":803,"expression_no_base_symbol":"$3498$⊕∕$1037$≓∲$5789$⪃⊛⇣$1747$","expression":"↹⩛24110⊕∕↹⩛4445≓∲↹⩛42445⪃⊛⇣↹⩛12031","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":623,"operation_count":3,"complexity_ratio":207.66666666666666,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":3498,"base":6},"right_expr":{"type":"numeric_atoms","value":1037,"base":6}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":5789,"base":6},"right_expr":{"type":"numeric_atoms","value":1747,"base":6}}},"used_operators":["s1XTVnmDOJ","9cloC0Ngie","rrgAzCduG9"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"↹⩛433323","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3498","layer":2},{"info":"number node, value=1037","layer":2},{"info":"compute binary expreesion, left_input=3498, right_input=1037, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=3498","layer":1},{"info":"number node, value=5789","layer":2},{"info":"number node, value=1747","layer":2},{"info":"compute binary expreesion, left_input=5789, right_input=1747, 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=3498, right_input=1234, 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":0}],"base":6,"result_base":6,"text":"↹⩛24110⊕∕↹⩛4445≓∲↹⩛42445⪃⊛⇣↹⩛12031=↹⩛433323","reverse_text":"↹⩛433323=↹⩛24110⊕∕↹⩛4445≓∲↹⩛42445⪃⊛⇣↹⩛12031","cot":[{"info":"↹⩛24110⊕∕↹⩛4445=↹⩛24110","layer":1},{"info":"↹⩛42445⪃⊛⇣↹⩛12031=↹⩛5414","layer":1},{"info":"↹⩛24110≓∲↹⩛5414=↹⩛433323","layer":0}]}
{"id":804,"expression_no_base_symbol":"($2111$⊾⪯⋞$1344$)⋹","expression":"(↹⩛13435⊾⪯⋞↹⩛10120)⋹","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":125,"operation_count":2,"complexity_ratio":62.5,"tree":{"type":"unary","operator":"⋹","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2111,"base":6},"right_expr":{"type":"numeric_atoms","value":1344,"base":6}}},"used_operators":["opAxDRczMr","HK0tfVPux8"],"dependent_operators":["13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"↹⩛-32","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2111","layer":2},{"info":"number node, value=1344","layer":2},{"info":"compute binary expreesion, left_input=2111, right_input=1344, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=2262","layer":1},{"info":"compute unary expreesion, input=2262, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":0}],"base":6,"result_base":6,"text":"(↹⩛13435⊾⪯⋞↹⩛10120)⋹=↹⩛-32","reverse_text":"↹⩛-32=(↹⩛13435⊾⪯⋞↹⩛10120)⋹","cot":[{"info":"↹⩛13435⊾⪯⋞↹⩛10120=↹⩛14250","layer":1},{"info":"↹⩛14250⋹=↹⩛-32","layer":0}]}
{"id":805,"expression_no_base_symbol":"($1350$⪶≀⋏$3471$)≀⫉($2601$⊟⇱)","expression":"(↹⩛10130⪶≀⋏↹⩛24023)≀⫉(↹⩛20013⊟⇱)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":183,"operation_count":3,"complexity_ratio":61.0,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1350,"base":6},"right_expr":{"type":"numeric_atoms","value":3471,"base":6}},"right_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":2601,"base":6}}},"used_operators":["oZj3VtZNQx","zR4jO40bMj","03sUfWo75k"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","IWmyXbctLI"],"result":"↹⩛21022","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1350","layer":2},{"info":"number node, value=3471","layer":2},{"info":"compute binary expreesion, left_input=1350, right_input=3471, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-11224","layer":1},{"info":"number node, value=2601","layer":2},{"info":"compute unary expreesion, input=2601, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=5518","layer":1},{"info":"compute binary expreesion, left_input=-11224, right_input=5518, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10130⪶≀⋏↹⩛24023)≀⫉(↹⩛20013⊟⇱)=↹⩛21022","reverse_text":"↹⩛21022=(↹⩛10130⪶≀⋏↹⩛24023)≀⫉(↹⩛20013⊟⇱)","cot":[{"info":"↹⩛10130⪶≀⋏↹⩛24023=↹⩛-123544","layer":1},{"info":"↹⩛20013⊟⇱=↹⩛41314","layer":1},{"info":"↹⩛-123544≀⫉↹⩛41314=↹⩛21022","layer":0}]}
{"id":806,"expression_no_base_symbol":"$2080$≚⊃≕$4357$⪒$1526$⨜⨶$1019$","expression":"↹⩛13344≚⊃≕↹⩛32101⪒↹⩛11022⨜⨶↹⩛4415","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":49,"operation_count":3,"complexity_ratio":16.333333333333332,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2080,"base":6},"right_expr":{"type":"numeric_atoms","value":4357,"base":6}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1526,"base":6},"right_expr":{"type":"numeric_atoms","value":1019,"base":6}}},"used_operators":["f6k1SAg4EE","Bmrmz2XGnR","HiPekx5b7W"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"↹⩛145405","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2080","layer":2},{"info":"number node, value=4357","layer":2},{"info":"compute binary expreesion, left_input=2080, right_input=4357, 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=-12407","layer":1},{"info":"number node, value=1526","layer":2},{"info":"number node, value=1019","layer":2},{"info":"compute binary expreesion, left_input=1526, right_input=1019, 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=-1782","layer":1},{"info":"compute binary expreesion, left_input=-12407, right_input=-1782, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=14189","layer":0}],"base":6,"result_base":6,"text":"↹⩛13344≚⊃≕↹⩛32101⪒↹⩛11022⨜⨶↹⩛4415=↹⩛145405","reverse_text":"↹⩛145405=↹⩛13344≚⊃≕↹⩛32101⪒↹⩛11022⨜⨶↹⩛4415","cot":[{"info":"↹⩛13344≚⊃≕↹⩛32101=↹⩛-133235","layer":1},{"info":"↹⩛11022⨜⨶↹⩛4415=↹⩛-12130","layer":1},{"info":"↹⩛-133235⪒↹⩛-12130=↹⩛145405","layer":0}]}
{"id":807,"expression_no_base_symbol":"⋣($1004$⋅⇍$1877$)","expression":"⋣(↹⩛4352⋅⇍↹⩛12405)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":51,"operation_count":2,"complexity_ratio":25.5,"tree":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1004,"base":6},"right_expr":{"type":"numeric_atoms","value":1877,"base":6}}},"used_operators":["zQWRhDnn8F","AdZkA7nFnk"],"dependent_operators":["vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"↹⩛-305","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1004","layer":2},{"info":"number node, value=1877","layer":2},{"info":"compute binary expreesion, left_input=1004, right_input=1877, 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 = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":0}],"base":6,"result_base":6,"text":"⋣(↹⩛4352⋅⇍↹⩛12405)=↹⩛-305","reverse_text":"↹⩛-305=⋣(↹⩛4352⋅⇍↹⩛12405)","cot":[{"info":"↹⩛4352⋅⇍↹⩛12405=↹⩛-34","layer":1},{"info":"⋣↹⩛-34=↹⩛-305","layer":0}]}
{"id":808,"expression_no_base_symbol":"($1062$⨁⊸⫻)⪒$3126$≃$6489$","expression":"(↹⩛4530⨁⊸⫻)⪒↹⩛22250≃↹⩛50013","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23,"operation_count":3,"complexity_ratio":7.666666666666667,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1062,"base":6}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":3126,"base":6},"right_expr":{"type":"numeric_atoms","value":6489,"base":6}}},"used_operators":["f6k1SAg4EE","glklzrTFfD","YbVcJGFEVW"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"↹⩛125054","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1062","layer":2},{"info":"compute unary expreesion, input=1062, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1062","layer":1},{"info":"number node, value=3126","layer":2},{"info":"number node, value=6489","layer":2},{"info":"compute binary expreesion, left_input=3126, right_input=6489, 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=-12544","layer":1},{"info":"compute binary expreesion, left_input=1062, right_input=-12544, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=11482","layer":0}],"base":6,"result_base":6,"text":"(↹⩛4530⨁⊸⫻)⪒↹⩛22250≃↹⩛50013=↹⩛125054","reverse_text":"↹⩛125054=(↹⩛4530⨁⊸⫻)⪒↹⩛22250≃↹⩛50013","cot":[{"info":"↹⩛4530⨁⊸⫻=↹⩛4530","layer":1},{"info":"↹⩛22250≃↹⩛50013=↹⩛-134024","layer":1},{"info":"↹⩛4530⪒↹⩛-134024=↹⩛125054","layer":0}]}
{"id":809,"expression_no_base_symbol":"($5356$↬⩅∪)⩁⩘($3030$⩧⪆$1410$)","expression":"(↹⩛40444↬⩅∪)⩁⩘(↹⩛22010⩧⪆↹⩛10310)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":28,"operation_count":3,"complexity_ratio":9.333333333333334,"tree":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":5356,"base":6}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":3030,"base":6},"right_expr":{"type":"numeric_atoms","value":1410,"base":6}}},"used_operators":["gub5Cegaqo","VJ330n2nnx","Ikt5ks8PT7"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","eewbuw0ToL","t8gj7n24qd"],"result":"↹⩛-33420","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5356","layer":2},{"info":"compute unary expreesion, input=5356, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-16068","layer":1},{"info":"number node, value=3030","layer":2},{"info":"number node, value=1410","layer":2},{"info":"compute binary expreesion, left_input=3030, right_input=1410, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1410","layer":1},{"info":"compute binary expreesion, left_input=-16068, right_input=-1410, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-4692","layer":0}],"base":6,"result_base":6,"text":"(↹⩛40444↬⩅∪)⩁⩘(↹⩛22010⩧⪆↹⩛10310)=↹⩛-33420","reverse_text":"↹⩛-33420=(↹⩛40444↬⩅∪)⩁⩘(↹⩛22010⩧⪆↹⩛10310)","cot":[{"info":"↹⩛40444↬⩅∪=↹⩛-202220","layer":1},{"info":"↹⩛22010⩧⪆↹⩛10310=↹⩛-10310","layer":1},{"info":"↹⩛-202220⩁⩘↹⩛-10310=↹⩛-33420","layer":0}]}
{"id":810,"expression_no_base_symbol":"$1581$≃$3679$⫸⊐$1960$≓∲$2180$","expression":"↹⩛11153≃↹⩛25011⫸⊐↹⩛13024≓∲↹⩛14032","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":73,"operation_count":3,"complexity_ratio":24.333333333333332,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1581,"base":6},"right_expr":{"type":"numeric_atoms","value":3679,"base":6}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1960,"base":6},"right_expr":{"type":"numeric_atoms","value":2180,"base":6}}},"used_operators":["mqXw5SEYmG","YbVcJGFEVW","s1XTVnmDOJ"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"↹⩛4252","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1581","layer":2},{"info":"number node, value=3679","layer":2},{"info":"compute binary expreesion, left_input=1581, right_input=3679, 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=-6364","layer":1},{"info":"number node, value=1960","layer":2},{"info":"number node, value=2180","layer":2},{"info":"compute binary expreesion, left_input=1960, right_input=2180, 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=20383","layer":1},{"info":"compute binary expreesion, left_input=-6364, right_input=20383, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":0}],"base":6,"result_base":6,"text":"↹⩛11153≃↹⩛25011⫸⊐↹⩛13024≓∲↹⩛14032=↹⩛4252","reverse_text":"↹⩛4252=↹⩛11153≃↹⩛25011⫸⊐↹⩛13024≓∲↹⩛14032","cot":[{"info":"↹⩛11153≃↹⩛25011=↹⩛-45244","layer":1},{"info":"↹⩛13024≓∲↹⩛14032=↹⩛234211","layer":1},{"info":"↹⩛-45244⫸⊐↹⩛234211=↹⩛4252","layer":0}]}
{"id":811,"expression_no_base_symbol":"(⇐$3256$)∕⩚$3018$⨚⇆$1088$","expression":"(⇐↹⩛23024)∕⩚↹⩛21550⨚⇆↹⩛5012","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21221,"operation_count":3,"complexity_ratio":7073.666666666667,"tree":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":3256,"base":6}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":3018,"base":6},"right_expr":{"type":"numeric_atoms","value":1088,"base":6}}},"used_operators":["z9ffQ9n5Zr","nmZMaaE0Q9","lwHaAYXP2r"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"↹⩛-2131","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3256","layer":2},{"info":"compute unary expreesion, input=3256, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=6762","layer":1},{"info":"number node, value=3018","layer":2},{"info":"number node, value=1088","layer":2},{"info":"compute binary expreesion, left_input=3018, right_input=1088, 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=6762, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":0}],"base":6,"result_base":6,"text":"(⇐↹⩛23024)∕⩚↹⩛21550⨚⇆↹⩛5012=↹⩛-2131","reverse_text":"↹⩛-2131=(⇐↹⩛23024)∕⩚↹⩛21550⨚⇆↹⩛5012","cot":[{"info":"⇐↹⩛23024=↹⩛51150","layer":1},{"info":"↹⩛21550⨚⇆↹⩛5012=NaN","layer":1},{"info":"↹⩛51150∕⩚NaN=↹⩛-2131","layer":0}]}
{"id":812,"expression_no_base_symbol":"⇵⪽($1242$⪍↜⋙$4225$)","expression":"⇵⪽(↹⩛5430⪍↜⋙↹⩛31321)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":20,"operation_count":2,"complexity_ratio":10.0,"tree":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1242,"base":6},"right_expr":{"type":"numeric_atoms","value":4225,"base":6}}},"used_operators":["ZGCBLdVRRX","L05ObWFQCd"],"dependent_operators":["U7g4x0WXJJ","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1242","layer":2},{"info":"number node, value=4225","layer":2},{"info":"compute binary expreesion, left_input=1242, right_input=4225, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-15443","layer":1},{"info":"compute unary expreesion, input=-15443, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⇵⪽(↹⩛5430⪍↜⋙↹⩛31321)=NaN","reverse_text":"NaN=⇵⪽(↹⩛5430⪍↜⋙↹⩛31321)","cot":[{"info":"↹⩛5430⪍↜⋙↹⩛31321=↹⩛-155255","layer":1},{"info":"⇵⪽↹⩛-155255=NaN","layer":0}]}
{"id":813,"expression_no_base_symbol":"($3059$⨓$3947$)∀⇚≩($6676$⨰$1255$)","expression":"(↹⩛22055⨓↹⩛30135)∀⇚≩(↹⩛50524⨰↹⩛5451)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":31609,"operation_count":3,"complexity_ratio":10536.333333333334,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3059,"base":6},"right_expr":{"type":"numeric_atoms","value":3947,"base":6}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6676,"base":6},"right_expr":{"type":"numeric_atoms","value":1255,"base":6}}},"used_operators":["LRNGc0VcxI","3ViojmjbAp","eewbuw0ToL"],"dependent_operators":["X99M06cbEe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3059","layer":2},{"info":"number node, value=3947","layer":2},{"info":"compute binary expreesion, left_input=3059, right_input=3947, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3950","layer":1},{"info":"number node, value=6676","layer":2},{"info":"number node, value=1255","layer":2},{"info":"compute binary expreesion, left_input=6676, right_input=1255, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=5431","layer":1},{"info":"compute binary expreesion, left_input=-3950, right_input=5431, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":6,"result_base":6,"text":"(↹⩛22055⨓↹⩛30135)∀⇚≩(↹⩛50524⨰↹⩛5451)=NaN","reverse_text":"NaN=(↹⩛22055⨓↹⩛30135)∀⇚≩(↹⩛50524⨰↹⩛5451)","cot":[{"info":"↹⩛22055⨓↹⩛30135=↹⩛-30142","layer":1},{"info":"↹⩛50524⨰↹⩛5451=↹⩛41051","layer":1},{"info":"↹⩛-30142∀⇚≩↹⩛41051=NaN","layer":0}]}
{"id":814,"expression_no_base_symbol":"$5760$⩦$3569$∴($7431$⇉⇱⇎)","expression":"↹⩛42400⩦↹⩛24305∴(↹⩛54223⇉⇱⇎)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":63,"operation_count":3,"complexity_ratio":21.0,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":5760,"base":6},"right_expr":{"type":"numeric_atoms","value":3569,"base":6}},"right_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":7431,"base":6}}},"used_operators":["hrf7POJlIJ","0kmYd0q39Y","MRPaB8lBjK"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY"],"result":"↹⩛310144","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5760","layer":2},{"info":"number node, value=3569","layer":2},{"info":"compute binary expreesion, left_input=5760, right_input=3569, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=11520","layer":1},{"info":"number node, value=7431","layer":2},{"info":"compute unary expreesion, input=7431, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-7213","layer":1},{"info":"compute binary expreesion, left_input=11520, right_input=-7213, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=24688","layer":0}],"base":6,"result_base":6,"text":"↹⩛42400⩦↹⩛24305∴(↹⩛54223⇉⇱⇎)=↹⩛310144","reverse_text":"↹⩛310144=↹⩛42400⩦↹⩛24305∴(↹⩛54223⇉⇱⇎)","cot":[{"info":"↹⩛42400⩦↹⩛24305=↹⩛125200","layer":1},{"info":"↹⩛54223⇉⇱⇎=↹⩛-53221","layer":1},{"info":"↹⩛125200∴↹⩛-53221=↹⩛310144","layer":0}]}
{"id":815,"expression_no_base_symbol":"(⊙↵-$4711$)⫌⩉⩟$2528$⩨$4835$","expression":"(⊙↵-↹⩛33451)⫌⩉⩟↹⩛15412⩨↹⩛34215","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7239,"operation_count":3,"complexity_ratio":2413.0,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4711,"base":6}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2528,"base":6},"right_expr":{"type":"numeric_atoms","value":4835,"base":6}}},"used_operators":["XIIwhv8d0m","oWn0xqSxBt","2DlMacCsIx"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"↹⩛-32324","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4711","layer":2},{"info":"compute unary expreesion, input=4711, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=2528","layer":2},{"info":"number node, value=4835","layer":2},{"info":"compute binary expreesion, left_input=2528, right_input=4835, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=-3, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-4444","layer":0}],"base":6,"result_base":6,"text":"(⊙↵-↹⩛33451)⫌⩉⩟↹⩛15412⩨↹⩛34215=↹⩛-32324","reverse_text":"↹⩛-32324=(⊙↵-↹⩛33451)⫌⩉⩟↹⩛15412⩨↹⩛34215","cot":[{"info":"⊙↵-↹⩛33451=↹⩛-1","layer":1},{"info":"↹⩛15412⩨↹⩛34215=↹⩛-3","layer":1},{"info":"↹⩛-1⫌⩉⩟↹⩛-3=↹⩛-32324","layer":0}]}
{"id":816,"expression_no_base_symbol":"($4043$⇋≉)⊟⇱","expression":"(↹⩛30415⇋≉)⊟⇱","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12,"operation_count":2,"complexity_ratio":6.0,"tree":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":4043,"base":6}}},"used_operators":["03sUfWo75k","XIabStNQrY"],"dependent_operators":["IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛203232","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4043","layer":2},{"info":"compute unary expreesion, input=4043, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=7988","layer":1},{"info":"compute unary expreesion, input=7988, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=16292","layer":0}],"base":6,"result_base":6,"text":"(↹⩛30415⇋≉)⊟⇱=↹⩛203232","reverse_text":"↹⩛203232=(↹⩛30415⇋≉)⊟⇱","cot":[{"info":"↹⩛30415⇋≉=↹⩛100552","layer":1},{"info":"↹⩛100552⊟⇱=↹⩛203232","layer":0}]}
{"id":817,"expression_no_base_symbol":"$2695$⇮⋭$3688$⇼⇔∾($4540$⩅⪻⪻)","expression":"↹⩛20251⇮⋭↹⩛25024⇼⇔∾(↹⩛33004⩅⪻⪻)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":180,"operation_count":3,"complexity_ratio":60.0,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2695,"base":6},"right_expr":{"type":"numeric_atoms","value":3688,"base":6}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":4540,"base":6}}},"used_operators":["tifHPKVTfV","vkpjKywKVM","kHoXpA7yos"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls"],"result":"↹⩛-22213520","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2695","layer":2},{"info":"number node, value=3688","layer":2},{"info":"compute binary expreesion, left_input=2695, right_input=3688, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":1},{"info":"number node, value=4540","layer":2},{"info":"compute unary expreesion, input=4540, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-671345","layer":1},{"info":"compute binary expreesion, left_input=-473, right_input=-671345, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-670872","layer":0}],"base":6,"result_base":6,"text":"↹⩛20251⇮⋭↹⩛25024⇼⇔∾(↹⩛33004⩅⪻⪻)=↹⩛-22213520","reverse_text":"↹⩛-22213520=↹⩛20251⇮⋭↹⩛25024⇼⇔∾(↹⩛33004⩅⪻⪻)","cot":[{"info":"↹⩛20251⇮⋭↹⩛25024=↹⩛-2105","layer":1},{"info":"↹⩛33004⩅⪻⪻=↹⩛-22220025","layer":1},{"info":"↹⩛-2105⇼⇔∾↹⩛-22220025=↹⩛-22213520","layer":0}]}
{"id":818,"expression_no_base_symbol":"⊁⨺(≤/$1078$)","expression":"⊁⨺(≤/↹⩛4554)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":21,"operation_count":2,"complexity_ratio":10.5,"tree":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1078,"base":6}}},"used_operators":["PxiHyQbrIp","eLAdDNolq6"],"dependent_operators":["rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z"],"result":"↹⩛-23343","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1078","layer":2},{"info":"compute unary expreesion, input=1078, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-594","layer":1},{"info":"compute unary expreesion, input=-594, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=-3375","layer":0}],"base":6,"result_base":6,"text":"⊁⨺(≤/↹⩛4554)=↹⩛-23343","reverse_text":"↹⩛-23343=⊁⨺(≤/↹⩛4554)","cot":[{"info":"≤/↹⩛4554=↹⩛-2430","layer":1},{"info":"⊁⨺↹⩛-2430=↹⩛-23343","layer":0}]}
{"id":819,"expression_no_base_symbol":"($4500$⊍⩺⋍$1009$)⨒($2161$⩘⨬⇊)","expression":"(↹⩛32500⊍⩺⋍↹⩛4401)⨒(↹⩛14001⩘⨬⇊)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4224,"operation_count":3,"complexity_ratio":1408.0,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":4500,"base":6},"right_expr":{"type":"numeric_atoms","value":1009,"base":6}},"right_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":2161,"base":6}}},"used_operators":["y75s1iXyHd","OXDGMFPWZM","XXmTpEpWTW"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4500","layer":2},{"info":"number node, value=1009","layer":2},{"info":"compute binary expreesion, left_input=4500, right_input=1009, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"number node, value=2161","layer":2},{"info":"compute unary expreesion, input=2161, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛32500⊍⩺⋍↹⩛4401)⨒(↹⩛14001⩘⨬⇊)=NaN","reverse_text":"NaN=(↹⩛32500⊍⩺⋍↹⩛4401)⨒(↹⩛14001⩘⨬⇊)","cot":[{"info":"↹⩛32500⊍⩺⋍↹⩛4401=NaN","layer":1},{"info":"↹⩛14001⩘⨬⇊=NaN","layer":1},{"info":"NaN⨒NaN=NaN","layer":0}]}
{"id":820,"expression_no_base_symbol":"⫯($2313$∺≝⩲$1764$)","expression":"⫯(↹⩛14413∺≝⩲↹⩛12100)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":56,"operation_count":2,"complexity_ratio":28.0,"tree":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2313,"base":6},"right_expr":{"type":"numeric_atoms","value":1764,"base":6}}},"used_operators":["H6BK1Evt7c","KPf6cnQVty"],"dependent_operators":["2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"↹⩛113200","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2313","layer":2},{"info":"number node, value=1764","layer":2},{"info":"compute binary expreesion, left_input=2313, right_input=1764, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=9792","layer":0}],"base":6,"result_base":6,"text":"⫯(↹⩛14413∺≝⩲↹⩛12100)=↹⩛113200","reverse_text":"↹⩛113200=⫯(↹⩛14413∺≝⩲↹⩛12100)","cot":[{"info":"↹⩛14413∺≝⩲↹⩛12100=↹⩛424","layer":1},{"info":"⫯↹⩛424=↹⩛113200","layer":0}]}
{"id":821,"expression_no_base_symbol":"($3527$⩉⊫⨁)⩒⫫($2414$⨐⩸⫘$6992$)","expression":"(↹⩛24155⩉⊫⨁)⩒⫫(↹⩛15102⨐⩸⫘↹⩛52212)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27,"operation_count":3,"complexity_ratio":9.0,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":3527,"base":6}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2414,"base":6},"right_expr":{"type":"numeric_atoms","value":6992,"base":6}}},"used_operators":["KFSx94NKJn","7qqUquhhSb","fu6greOZ01"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","7j4O788W3g","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3527","layer":2},{"info":"compute unary expreesion, input=3527, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=3527","layer":1},{"info":"number node, value=2414","layer":2},{"info":"number node, value=6992","layer":2},{"info":"compute binary expreesion, left_input=2414, right_input=6992, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3527, 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":6,"result_base":6,"text":"(↹⩛24155⩉⊫⨁)⩒⫫(↹⩛15102⨐⩸⫘↹⩛52212)=NaN","reverse_text":"NaN=(↹⩛24155⩉⊫⨁)⩒⫫(↹⩛15102⨐⩸⫘↹⩛52212)","cot":[{"info":"↹⩛24155⩉⊫⨁=↹⩛24155","layer":1},{"info":"↹⩛15102⨐⩸⫘↹⩛52212=NaN","layer":1},{"info":"↹⩛24155⩒⫫NaN=NaN","layer":0}]}
{"id":822,"expression_no_base_symbol":"≀↧⇸(⪡⇡≛$5065$)","expression":"≀↧⇸(⪡⇡≛↹⩛35241)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":36,"operation_count":2,"complexity_ratio":18.0,"tree":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":5065,"base":6}}},"used_operators":["ljTHtUsqzn","qL4PrbW1Dq"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe"],"result":"↹⩛233444","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5065","layer":2},{"info":"compute unary expreesion, input=5065, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-5065","layer":1},{"info":"compute unary expreesion, input=-5065, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=20260","layer":0}],"base":6,"result_base":6,"text":"≀↧⇸(⪡⇡≛↹⩛35241)=↹⩛233444","reverse_text":"↹⩛233444=≀↧⇸(⪡⇡≛↹⩛35241)","cot":[{"info":"⪡⇡≛↹⩛35241=↹⩛-35241","layer":1},{"info":"≀↧⇸↹⩛-35241=↹⩛233444","layer":0}]}
{"id":823,"expression_no_base_symbol":"-(⊆⋠$5622$)","expression":"-(⊆⋠↹⩛42010)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":30,"operation_count":2,"complexity_ratio":15.0,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":5622,"base":6}}},"used_operators":["t8gj7n24qd","EBhcHTkKd8"],"dependent_operators":["YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5622","layer":2},{"info":"compute unary expreesion, input=5622, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = t8gj7n24qd, unary_op_definition = 'None', output=0","layer":0}],"base":6,"result_base":6,"text":"-(⊆⋠↹⩛42010)=↹⩛0","reverse_text":"↹⩛0=-(⊆⋠↹⩛42010)","cot":[{"info":"⊆⋠↹⩛42010=↹⩛0","layer":1},{"info":"-↹⩛0=↹⩛0","layer":0}]}
{"id":824,"expression_no_base_symbol":"($1067$∺≝⩲$3047$)⨿(⊤⊝$2181$)","expression":"(↹⩛4535∺≝⩲↹⩛22035)⨿(⊤⊝↹⩛14033)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":236,"operation_count":3,"complexity_ratio":78.66666666666667,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1067,"base":6},"right_expr":{"type":"numeric_atoms","value":3047,"base":6}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":2181,"base":6}}},"used_operators":["abYXlopdE0","KPf6cnQVty","rXAclfmB4M"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","sdazOOVcIp"],"result":"↹⩛-1251","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1067","layer":2},{"info":"number node, value=3047","layer":2},{"info":"compute binary expreesion, left_input=1067, right_input=3047, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"number node, value=2181","layer":2},{"info":"compute unary expreesion, input=2181, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=3064","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=3064, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":0}],"base":6,"result_base":6,"text":"(↹⩛4535∺≝⩲↹⩛22035)⨿(⊤⊝↹⩛14033)=↹⩛-1251","reverse_text":"↹⩛-1251=(↹⩛4535∺≝⩲↹⩛22035)⨿(⊤⊝↹⩛14033)","cot":[{"info":"↹⩛4535∺≝⩲↹⩛22035=↹⩛424","layer":1},{"info":"⊤⊝↹⩛14033=↹⩛22104","layer":1},{"info":"↹⩛424⨿↹⩛22104=↹⩛-1251","layer":0}]}
{"id":825,"expression_no_base_symbol":"($2905$↸$5119$)≎⪠($1520$⋅⇍$6739$)","expression":"(↹⩛21241↸↹⩛35411)≎⪠(↹⩛11012⋅⇍↹⩛51111)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22017,"operation_count":3,"complexity_ratio":7339.0,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2905,"base":6},"right_expr":{"type":"numeric_atoms","value":5119,"base":6}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1520,"base":6},"right_expr":{"type":"numeric_atoms","value":6739,"base":6}}},"used_operators":["aNhz54LH3e","1eCjFl0mb9","AdZkA7nFnk"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"↹⩛230314","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2905","layer":2},{"info":"number node, value=5119","layer":2},{"info":"compute binary expreesion, left_input=2905, right_input=5119, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2905","layer":1},{"info":"number node, value=1520","layer":2},{"info":"number node, value=6739","layer":2},{"info":"compute binary expreesion, left_input=1520, right_input=6739, 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=2905, right_input=-22, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":6,"result_base":6,"text":"(↹⩛21241↸↹⩛35411)≎⪠(↹⩛11012⋅⇍↹⩛51111)=↹⩛230314","reverse_text":"↹⩛230314=(↹⩛21241↸↹⩛35411)≎⪠(↹⩛11012⋅⇍↹⩛51111)","cot":[{"info":"↹⩛21241↸↹⩛35411=↹⩛21241","layer":1},{"info":"↹⩛11012⋅⇍↹⩛51111=↹⩛-34","layer":1},{"info":"↹⩛21241≎⪠↹⩛-34=↹⩛230314","layer":0}]}
{"id":826,"expression_no_base_symbol":"⊁⨺($3428$∽$6220$)","expression":"⊁⨺(↹⩛23512∽↹⩛44444)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":30,"operation_count":2,"complexity_ratio":15.0,"tree":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":3428,"base":6},"right_expr":{"type":"numeric_atoms","value":6220,"base":6}}},"used_operators":["PxiHyQbrIp","y4ImoPnbV5"],"dependent_operators":["rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","QMFrweE19q"],"result":"↹⩛-5154443","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3428","layer":2},{"info":"number node, value=6220","layer":2},{"info":"compute binary expreesion, left_input=3428, right_input=6220, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-35622","layer":1},{"info":"compute unary expreesion, input=-35622, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=-248571","layer":0}],"base":6,"result_base":6,"text":"⊁⨺(↹⩛23512∽↹⩛44444)=↹⩛-5154443","reverse_text":"↹⩛-5154443=⊁⨺(↹⩛23512∽↹⩛44444)","cot":[{"info":"↹⩛23512∽↹⩛44444=↹⩛-432530","layer":1},{"info":"⊁⨺↹⩛-432530=↹⩛-5154443","layer":0}]}
{"id":827,"expression_no_base_symbol":"($1111$≥⨤⩑$1294$)⨔≚≋$3744$≎⪠$1966$","expression":"(↹⩛5051≥⨤⩑↹⩛5554)⨔≚≋↹⩛25200≎⪠↹⩛13034","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19164,"operation_count":3,"complexity_ratio":6388.0,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1111,"base":6},"right_expr":{"type":"numeric_atoms","value":1294,"base":6}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":3744,"base":6},"right_expr":{"type":"numeric_atoms","value":1966,"base":6}}},"used_operators":["Z57zeUYC9z","gJLn6v0xnP","aNhz54LH3e"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"↹⩛113412","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1111","layer":2},{"info":"number node, value=1294","layer":2},{"info":"compute binary expreesion, left_input=1111, right_input=1294, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"number node, value=3744","layer":2},{"info":"number node, value=1966","layer":2},{"info":"compute binary expreesion, left_input=3744, right_input=1966, 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=1234, right_input=19558, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5051≥⨤⩑↹⩛5554)⨔≚≋↹⩛25200≎⪠↹⩛13034=↹⩛113412","reverse_text":"↹⩛113412=(↹⩛5051≥⨤⩑↹⩛5554)⨔≚≋↹⩛25200≎⪠↹⩛13034","cot":[{"info":"↹⩛5051≥⨤⩑↹⩛5554=↹⩛5414","layer":1},{"info":"↹⩛25200≎⪠↹⩛13034=↹⩛230314","layer":1},{"info":"↹⩛5414⨔≚≋↹⩛230314=↹⩛113412","layer":0}]}
{"id":828,"expression_no_base_symbol":"($8475$⇪⋭)⨲∙","expression":"(↹⩛103123⇪⋭)⨲∙","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":217,"operation_count":2,"complexity_ratio":108.5,"tree":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":8475,"base":6}}},"used_operators":["cRahaglYVE","Z8Yg6dlDSp"],"dependent_operators":["XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=8475","layer":2},{"info":"compute unary expreesion, input=8475, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛103123⇪⋭)⨲∙=NaN","reverse_text":"NaN=(↹⩛103123⇪⋭)⨲∙","cot":[{"info":"↹⩛103123⇪⋭=NaN","layer":1},{"info":"NaN⨲∙=NaN","layer":0}]}
{"id":829,"expression_no_base_symbol":"$2578$≌$6465$⫡⨏$8254$⇍⊗$5103$","expression":"↹⩛15534≌↹⩛45533⫡⨏↹⩛102114⇍⊗↹⩛35343","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6643,"operation_count":3,"complexity_ratio":2214.3333333333335,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2578,"base":6},"right_expr":{"type":"numeric_atoms","value":6465,"base":6}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":8254,"base":6},"right_expr":{"type":"numeric_atoms","value":5103,"base":6}}},"used_operators":["QMFrweE19q","lyWz822IDG","5uvYHDjeKN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2578","layer":2},{"info":"number node, value=6465","layer":2},{"info":"compute binary expreesion, left_input=2578, right_input=6465, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":1},{"info":"number node, value=8254","layer":2},{"info":"number node, value=5103","layer":2},{"info":"compute binary expreesion, left_input=8254, right_input=5103, 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 = 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":6,"result_base":6,"text":"↹⩛15534≌↹⩛45533⫡⨏↹⩛102114⇍⊗↹⩛35343=NaN","reverse_text":"NaN=↹⩛15534≌↹⩛45533⫡⨏↹⩛102114⇍⊗↹⩛35343","cot":[{"info":"↹⩛15534≌↹⩛45533=NaN","layer":1},{"info":"↹⩛102114⇍⊗↹⩛35343=↹⩛-1044","layer":1},{"info":"NaN⫡⨏↹⩛-1044=NaN","layer":0}]}
{"id":830,"expression_no_base_symbol":"$3930$→⨶⪴$1134$≃$6027$⩣⫁∢$6918$","expression":"↹⩛30110→⨶⪴↹⩛5130≃↹⩛43523⩣⫁∢↹⩛52010","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":39,"operation_count":3,"complexity_ratio":13.0,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":3930,"base":6},"right_expr":{"type":"numeric_atoms","value":1134,"base":6}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":6027,"base":6},"right_expr":{"type":"numeric_atoms","value":6918,"base":6}}},"used_operators":["YbVcJGFEVW","bF6eod5Gvf","JDUIKTTSIa"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","8w2t5hMYqp","9FxExcQeMw","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"↹⩛1004020","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3930","layer":2},{"info":"number node, value=1134","layer":2},{"info":"compute binary expreesion, left_input=3930, right_input=1134, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3402","layer":1},{"info":"number node, value=6027","layer":2},{"info":"number node, value=6918","layer":2},{"info":"compute binary expreesion, left_input=6027, right_input=6918, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-11893","layer":1},{"info":"compute binary expreesion, left_input=-3402, right_input=-11893, 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=47532","layer":0}],"base":6,"result_base":6,"text":"↹⩛30110→⨶⪴↹⩛5130≃↹⩛43523⩣⫁∢↹⩛52010=↹⩛1004020","reverse_text":"↹⩛1004020=↹⩛30110→⨶⪴↹⩛5130≃↹⩛43523⩣⫁∢↹⩛52010","cot":[{"info":"↹⩛30110→⨶⪴↹⩛5130=↹⩛-23430","layer":1},{"info":"↹⩛43523⩣⫁∢↹⩛52010=↹⩛-131021","layer":1},{"info":"↹⩛-23430≃↹⩛-131021=↹⩛1004020","layer":0}]}
{"id":831,"expression_no_base_symbol":"($5154$↳∿⪆$3983$)⊱⇼⊻(⊵⊁$3187$)","expression":"(↹⩛35510↳∿⪆↹⩛30235)⊱⇼⊻(⊵⊁↹⩛22431)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2477,"operation_count":3,"complexity_ratio":825.6666666666666,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":5154,"base":6},"right_expr":{"type":"numeric_atoms","value":3983,"base":6}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":3187,"base":6}}},"used_operators":["FyVja0WsTP","Cw4SuJJGHO","AvED76WdY7"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","uBihLCJcMX","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5154","layer":2},{"info":"number node, value=3983","layer":2},{"info":"compute binary expreesion, left_input=5154, right_input=3983, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"number node, value=3187","layer":2},{"info":"compute unary expreesion, input=3187, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=18052","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=18052, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛35510↳∿⪆↹⩛30235)⊱⇼⊻(⊵⊁↹⩛22431)=NaN","reverse_text":"NaN=(↹⩛35510↳∿⪆↹⩛30235)⊱⇼⊻(⊵⊁↹⩛22431)","cot":[{"info":"↹⩛35510↳∿⪆↹⩛30235=NaN","layer":1},{"info":"⊵⊁↹⩛22431=↹⩛215324","layer":1},{"info":"NaN⊱⇼⊻↹⩛215324=NaN","layer":0}]}
{"id":832,"expression_no_base_symbol":"($1282$⪭≯$4921$)⫘($2647$≳⇉$2809$)","expression":"(↹⩛5534⪭≯↹⩛34441)⫘(↹⩛20131≳⇉↹⩛21001)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":125343541,"operation_count":3,"complexity_ratio":41781180.333333336,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1282,"base":6},"right_expr":{"type":"numeric_atoms","value":4921,"base":6}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2647,"base":6},"right_expr":{"type":"numeric_atoms","value":2809,"base":6}}},"used_operators":["48vC8HMD2b","XAx5wpdLa6","V0kx6qeWkN"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1282","layer":2},{"info":"number node, value=4921","layer":2},{"info":"compute binary expreesion, left_input=1282, right_input=4921, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"number node, value=2647","layer":2},{"info":"number node, value=2809","layer":2},{"info":"compute binary expreesion, left_input=2647, right_input=2809, 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 = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5534⪭≯↹⩛34441)⫘(↹⩛20131≳⇉↹⩛21001)=NaN","reverse_text":"NaN=(↹⩛5534⪭≯↹⩛34441)⫘(↹⩛20131≳⇉↹⩛21001)","cot":[{"info":"↹⩛5534⪭≯↹⩛34441=NaN","layer":1},{"info":"↹⩛20131≳⇉↹⩛21001=NaN","layer":1},{"info":"NaN⫘NaN=NaN","layer":0}]}
{"id":833,"expression_no_base_symbol":"(≇⪴$3012$)∠⫱(⨂⪏⇭$6049$)","expression":"(≇⪴↹⩛21540)∠⫱(⨂⪏⇭↹⩛44001)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":35,"operation_count":3,"complexity_ratio":11.666666666666666,"tree":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":3012,"base":6}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":6049,"base":6}}},"used_operators":["QvoQhV0rrE","zoVPnxeHJ3","AYdpE9sXAk"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","eewbuw0ToL","NTOWxs364D","EBcxylXtPf"],"result":"↹⩛5414","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3012","layer":2},{"info":"compute unary expreesion, input=3012, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-7696","layer":1},{"info":"number node, value=6049","layer":2},{"info":"compute unary expreesion, input=6049, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=17168","layer":1},{"info":"compute binary expreesion, left_input=-7696, right_input=17168, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":0}],"base":6,"result_base":6,"text":"(≇⪴↹⩛21540)∠⫱(⨂⪏⇭↹⩛44001)=↹⩛5414","reverse_text":"↹⩛5414=(≇⪴↹⩛21540)∠⫱(⨂⪏⇭↹⩛44001)","cot":[{"info":"≇⪴↹⩛21540=↹⩛-55344","layer":1},{"info":"⨂⪏⇭↹⩛44001=↹⩛211252","layer":1},{"info":"↹⩛-55344∠⫱↹⩛211252=↹⩛5414","layer":0}]}
{"id":834,"expression_no_base_symbol":"($6740$⊪)⪄$1218$≴⪞⇿$2218$","expression":"(↹⩛51112⊪)⪄↹⩛5350≴⪞⇿↹⩛14134","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1037,"operation_count":3,"complexity_ratio":345.6666666666667,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":6740,"base":6}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1218,"base":6},"right_expr":{"type":"numeric_atoms","value":2218,"base":6}}},"used_operators":["SUmda5xLS4","zVYPLywUTj","lvlrscuwVU"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"↹⩛-413021121","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6740","layer":2},{"info":"compute unary expreesion, input=6740, 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=1218","layer":2},{"info":"number node, value=2218","layer":2},{"info":"compute binary expreesion, left_input=1218, right_input=2218, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=1786284","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1786284, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-7141225","layer":0}],"base":6,"result_base":6,"text":"(↹⩛51112⊪)⪄↹⩛5350≴⪞⇿↹⩛14134=↹⩛-413021121","reverse_text":"↹⩛-413021121=(↹⩛51112⊪)⪄↹⩛5350≴⪞⇿↹⩛14134","cot":[{"info":"↹⩛51112⊪=↹⩛0","layer":1},{"info":"↹⩛5350≴⪞⇿↹⩛14134=↹⩛102141500","layer":1},{"info":"↹⩛0⪄↹⩛102141500=↹⩛-413021121","layer":0}]}
{"id":835,"expression_no_base_symbol":"($1309$⊠≄⫣)≁↽≥($2912$⪶≀⋏$3194$)","expression":"(↹⩛10021⊠≄⫣)≁↽≥(↹⩛21252⪶≀⋏↹⩛22442)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15403,"operation_count":3,"complexity_ratio":5134.333333333333,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1309,"base":6}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2912,"base":6},"right_expr":{"type":"numeric_atoms","value":3194,"base":6}}},"used_operators":["ncHt1X6cMc","DIvbN7qnHd","zR4jO40bMj"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"↹⩛524","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1309","layer":2},{"info":"compute unary expreesion, input=1309, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=2912","layer":2},{"info":"number node, value=3194","layer":2},{"info":"compute binary expreesion, left_input=2912, right_input=3194, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-15356","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-15356, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10021⊠≄⫣)≁↽≥(↹⩛21252⪶≀⋏↹⩛22442)=↹⩛524","reverse_text":"↹⩛524=(↹⩛10021⊠≄⫣)≁↽≥(↹⩛21252⪶≀⋏↹⩛22442)","cot":[{"info":"↹⩛10021⊠≄⫣=↹⩛0","layer":1},{"info":"↹⩛21252⪶≀⋏↹⩛22442=↹⩛-155032","layer":1},{"info":"↹⩛0≁↽≥↹⩛-155032=↹⩛524","layer":0}]}
{"id":836,"expression_no_base_symbol":"($1272$⨻⩈⩔$1195$)∌($4215$⋻⩜⩜$1142$)","expression":"(↹⩛5520⨻⩈⩔↹⩛5311)∌(↹⩛31303⋻⩜⩜↹⩛5142)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16109,"operation_count":3,"complexity_ratio":5369.666666666667,"tree":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1272,"base":6},"right_expr":{"type":"numeric_atoms","value":1195,"base":6}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":4215,"base":6},"right_expr":{"type":"numeric_atoms","value":1142,"base":6}}},"used_operators":["8cLx32lpNA","nEsXyWgiOK","oDCm7WA9JY"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"↹⩛-450","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1272","layer":2},{"info":"number node, value=1195","layer":2},{"info":"compute binary expreesion, left_input=1272, right_input=1195, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":1},{"info":"number node, value=4215","layer":2},{"info":"number node, value=1142","layer":2},{"info":"compute binary expreesion, left_input=4215, right_input=1142, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=8430","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=8430, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-174","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5520⨻⩈⩔↹⩛5311)∌(↹⩛31303⋻⩜⩜↹⩛5142)=↹⩛-450","reverse_text":"↹⩛-450=(↹⩛5520⨻⩈⩔↹⩛5311)∌(↹⩛31303⋻⩜⩜↹⩛5142)","cot":[{"info":"↹⩛5520⨻⩈⩔↹⩛5311=↹⩛-450","layer":1},{"info":"↹⩛31303⋻⩜⩜↹⩛5142=↹⩛103010","layer":1},{"info":"↹⩛-450∌↹⩛103010=↹⩛-450","layer":0}]}
{"id":837,"expression_no_base_symbol":"($1440$⋝⋈⪟$3759$)⇻⋧≁($3488$↡⊰⫅$3284$)","expression":"(↹⩛10400⋝⋈⪟↹⩛25223)⇻⋧≁(↹⩛24052↡⊰⫅↹⩛23112)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":47461,"operation_count":3,"complexity_ratio":15820.333333333334,"tree":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1440,"base":6},"right_expr":{"type":"numeric_atoms","value":3759,"base":6}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":3488,"base":6},"right_expr":{"type":"numeric_atoms","value":3284,"base":6}}},"used_operators":["jCPkEVoL5K","2DDjHMKMc0","VCtxkLNOzz"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"↹⩛-2023","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1440","layer":2},{"info":"number node, value=3759","layer":2},{"info":"compute binary expreesion, left_input=1440, right_input=3759, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1440","layer":1},{"info":"number node, value=3488","layer":2},{"info":"number node, value=3284","layer":2},{"info":"compute binary expreesion, left_input=3488, right_input=3284, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=6568","layer":1},{"info":"compute binary expreesion, left_input=1440, right_input=6568, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10400⋝⋈⪟↹⩛25223)⇻⋧≁(↹⩛24052↡⊰⫅↹⩛23112)=↹⩛-2023","reverse_text":"↹⩛-2023=(↹⩛10400⋝⋈⪟↹⩛25223)⇻⋧≁(↹⩛24052↡⊰⫅↹⩛23112)","cot":[{"info":"↹⩛10400⋝⋈⪟↹⩛25223=↹⩛10400","layer":1},{"info":"↹⩛24052↡⊰⫅↹⩛23112=↹⩛50224","layer":1},{"info":"↹⩛10400⇻⋧≁↹⩛50224=↹⩛-2023","layer":0}]}
{"id":838,"expression_no_base_symbol":"$8048$⩧⪆$2545$⪬∳","expression":"↹⩛101132⩧⪆↹⩛15441⪬∳","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7765,"operation_count":2,"complexity_ratio":3882.5,"tree":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":8048,"base":6},"right_expr":{"type":"numeric_atoms","value":2545,"base":6}}},"used_operators":["O9U3z1385E","Ikt5ks8PT7"],"dependent_operators":["FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","eewbuw0ToL","t8gj7n24qd"],"result":"↹⩛-3141","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=8048","layer":2},{"info":"number node, value=2545","layer":2},{"info":"compute binary expreesion, left_input=8048, right_input=2545, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2545","layer":1},{"info":"compute unary expreesion, input=-2545, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":0}],"base":6,"result_base":6,"text":"↹⩛101132⩧⪆↹⩛15441⪬∳=↹⩛-3141","reverse_text":"↹⩛-3141=↹⩛101132⩧⪆↹⩛15441⪬∳","cot":[{"info":"↹⩛101132⩧⪆↹⩛15441=↹⩛-15441","layer":1},{"info":"↹⩛-15441⪬∳=↹⩛-3141","layer":0}]}
{"id":839,"expression_no_base_symbol":"($3254$⩘)∽(⊗$1340$)","expression":"(↹⩛23022⩘)∽(⊗↹⩛10112)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":76,"operation_count":3,"complexity_ratio":25.333333333333332,"tree":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":3254,"base":6}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":1340,"base":6}}},"used_operators":["y4ImoPnbV5","wvHyciQT5X","RhiyfpczSx"],"dependent_operators":["NTOWxs364D","QMFrweE19q","9ICcGScMcE","dfKe02y8D2","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U"],"result":"↹⩛100255","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3254","layer":2},{"info":"compute unary expreesion, input=3254, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":1},{"info":"number node, value=1340","layer":2},{"info":"compute unary expreesion, input=1340, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-2680","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-2680, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=7883","layer":0}],"base":6,"result_base":6,"text":"(↹⩛23022⩘)∽(⊗↹⩛10112)=↹⩛100255","reverse_text":"↹⩛100255=(↹⩛23022⩘)∽(⊗↹⩛10112)","cot":[{"info":"↹⩛23022⩘=↹⩛151","layer":1},{"info":"⊗↹⩛10112=↹⩛-20224","layer":1},{"info":"↹⩛151∽↹⩛-20224=↹⩛100255","layer":0}]}
{"id":840,"expression_no_base_symbol":"$7706$⨽∌$3145$⨐($1932$⋩≍≻)","expression":"↹⩛55402⨽∌↹⩛22321⨐(↹⩛12540⋩≍≻)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":70,"operation_count":3,"complexity_ratio":23.333333333333332,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":7706,"base":6},"right_expr":{"type":"numeric_atoms","value":3145,"base":6}},"right_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":1932,"base":6}}},"used_operators":["Noe24qw2ks","9samAPKr6k","WYd1w68Nbz"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=7706","layer":2},{"info":"number node, value=3145","layer":2},{"info":"compute binary expreesion, left_input=7706, right_input=3145, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"number node, value=1932","layer":2},{"info":"compute unary expreesion, input=1932, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-55, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"↹⩛55402⨽∌↹⩛22321⨐(↹⩛12540⋩≍≻)=↹⩛0","reverse_text":"↹⩛0=↹⩛55402⨽∌↹⩛22321⨐(↹⩛12540⋩≍≻)","cot":[{"info":"↹⩛55402⨽∌↹⩛22321=↹⩛0","layer":1},{"info":"↹⩛12540⋩≍≻=↹⩛-131","layer":1},{"info":"↹⩛0⨐↹⩛-131=↹⩛0","layer":0}]}
{"id":841,"expression_no_base_symbol":"⊵⊁($3523$⋘⨑⨽)","expression":"⊵⊁(↹⩛24151⋘⨑⨽)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":41,"operation_count":2,"complexity_ratio":20.5,"tree":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":3523,"base":6}}},"used_operators":["AvED76WdY7","WmT3o8z6ya"],"dependent_operators":["uBihLCJcMX","k8jYdgA6NY","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q"],"result":"↹⩛2202034","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3523","layer":2},{"info":"compute unary expreesion, input=3523, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=18398","layer":1},{"info":"compute unary expreesion, input=18398, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=109318","layer":0}],"base":6,"result_base":6,"text":"⊵⊁(↹⩛24151⋘⨑⨽)=↹⩛2202034","reverse_text":"↹⩛2202034=⊵⊁(↹⩛24151⋘⨑⨽)","cot":[{"info":"↹⩛24151⋘⨑⨽=↹⩛221102","layer":1},{"info":"⊵⊁↹⩛221102=↹⩛2202034","layer":0}]}
{"id":842,"expression_no_base_symbol":"∷≠($3172$∠↢$4624$)","expression":"∷≠(↹⩛22404∠↢↹⩛33224)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15,"operation_count":2,"complexity_ratio":7.5,"tree":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":3172,"base":6},"right_expr":{"type":"numeric_atoms","value":4624,"base":6}}},"used_operators":["QiR2Oyf5Xj","KbjG8mgYpV"],"dependent_operators":["7j4O788W3g","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"↹⩛-1345234","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3172","layer":2},{"info":"number node, value=4624","layer":2},{"info":"compute binary expreesion, left_input=3172, right_input=4624, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-76342","layer":1},{"info":"compute unary expreesion, input=-76342, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-76342","layer":0}],"base":6,"result_base":6,"text":"∷≠(↹⩛22404∠↢↹⩛33224)=↹⩛-1345234","reverse_text":"↹⩛-1345234=∷≠(↹⩛22404∠↢↹⩛33224)","cot":[{"info":"↹⩛22404∠↢↹⩛33224=↹⩛-1345234","layer":1},{"info":"∷≠↹⩛-1345234=↹⩛-1345234","layer":0}]}
{"id":843,"expression_no_base_symbol":"⨑⩽⪐$8094$⫲≸⪮$8293$","expression":"⨑⩽⪐↹⩛101250⫲≸⪮↹⩛102221","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8098,"operation_count":2,"complexity_ratio":4049.0,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":8094,"base":6},"right_expr":{"type":"numeric_atoms","value":8293,"base":6}}},"used_operators":["AF7qkfDlqP","P3lXMJvFrc"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"↹⩛-100113","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8094","layer":2},{"info":"number node, value=8293","layer":2},{"info":"compute binary expreesion, left_input=8094, right_input=8293, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=8094","layer":1},{"info":"compute unary expreesion, input=8094, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-7821","layer":0}],"base":6,"result_base":6,"text":"⨑⩽⪐↹⩛101250⫲≸⪮↹⩛102221=↹⩛-100113","reverse_text":"↹⩛-100113=⨑⩽⪐↹⩛101250⫲≸⪮↹⩛102221","cot":[{"info":"↹⩛101250⫲≸⪮↹⩛102221=↹⩛101250","layer":1},{"info":"⨑⩽⪐↹⩛101250=↹⩛-100113","layer":0}]}
{"id":844,"expression_no_base_symbol":"($2556$∧)∌($3420$≀⩗∶$4218$)","expression":"(↹⩛15500∧)∌(↹⩛23500≀⩗∶↹⩛31310)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":20,"operation_count":3,"complexity_ratio":6.666666666666667,"tree":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2556,"base":6}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":3420,"base":6},"right_expr":{"type":"numeric_atoms","value":4218,"base":6}}},"used_operators":["8cLx32lpNA","z63VuFQld9","8INZBEW696"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"↹⩛3","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2556","layer":2},{"info":"compute unary expreesion, input=2556, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"number node, value=3420","layer":2},{"info":"number node, value=4218","layer":2},{"info":"compute binary expreesion, left_input=3420, right_input=4218, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=3","layer":0}],"base":6,"result_base":6,"text":"(↹⩛15500∧)∌(↹⩛23500≀⩗∶↹⩛31310)=↹⩛3","reverse_text":"↹⩛3=(↹⩛15500∧)∌(↹⩛23500≀⩗∶↹⩛31310)","cot":[{"info":"↹⩛15500∧=NaN","layer":1},{"info":"↹⩛23500≀⩗∶↹⩛31310=↹⩛-3","layer":1},{"info":"NaN∌↹⩛-3=↹⩛3","layer":0}]}
{"id":845,"expression_no_base_symbol":"(⨭⩧⫛$1472$)⨹","expression":"(⨭⩧⫛↹⩛10452)⨹","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3244,"operation_count":2,"complexity_ratio":1622.0,"tree":{"type":"unary","operator":"⨹","unary_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":1472,"base":6}}},"used_operators":["UnCoSGIALn","g21JL6JxX7"],"dependent_operators":["mp7IySMOzn","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1472","layer":2},{"info":"compute unary expreesion, input=1472, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⨭⩧⫛↹⩛10452)⨹=NaN","reverse_text":"NaN=(⨭⩧⫛↹⩛10452)⨹","cot":[{"info":"⨭⩧⫛↹⩛10452=NaN","layer":1},{"info":"NaN⨹=NaN","layer":0}]}
{"id":846,"expression_no_base_symbol":"(⊬↢$1748$)⨎(⇋↷$3513$)","expression":"(⊬↢↹⩛12032)⨎(⇋↷↹⩛24133)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1809,"operation_count":3,"complexity_ratio":603.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":1748,"base":6}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":3513,"base":6}}},"used_operators":["rJVOvQCfKK","WPoGxAaPR1","SWo3A1KBJH"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG"],"result":"↹⩛334040","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1748","layer":2},{"info":"compute unary expreesion, input=1748, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":1},{"info":"number node, value=3513","layer":2},{"info":"compute unary expreesion, input=3513, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=28104","layer":1},{"info":"compute binary expreesion, left_input=218, right_input=28104, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=28104","layer":0}],"base":6,"result_base":6,"text":"(⊬↢↹⩛12032)⨎(⇋↷↹⩛24133)=↹⩛334040","reverse_text":"↹⩛334040=(⊬↢↹⩛12032)⨎(⇋↷↹⩛24133)","cot":[{"info":"⊬↢↹⩛12032=↹⩛1002","layer":1},{"info":"⇋↷↹⩛24133=↹⩛334040","layer":1},{"info":"↹⩛1002⨎↹⩛334040=↹⩛334040","layer":0}]}
{"id":847,"expression_no_base_symbol":"($3092$⩚⊴⇥$6811$)≀⫉($1209$*$1228$)","expression":"(↹⩛22152⩚⊴⇥↹⩛51311)≀⫉(↹⩛5333*↹⩛5404)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1374,"operation_count":3,"complexity_ratio":458.0,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3092,"base":6},"right_expr":{"type":"numeric_atoms","value":6811,"base":6}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1209,"base":6},"right_expr":{"type":"numeric_atoms","value":1228,"base":6}}},"used_operators":["oZj3VtZNQx","NTOWxs364D","9HNa5Wba9A"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe"],"result":"↹⩛21022","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3092","layer":2},{"info":"number node, value=6811","layer":2},{"info":"compute binary expreesion, left_input=3092, right_input=6811, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10024","layer":1},{"info":"number node, value=1209","layer":2},{"info":"number node, value=1228","layer":2},{"info":"compute binary expreesion, left_input=1209, right_input=1228, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1484652","layer":1},{"info":"compute binary expreesion, left_input=-10024, right_input=1484652, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":0}],"base":6,"result_base":6,"text":"(↹⩛22152⩚⊴⇥↹⩛51311)≀⫉(↹⩛5333*↹⩛5404)=↹⩛21022","reverse_text":"↹⩛21022=(↹⩛22152⩚⊴⇥↹⩛51311)≀⫉(↹⩛5333*↹⩛5404)","cot":[{"info":"↹⩛22152⩚⊴⇥↹⩛51311=↹⩛-114224","layer":1},{"info":"↹⩛5333*↹⩛5404=↹⩛51453220","layer":1},{"info":"↹⩛-114224≀⫉↹⩛51453220=↹⩛21022","layer":0}]}
{"id":848,"expression_no_base_symbol":"($1397$⫩⊇)≝⊿($6269$→⨶⪴$2286$)","expression":"(↹⩛10245⫩⊇)≝⊿(↹⩛45005→⨶⪴↹⩛14330)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19,"operation_count":3,"complexity_ratio":6.333333333333333,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1397,"base":6}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":6269,"base":6},"right_expr":{"type":"numeric_atoms","value":2286,"base":6}}},"used_operators":["OKKcZfAt5B","BjRHVeLaeN","bF6eod5Gvf"],"dependent_operators":["12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","9FxExcQeMw"],"result":"↹⩛151150","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1397","layer":2},{"info":"compute unary expreesion, input=1397, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1355","layer":1},{"info":"number node, value=6269","layer":2},{"info":"number node, value=2286","layer":2},{"info":"compute binary expreesion, left_input=6269, right_input=2286, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-6858","layer":1},{"info":"compute binary expreesion, left_input=-1355, right_input=-6858, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=14538","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10245⫩⊇)≝⊿(↹⩛45005→⨶⪴↹⩛14330)=↹⩛151150","reverse_text":"↹⩛151150=(↹⩛10245⫩⊇)≝⊿(↹⩛45005→⨶⪴↹⩛14330)","cot":[{"info":"↹⩛10245⫩⊇=↹⩛-10135","layer":1},{"info":"↹⩛45005→⨶⪴↹⩛14330=↹⩛-51430","layer":1},{"info":"↹⩛-10135≝⊿↹⩛-51430=↹⩛151150","layer":0}]}
{"id":849,"expression_no_base_symbol":"($2203$⋳⪒$1967$)≒∊(⨰⫟⨤$3071$)","expression":"(↹⩛14111⋳⪒↹⩛13035)≒∊(⨰⫟⨤↹⩛22115)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11459,"operation_count":3,"complexity_ratio":3819.6666666666665,"tree":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2203,"base":6},"right_expr":{"type":"numeric_atoms","value":1967,"base":6}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3071,"base":6}}},"used_operators":["5KTvxBwnZo","12rbrZMWeM","Tw270M8GLb"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2203","layer":2},{"info":"number node, value=1967","layer":2},{"info":"compute binary expreesion, left_input=2203, right_input=1967, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2152","layer":1},{"info":"number node, value=3071","layer":2},{"info":"compute unary expreesion, input=3071, 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=2152, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛14111⋳⪒↹⩛13035)≒∊(⨰⫟⨤↹⩛22115)=NaN","reverse_text":"NaN=(↹⩛14111⋳⪒↹⩛13035)≒∊(⨰⫟⨤↹⩛22115)","cot":[{"info":"↹⩛14111⋳⪒↹⩛13035=↹⩛13544","layer":1},{"info":"⨰⫟⨤↹⩛22115=NaN","layer":1},{"info":"↹⩛13544≒∊NaN=NaN","layer":0}]}
{"id":850,"expression_no_base_symbol":"$4631$⩷∴$4152$⫦⪉($6748$↱$1224$)","expression":"↹⩛33235⩷∴↹⩛31120⫦⪉(↹⩛51124↱↹⩛5400)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":75,"operation_count":3,"complexity_ratio":25.0,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4631,"base":6},"right_expr":{"type":"numeric_atoms","value":4152,"base":6}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":6748,"base":6},"right_expr":{"type":"numeric_atoms","value":1224,"base":6}}},"used_operators":["wscyQdcy20","9FxExcQeMw","SR5kFfdi6N"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rysDP5nf3Z","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"↹⩛22040","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4631","layer":2},{"info":"number node, value=4152","layer":2},{"info":"compute binary expreesion, left_input=4631, right_input=4152, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=926","layer":1},{"info":"number node, value=6748","layer":2},{"info":"number node, value=1224","layer":2},{"info":"compute binary expreesion, left_input=6748, right_input=1224, 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=-3150","layer":1},{"info":"compute binary expreesion, left_input=926, right_input=-3150, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=3048","layer":0}],"base":6,"result_base":6,"text":"↹⩛33235⩷∴↹⩛31120⫦⪉(↹⩛51124↱↹⩛5400)=↹⩛22040","reverse_text":"↹⩛22040=↹⩛33235⩷∴↹⩛31120⫦⪉(↹⩛51124↱↹⩛5400)","cot":[{"info":"↹⩛33235⩷∴↹⩛31120=↹⩛4142","layer":1},{"info":"↹⩛51124↱↹⩛5400=↹⩛-22330","layer":1},{"info":"↹⩛4142⫦⪉↹⩛-22330=↹⩛22040","layer":0}]}
{"id":851,"expression_no_base_symbol":"($3298$≧⫂∧$1922$)∓⋝$1153$↹⊜$1453$","expression":"(↹⩛23134≧⫂∧↹⩛12522)∓⋝↹⩛5201↹⊜↹⩛10421","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":63,"operation_count":3,"complexity_ratio":21.0,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3298,"base":6},"right_expr":{"type":"numeric_atoms","value":1922,"base":6}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1153,"base":6},"right_expr":{"type":"numeric_atoms","value":1453,"base":6}}},"used_operators":["PoHhknlbAi","Ph9nP6C5qx","9bazX3JMtO"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"↹⩛151","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3298","layer":2},{"info":"number node, value=1922","layer":2},{"info":"compute binary expreesion, left_input=3298, right_input=1922, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1449","layer":1},{"info":"number node, value=1153","layer":2},{"info":"number node, value=1453","layer":2},{"info":"compute binary expreesion, left_input=1153, right_input=1453, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-3602","layer":1},{"info":"compute binary expreesion, left_input=1449, right_input=-3602, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":0}],"base":6,"result_base":6,"text":"(↹⩛23134≧⫂∧↹⩛12522)∓⋝↹⩛5201↹⊜↹⩛10421=↹⩛151","reverse_text":"↹⩛151=(↹⩛23134≧⫂∧↹⩛12522)∓⋝↹⩛5201↹⊜↹⩛10421","cot":[{"info":"↹⩛23134≧⫂∧↹⩛12522=↹⩛10413","layer":1},{"info":"↹⩛5201↹⊜↹⩛10421=↹⩛-24402","layer":1},{"info":"↹⩛10413∓⋝↹⩛-24402=↹⩛151","layer":0}]}
{"id":852,"expression_no_base_symbol":"$6230$≬⇓$3514$⪄(⨰⫟⨤$5075$)","expression":"↹⩛44502≬⇓↹⩛24134⪄(⨰⫟⨤↹⩛35255)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19506,"operation_count":3,"complexity_ratio":6502.0,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":6230,"base":6},"right_expr":{"type":"numeric_atoms","value":3514,"base":6}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":5075,"base":6}}},"used_operators":["SUmda5xLS4","jWTQ2TZYIH","Tw270M8GLb"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"↹⩛30231","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=6230","layer":2},{"info":"number node, value=3514","layer":2},{"info":"compute binary expreesion, left_input=6230, right_input=3514, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":1},{"info":"number node, value=5075","layer":2},{"info":"compute unary expreesion, input=5075, 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=-22, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":6,"result_base":6,"text":"↹⩛44502≬⇓↹⩛24134⪄(⨰⫟⨤↹⩛35255)=↹⩛30231","reverse_text":"↹⩛30231=↹⩛44502≬⇓↹⩛24134⪄(⨰⫟⨤↹⩛35255)","cot":[{"info":"↹⩛44502≬⇓↹⩛24134=↹⩛-34","layer":1},{"info":"⨰⫟⨤↹⩛35255=NaN","layer":1},{"info":"↹⩛-34⪄NaN=↹⩛30231","layer":0}]}
{"id":853,"expression_no_base_symbol":"≸$2586$∋$2411$","expression":"≸↹⩛15550∋↹⩛15055","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":169,"operation_count":2,"complexity_ratio":84.5,"tree":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":2586,"base":6},"right_expr":{"type":"numeric_atoms","value":2411,"base":6}}},"used_operators":["eOf03JbCpp","ukq6epAj5P"],"dependent_operators":["WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"↹⩛134","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2586","layer":2},{"info":"number node, value=2411","layer":2},{"info":"compute binary expreesion, left_input=2586, right_input=2411, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=5076392","layer":1},{"info":"compute unary expreesion, input=5076392, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":0}],"base":6,"result_base":6,"text":"≸↹⩛15550∋↹⩛15055=↹⩛134","reverse_text":"↹⩛134=≸↹⩛15550∋↹⩛15055","cot":[{"info":"↹⩛15550∋↹⩛15055=↹⩛300445452","layer":1},{"info":"≸↹⩛300445452=↹⩛134","layer":0}]}
{"id":854,"expression_no_base_symbol":"($1166$⩢≌)⩧⪆$1627$⇂≾⫗$1296$","expression":"(↹⩛5222⩢≌)⩧⪆↹⩛11311⇂≾⫗↹⩛10000","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":291,"operation_count":3,"complexity_ratio":97.0,"tree":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":1166,"base":6}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1627,"base":6},"right_expr":{"type":"numeric_atoms","value":1296,"base":6}}},"used_operators":["Ikt5ks8PT7","D617RFjZIq","aBQ6xLxuTc"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","hTbEZDJLEm","o20kRiQErp","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"↹⩛3044","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1166","layer":2},{"info":"compute unary expreesion, input=1166, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":1},{"info":"number node, value=1627","layer":2},{"info":"number node, value=1296","layer":2},{"info":"compute binary expreesion, left_input=1627, right_input=1296, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=-676, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=676","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5222⩢≌)⩧⪆↹⩛11311⇂≾⫗↹⩛10000=↹⩛3044","reverse_text":"↹⩛3044=(↹⩛5222⩢≌)⩧⪆↹⩛11311⇂≾⫗↹⩛10000","cot":[{"info":"↹⩛5222⩢≌=↹⩛305","layer":1},{"info":"↹⩛11311⇂≾⫗↹⩛10000=↹⩛-3044","layer":1},{"info":"↹⩛305⩧⪆↹⩛-3044=↹⩛3044","layer":0}]}
{"id":855,"expression_no_base_symbol":"($3141$∣$3895$)∋($3277$⊍)","expression":"(↹⩛22313∣↹⩛30011)∋(↹⩛23101⊍)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":125,"operation_count":3,"complexity_ratio":41.666666666666664,"tree":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":3141,"base":6},"right_expr":{"type":"numeric_atoms","value":3895,"base":6}},"right_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":3277,"base":6}}},"used_operators":["ukq6epAj5P","PPChnnnBFF","3nqY3DE9mg"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM"],"result":"↹⩛1404200524","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3141","layer":2},{"info":"number node, value=3895","layer":2},{"info":"compute binary expreesion, left_input=3141, right_input=3895, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=3141","layer":1},{"info":"number node, value=3277","layer":2},{"info":"compute unary expreesion, input=3277, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=8151","layer":1},{"info":"compute binary expreesion, left_input=3141, right_input=8151, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=16998532","layer":0}],"base":6,"result_base":6,"text":"(↹⩛22313∣↹⩛30011)∋(↹⩛23101⊍)=↹⩛1404200524","reverse_text":"↹⩛1404200524=(↹⩛22313∣↹⩛30011)∋(↹⩛23101⊍)","cot":[{"info":"↹⩛22313∣↹⩛30011=↹⩛22313","layer":1},{"info":"↹⩛23101⊍=↹⩛101423","layer":1},{"info":"↹⩛22313∋↹⩛101423=↹⩛1404200524","layer":0}]}
{"id":856,"expression_no_base_symbol":"$2411$⨳⩥⨓$3876$↺$3894$≒∊$1895$","expression":"↹⩛15055⨳⩥⨓↹⩛25540↺↹⩛30010≒∊↹⩛12435","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2411,"base":6},"right_expr":{"type":"numeric_atoms","value":3876,"base":6}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":3894,"base":6},"right_expr":{"type":"numeric_atoms","value":1895,"base":6}}},"used_operators":["7j4O788W3g","nCS4ZIUYfx","5KTvxBwnZo"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"↹⩛-23442","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2411","layer":2},{"info":"number node, value=3876","layer":2},{"info":"compute binary expreesion, left_input=2411, right_input=3876, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1465","layer":1},{"info":"number node, value=3894","layer":2},{"info":"number node, value=1895","layer":2},{"info":"compute binary expreesion, left_input=3894, right_input=1895, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-3410","layer":1},{"info":"compute binary expreesion, left_input=1465, right_input=-3410, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-3410","layer":0}],"base":6,"result_base":6,"text":"↹⩛15055⨳⩥⨓↹⩛25540↺↹⩛30010≒∊↹⩛12435=↹⩛-23442","reverse_text":"↹⩛-23442=↹⩛15055⨳⩥⨓↹⩛25540↺↹⩛30010≒∊↹⩛12435","cot":[{"info":"↹⩛15055⨳⩥⨓↹⩛25540=↹⩛10441","layer":1},{"info":"↹⩛30010≒∊↹⩛12435=↹⩛-23442","layer":1},{"info":"↹⩛10441↺↹⩛-23442=↹⩛-23442","layer":0}]}
{"id":857,"expression_no_base_symbol":"⨆≐≲(⫎≠⋺$1010$)","expression":"⨆≐≲(⫎≠⋺↹⩛4402)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":61,"operation_count":2,"complexity_ratio":30.5,"tree":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":1010,"base":6}}},"used_operators":["Bi9z9uYZqW","LYeZOJ0nQG"],"dependent_operators":["SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C"],"result":"↹⩛-3320552","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1010","layer":2},{"info":"compute unary expreesion, input=1010, 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 = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-166100","layer":0}],"base":6,"result_base":6,"text":"⨆≐≲(⫎≠⋺↹⩛4402)=↹⩛-3320552","reverse_text":"↹⩛-3320552=⨆≐≲(⫎≠⋺↹⩛4402)","cot":[{"info":"⫎≠⋺↹⩛4402=↹⩛0","layer":1},{"info":"⨆≐≲↹⩛0=↹⩛-3320552","layer":0}]}
{"id":858,"expression_no_base_symbol":"($2024$⨚⇆$2737$)≁↽≥($2925$⪍↜⋙$8324$)","expression":"(↹⩛13212⨚⇆↹⩛20401)≁↽≥(↹⩛21313⪍↜⋙↹⩛102312)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":46306,"operation_count":3,"complexity_ratio":15435.333333333334,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2024,"base":6},"right_expr":{"type":"numeric_atoms","value":2737,"base":6}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2925,"base":6},"right_expr":{"type":"numeric_atoms","value":8324,"base":6}}},"used_operators":["ncHt1X6cMc","lwHaAYXP2r","L05ObWFQCd"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"↹⩛524","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2024","layer":2},{"info":"number node, value=2737","layer":2},{"info":"compute binary expreesion, left_input=2024, right_input=2737, 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=2925","layer":2},{"info":"number node, value=8324","layer":2},{"info":"compute binary expreesion, left_input=2925, right_input=8324, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-32056","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-32056, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":0}],"base":6,"result_base":6,"text":"(↹⩛13212⨚⇆↹⩛20401)≁↽≥(↹⩛21313⪍↜⋙↹⩛102312)=↹⩛524","reverse_text":"↹⩛524=(↹⩛13212⨚⇆↹⩛20401)≁↽≥(↹⩛21313⪍↜⋙↹⩛102312)","cot":[{"info":"↹⩛13212⨚⇆↹⩛20401=NaN","layer":1},{"info":"↹⩛21313⪍↜⋙↹⩛102312=↹⩛-404224","layer":1},{"info":"NaN≁↽≥↹⩛-404224=↹⩛524","layer":0}]}
{"id":859,"expression_no_base_symbol":"($2210$⇴∐$2237$)⫣⪄⊒($3421$≳⇉$3326$)","expression":"(↹⩛14122⇴∐↹⩛14205)⫣⪄⊒(↹⩛23501≳⇉↹⩛23222)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":155254451,"operation_count":3,"complexity_ratio":51751483.666666664,"tree":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2210,"base":6},"right_expr":{"type":"numeric_atoms","value":2237,"base":6}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":3421,"base":6},"right_expr":{"type":"numeric_atoms","value":3326,"base":6}}},"used_operators":["RabNbG55vr","HnzytWxmAO","V0kx6qeWkN"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2210","layer":2},{"info":"number node, value=2237","layer":2},{"info":"compute binary expreesion, left_input=2210, right_input=2237, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"number node, value=3421","layer":2},{"info":"number node, value=3326","layer":2},{"info":"compute binary expreesion, left_input=3421, right_input=3326, 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 = 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":6,"result_base":6,"text":"(↹⩛14122⇴∐↹⩛14205)⫣⪄⊒(↹⩛23501≳⇉↹⩛23222)=↹⩛424","reverse_text":"↹⩛424=(↹⩛14122⇴∐↹⩛14205)⫣⪄⊒(↹⩛23501≳⇉↹⩛23222)","cot":[{"info":"↹⩛14122⇴∐↹⩛14205=NaN","layer":1},{"info":"↹⩛23501≳⇉↹⩛23222=NaN","layer":1},{"info":"NaN⫣⪄⊒NaN=↹⩛424","layer":0}]}
{"id":860,"expression_no_base_symbol":"$7536$∖$3894$↰","expression":"↹⩛54520∖↹⩛30010↰","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":495,"operation_count":2,"complexity_ratio":247.5,"tree":{"type":"unary","operator":"↰","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":7536,"base":6},"right_expr":{"type":"numeric_atoms","value":3894,"base":6}}},"used_operators":["bl5wxAcryP","tXD093vOjl"],"dependent_operators":["nCS4ZIUYfx","Z2TMIBDE3Q","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"↹⩛-245","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7536","layer":2},{"info":"number node, value=3894","layer":2},{"info":"compute binary expreesion, left_input=7536, right_input=3894, 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 = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=-101","layer":0}],"base":6,"result_base":6,"text":"↹⩛54520∖↹⩛30010↰=↹⩛-245","reverse_text":"↹⩛-245=↹⩛54520∖↹⩛30010↰","cot":[{"info":"↹⩛54520∖↹⩛30010=↹⩛0","layer":1},{"info":"↹⩛0↰=↹⩛-245","layer":0}]}
{"id":861,"expression_no_base_symbol":"$3682$⪟⇏$1065$≬⇓$1713$⩁⩘$1096$","expression":"↹⩛25014⪟⇏↹⩛4533≬⇓↹⩛11533⩁⩘↹⩛5024","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":65,"operation_count":3,"complexity_ratio":21.666666666666668,"tree":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":3682,"base":6},"right_expr":{"type":"numeric_atoms","value":1065,"base":6}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1713,"base":6},"right_expr":{"type":"numeric_atoms","value":1096,"base":6}}},"used_operators":["jWTQ2TZYIH","GODebY97qR","gub5Cegaqo"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","DpFCA1CohY","IWmyXbctLI"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3682","layer":2},{"info":"number node, value=1065","layer":2},{"info":"compute binary expreesion, left_input=3682, right_input=1065, 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=1713","layer":2},{"info":"number node, value=1096","layer":2},{"info":"compute binary expreesion, left_input=1713, right_input=1096, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=5332","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=5332, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"↹⩛25014⪟⇏↹⩛4533≬⇓↹⩛11533⩁⩘↹⩛5024=↹⩛0","reverse_text":"↹⩛0=↹⩛25014⪟⇏↹⩛4533≬⇓↹⩛11533⩁⩘↹⩛5024","cot":[{"info":"↹⩛25014⪟⇏↹⩛4533=↹⩛-1","layer":1},{"info":"↹⩛11533⩁⩘↹⩛5024=↹⩛40404","layer":1},{"info":"↹⩛-1≬⇓↹⩛40404=↹⩛0","layer":0}]}
{"id":862,"expression_no_base_symbol":"($1004$⇉⇉)∘($3911$⊍⩺⋍$3243$)","expression":"(↹⩛4352⇉⇉)∘(↹⩛30035⊍⩺⋍↹⩛23003)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":268,"operation_count":3,"complexity_ratio":89.33333333333333,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":1004,"base":6}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3911,"base":6},"right_expr":{"type":"numeric_atoms","value":3243,"base":6}}},"used_operators":["Z5m6OM72h2","diKm42VcIt","OXDGMFPWZM"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"↹⩛-2143344","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1004","layer":2},{"info":"compute unary expreesion, input=1004, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-53528","layer":1},{"info":"number node, value=3911","layer":2},{"info":"number node, value=3243","layer":2},{"info":"compute binary expreesion, left_input=3911, right_input=3243, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-53528, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-107056","layer":0}],"base":6,"result_base":6,"text":"(↹⩛4352⇉⇉)∘(↹⩛30035⊍⩺⋍↹⩛23003)=↹⩛-2143344","reverse_text":"↹⩛-2143344=(↹⩛4352⇉⇉)∘(↹⩛30035⊍⩺⋍↹⩛23003)","cot":[{"info":"↹⩛4352⇉⇉=↹⩛-1051452","layer":1},{"info":"↹⩛30035⊍⩺⋍↹⩛23003=NaN","layer":1},{"info":"↹⩛-1051452∘NaN=↹⩛-2143344","layer":0}]}
{"id":863,"expression_no_base_symbol":"($8636$⨐⩸⫘$4264$)≧⫂∧$1171$⨂≜$2751$","expression":"(↹⩛103552⨐⩸⫘↹⩛31424)≧⫂∧↹⩛5231⨂≜↹⩛20423","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1206,"operation_count":3,"complexity_ratio":402.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":8636,"base":6},"right_expr":{"type":"numeric_atoms","value":4264,"base":6}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1171,"base":6},"right_expr":{"type":"numeric_atoms","value":2751,"base":6}}},"used_operators":["Ph9nP6C5qx","fu6greOZ01","k1SHOSEABc"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=8636","layer":2},{"info":"number node, value=4264","layer":2},{"info":"compute binary expreesion, left_input=8636, right_input=4264, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1171","layer":2},{"info":"number node, value=2751","layer":2},{"info":"compute binary expreesion, left_input=1171, right_input=2751, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛103552⨐⩸⫘↹⩛31424)≧⫂∧↹⩛5231⨂≜↹⩛20423=NaN","reverse_text":"NaN=(↹⩛103552⨐⩸⫘↹⩛31424)≧⫂∧↹⩛5231⨂≜↹⩛20423","cot":[{"info":"↹⩛103552⨐⩸⫘↹⩛31424=NaN","layer":1},{"info":"↹⩛5231⨂≜↹⩛20423=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":864,"expression_no_base_symbol":"($3001$⋷$4670$)≁↽≥($2972$⨁⊸⫻)","expression":"(↹⩛21521⋷↹⩛33342)≁↽≥(↹⩛21432⨁⊸⫻)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":28,"operation_count":3,"complexity_ratio":9.333333333333334,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3001,"base":6},"right_expr":{"type":"numeric_atoms","value":4670,"base":6}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2972,"base":6}}},"used_operators":["ncHt1X6cMc","23Mk6UjR3U","glklzrTFfD"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"↹⩛1503323","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3001","layer":2},{"info":"number node, value=4670","layer":2},{"info":"compute binary expreesion, left_input=3001, right_input=4670, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6339","layer":1},{"info":"number node, value=2972","layer":2},{"info":"compute unary expreesion, input=2972, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2972","layer":1},{"info":"compute binary expreesion, left_input=6339, right_input=2972, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=86307","layer":0}],"base":6,"result_base":6,"text":"(↹⩛21521⋷↹⩛33342)≁↽≥(↹⩛21432⨁⊸⫻)=↹⩛1503323","reverse_text":"↹⩛1503323=(↹⩛21521⋷↹⩛33342)≁↽≥(↹⩛21432⨁⊸⫻)","cot":[{"info":"↹⩛21521⋷↹⩛33342=↹⩛45203","layer":1},{"info":"↹⩛21432⨁⊸⫻=↹⩛21432","layer":1},{"info":"↹⩛45203≁↽≥↹⩛21432=↹⩛1503323","layer":0}]}
{"id":865,"expression_no_base_symbol":"≇⪴($5337$∙⊟$1213$)","expression":"≇⪴(↹⩛40413∙⊟↹⩛5341)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5415,"operation_count":2,"complexity_ratio":2707.5,"tree":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":5337,"base":6},"right_expr":{"type":"numeric_atoms","value":1213,"base":6}}},"used_operators":["zoVPnxeHJ3","SxTAKzQCrw"],"dependent_operators":["7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"↹⩛-5022101","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5337","layer":2},{"info":"number node, value=1213","layer":2},{"info":"compute binary expreesion, left_input=5337, right_input=1213, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=79227","layer":1},{"info":"compute unary expreesion, input=79227, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-236341","layer":0}],"base":6,"result_base":6,"text":"≇⪴(↹⩛40413∙⊟↹⩛5341)=↹⩛-5022101","reverse_text":"↹⩛-5022101=≇⪴(↹⩛40413∙⊟↹⩛5341)","cot":[{"info":"↹⩛40413∙⊟↹⩛5341=↹⩛1410443","layer":1},{"info":"≇⪴↹⩛1410443=↹⩛-5022101","layer":0}]}
{"id":866,"expression_no_base_symbol":"($1230$⩖⊿$3445$)⫁($4075$⫸⊐$3173$)","expression":"(↹⩛5410⩖⊿↹⩛23541)⫁(↹⩛30511⫸⊐↹⩛22405)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":149,"operation_count":3,"complexity_ratio":49.666666666666664,"tree":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1230,"base":6},"right_expr":{"type":"numeric_atoms","value":3445,"base":6}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4075,"base":6},"right_expr":{"type":"numeric_atoms","value":3173,"base":6}}},"used_operators":["0ajvFaJAv0","RZ5CV9rWsJ","mqXw5SEYmG"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1230","layer":2},{"info":"number node, value=3445","layer":2},{"info":"compute binary expreesion, left_input=1230, right_input=3445, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=22558","layer":1},{"info":"number node, value=4075","layer":2},{"info":"number node, value=3173","layer":2},{"info":"compute binary expreesion, left_input=4075, right_input=3173, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12567","layer":1},{"info":"compute binary expreesion, left_input=22558, right_input=12567, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5410⩖⊿↹⩛23541)⫁(↹⩛30511⫸⊐↹⩛22405)=↹⩛424","reverse_text":"↹⩛424=(↹⩛5410⩖⊿↹⩛23541)⫁(↹⩛30511⫸⊐↹⩛22405)","cot":[{"info":"↹⩛5410⩖⊿↹⩛23541=↹⩛252234","layer":1},{"info":"↹⩛30511⫸⊐↹⩛22405=↹⩛134103","layer":1},{"info":"↹⩛252234⫁↹⩛134103=↹⩛424","layer":0}]}
{"id":867,"expression_no_base_symbol":"($8225$⊍)∁","expression":"(↹⩛102025⊍)∁","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":17,"operation_count":2,"complexity_ratio":8.5,"tree":{"type":"unary","operator":"∁","unary_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":8225,"base":6}}},"used_operators":["jdwGQqwJi5","3nqY3DE9mg"],"dependent_operators":["2DDjHMKMc0","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM"],"result":"↹⩛254243","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=8225","layer":2},{"info":"compute unary expreesion, input=8225, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=22995","layer":1},{"info":"compute unary expreesion, input=22995, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=22995","layer":0}],"base":6,"result_base":6,"text":"(↹⩛102025⊍)∁=↹⩛254243","reverse_text":"↹⩛254243=(↹⩛102025⊍)∁","cot":[{"info":"↹⩛102025⊍=↹⩛254243","layer":1},{"info":"↹⩛254243∁=↹⩛254243","layer":0}]}
{"id":868,"expression_no_base_symbol":"(⊖$1024$)⫥∨⫟$8193$⊬⨰$1945$","expression":"(⊖↹⩛4424)⫥∨⫟↹⩛101533⊬⨰↹⩛13001","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":173,"operation_count":3,"complexity_ratio":57.666666666666664,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":1024,"base":6}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":8193,"base":6},"right_expr":{"type":"numeric_atoms","value":1945,"base":6}}},"used_operators":["KYD54nUTWz","U6pG0PXrV3","s3Fd5m9Dh2"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1024","layer":2},{"info":"compute unary expreesion, input=1024, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":1},{"info":"number node, value=8193","layer":2},{"info":"number node, value=1945","layer":2},{"info":"compute binary expreesion, left_input=8193, right_input=1945, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=14917","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=14917, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⊖↹⩛4424)⫥∨⫟↹⩛101533⊬⨰↹⩛13001=NaN","reverse_text":"NaN=(⊖↹⩛4424)⫥∨⫟↹⩛101533⊬⨰↹⩛13001","cot":[{"info":"⊖↹⩛4424=↹⩛0","layer":1},{"info":"↹⩛101533⊬⨰↹⩛13001=↹⩛153021","layer":1},{"info":"↹⩛0⫥∨⫟↹⩛153021=NaN","layer":0}]}
{"id":869,"expression_no_base_symbol":"⇘$1410$⫣⪄⊒$7275$","expression":"⇘↹⩛10310⫣⪄⊒↹⩛53403","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":82755,"operation_count":2,"complexity_ratio":41377.5,"tree":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1410,"base":6},"right_expr":{"type":"numeric_atoms","value":7275,"base":6}}},"used_operators":["MGuIdZPyUC","RabNbG55vr"],"dependent_operators":["eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1410","layer":2},{"info":"number node, value=7275","layer":2},{"info":"compute binary expreesion, left_input=1410, right_input=7275, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-41342","layer":1},{"info":"compute unary expreesion, input=-41342, 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":6,"result_base":6,"text":"⇘↹⩛10310⫣⪄⊒↹⩛53403=NaN","reverse_text":"NaN=⇘↹⩛10310⫣⪄⊒↹⩛53403","cot":[{"info":"↹⩛10310⫣⪄⊒↹⩛53403=↹⩛-515222","layer":1},{"info":"⇘↹⩛-515222=NaN","layer":0}]}
{"id":870,"expression_no_base_symbol":"($3270$⩨$9058$)⫲≸⪮($2565$/$2125$)","expression":"(↹⩛23050⩨↹⩛105534)⫲≸⪮(↹⩛15513/↹⩛13501)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3270,"base":6},"right_expr":{"type":"numeric_atoms","value":9058,"base":6}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2565,"base":6},"right_expr":{"type":"numeric_atoms","value":2125,"base":6}}},"used_operators":["P3lXMJvFrc","2DlMacCsIx","XhwjNDsVaA"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z"],"result":"↹⩛-10","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3270","layer":2},{"info":"number node, value=9058","layer":2},{"info":"compute binary expreesion, left_input=3270, right_input=9058, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":1},{"info":"number node, value=2565","layer":2},{"info":"number node, value=2125","layer":2},{"info":"compute binary expreesion, left_input=2565, right_input=2125, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"compute binary expreesion, left_input=-6, right_input=1, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-6","layer":0}],"base":6,"result_base":6,"text":"(↹⩛23050⩨↹⩛105534)⫲≸⪮(↹⩛15513/↹⩛13501)=↹⩛-10","reverse_text":"↹⩛-10=(↹⩛23050⩨↹⩛105534)⫲≸⪮(↹⩛15513/↹⩛13501)","cot":[{"info":"↹⩛23050⩨↹⩛105534=↹⩛-10","layer":1},{"info":"↹⩛15513/↹⩛13501=↹⩛1","layer":1},{"info":"↹⩛-10⫲≸⪮↹⩛1=↹⩛-10","layer":0}]}
{"id":871,"expression_no_base_symbol":"($1870$≦↸$1276$)⩦($3536$⪭≯$1133$)","expression":"(↹⩛12354≦↸↹⩛5524)⩦(↹⩛24212⪭≯↹⩛5125)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":221,"operation_count":3,"complexity_ratio":73.66666666666667,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1870,"base":6},"right_expr":{"type":"numeric_atoms","value":1276,"base":6}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":3536,"base":6},"right_expr":{"type":"numeric_atoms","value":1133,"base":6}}},"used_operators":["0kmYd0q39Y","RygbFNSyEJ","XAx5wpdLa6"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1870","layer":2},{"info":"number node, value=1276","layer":2},{"info":"compute binary expreesion, left_input=1870, right_input=1276, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-5611","layer":1},{"info":"number node, value=3536","layer":2},{"info":"number node, value=1133","layer":2},{"info":"compute binary expreesion, left_input=3536, right_input=1133, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-5611, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛12354≦↸↹⩛5524)⩦(↹⩛24212⪭≯↹⩛5125)=NaN","reverse_text":"NaN=(↹⩛12354≦↸↹⩛5524)⩦(↹⩛24212⪭≯↹⩛5125)","cot":[{"info":"↹⩛12354≦↸↹⩛5524=↹⩛-41551","layer":1},{"info":"↹⩛24212⪭≯↹⩛5125=NaN","layer":1},{"info":"↹⩛-41551⩦NaN=NaN","layer":0}]}
{"id":872,"expression_no_base_symbol":"⊀$1335$⊉↱≁$1357$","expression":"⊀↹⩛10103⊉↱≁↹⩛10141","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":42,"operation_count":2,"complexity_ratio":21.0,"tree":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1335,"base":6},"right_expr":{"type":"numeric_atoms","value":1357,"base":6}}},"used_operators":["oPMjh9089D","w2P8NbNXyL"],"dependent_operators":["Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"↹⩛234134","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1335","layer":2},{"info":"number node, value=1357","layer":2},{"info":"compute binary expreesion, left_input=1335, right_input=1357, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=5156","layer":1},{"info":"compute unary expreesion, input=5156, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=20362","layer":0}],"base":6,"result_base":6,"text":"⊀↹⩛10103⊉↱≁↹⩛10141=↹⩛234134","reverse_text":"↹⩛234134=⊀↹⩛10103⊉↱≁↹⩛10141","cot":[{"info":"↹⩛10103⊉↱≁↹⩛10141=↹⩛35512","layer":1},{"info":"⊀↹⩛35512=↹⩛234134","layer":0}]}
{"id":873,"expression_no_base_symbol":"(⨝⨆$1203$)⋭≵$1012$⇡⇂$3748$","expression":"(⨝⨆↹⩛5323)⋭≵↹⩛4404⇡⇂↹⩛25204","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":22301,"operation_count":3,"complexity_ratio":7433.666666666667,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1203,"base":6}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1012,"base":6},"right_expr":{"type":"numeric_atoms","value":3748,"base":6}}},"used_operators":["jBncVCNhdl","bQ67fsrMVf","UMwdvZNt44"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","tifHPKVTfV","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"↹⩛34453","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1203","layer":2},{"info":"compute unary expreesion, input=1203, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=994","layer":1},{"info":"number node, value=1012","layer":2},{"info":"number node, value=3748","layer":2},{"info":"compute binary expreesion, left_input=1012, right_input=3748, 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=994, 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=4929","layer":0}],"base":6,"result_base":6,"text":"(⨝⨆↹⩛5323)⋭≵↹⩛4404⇡⇂↹⩛25204=↹⩛34453","reverse_text":"↹⩛34453=(⨝⨆↹⩛5323)⋭≵↹⩛4404⇡⇂↹⩛25204","cot":[{"info":"⨝⨆↹⩛5323=↹⩛4334","layer":1},{"info":"↹⩛4404⇡⇂↹⩛25204=NaN","layer":1},{"info":"↹⩛4334⋭≵NaN=↹⩛34453","layer":0}]}
{"id":874,"expression_no_base_symbol":"(↩⪖$2052$)⊕∕($4449$⊴⇁⪶)","expression":"(↩⪖↹⩛13300)⊕∕(↹⩛32333⊴⇁⪶)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4625,"operation_count":3,"complexity_ratio":1541.6666666666667,"tree":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":2052,"base":6}},"right_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":4449,"base":6}}},"used_operators":["9cloC0Ngie","fG6uBQFnGz","oo9mF6JIpo"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE"],"result":"↹⩛-154450","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2052","layer":2},{"info":"compute unary expreesion, input=2052, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-15294","layer":1},{"info":"number node, value=4449","layer":2},{"info":"compute unary expreesion, input=4449, 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=90200","layer":1},{"info":"compute binary expreesion, left_input=-15294, right_input=90200, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-15294","layer":0}],"base":6,"result_base":6,"text":"(↩⪖↹⩛13300)⊕∕(↹⩛32333⊴⇁⪶)=↹⩛-154450","reverse_text":"↹⩛-154450=(↩⪖↹⩛13300)⊕∕(↹⩛32333⊴⇁⪶)","cot":[{"info":"↩⪖↹⩛13300=↹⩛-154450","layer":1},{"info":"↹⩛32333⊴⇁⪶=↹⩛1533332","layer":1},{"info":"↹⩛-154450⊕∕↹⩛1533332=↹⩛-154450","layer":0}]}
{"id":875,"expression_no_base_symbol":"($3494$∛$3030$)⫁($2861$⨱∎)","expression":"(↹⩛24102∛↹⩛22010)⫁(↹⩛21125⨱∎)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":177,"operation_count":3,"complexity_ratio":59.0,"tree":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":3494,"base":6},"right_expr":{"type":"numeric_atoms","value":3030,"base":6}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":2861,"base":6}}},"used_operators":["0ajvFaJAv0","w2537kitQq","MmTdOpaElr"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","tifHPKVTfV"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3494","layer":2},{"info":"number node, value=3030","layer":2},{"info":"compute binary expreesion, left_input=3494, right_input=3030, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":1},{"info":"number node, value=2861","layer":2},{"info":"compute unary expreesion, input=2861, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-670, right_input=0, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":6,"result_base":6,"text":"(↹⩛24102∛↹⩛22010)⫁(↹⩛21125⨱∎)=↹⩛424","reverse_text":"↹⩛424=(↹⩛24102∛↹⩛22010)⫁(↹⩛21125⨱∎)","cot":[{"info":"↹⩛24102∛↹⩛22010=↹⩛-3034","layer":1},{"info":"↹⩛21125⨱∎=↹⩛0","layer":1},{"info":"↹⩛-3034⫁↹⩛0=↹⩛424","layer":0}]}
{"id":876,"expression_no_base_symbol":"$2995$⫞⩸⩒$1954$+⇶⊼$2060$⨪↰⇹$3714$","expression":"↹⩛21511⫞⩸⩒↹⩛13014+⇶⊼↹⩛13312⨪↰⇹↹⩛25110","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2077,"operation_count":3,"complexity_ratio":692.3333333333334,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":2995,"base":6},"right_expr":{"type":"numeric_atoms","value":1954,"base":6}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2060,"base":6},"right_expr":{"type":"numeric_atoms","value":3714,"base":6}}},"used_operators":["TpPTUOHfaN","XGcMNugi78","tmPS8pqC7x"],"dependent_operators":["AHs5Up7iyr","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2995","layer":2},{"info":"number node, value=1954","layer":2},{"info":"compute binary expreesion, left_input=2995, right_input=1954, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1954","layer":1},{"info":"number node, value=2060","layer":2},{"info":"number node, value=3714","layer":2},{"info":"compute binary expreesion, left_input=2060, right_input=3714, 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=2060","layer":1},{"info":"compute binary expreesion, left_input=1954, right_input=2060, 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":6,"result_base":6,"text":"↹⩛21511⫞⩸⩒↹⩛13014+⇶⊼↹⩛13312⨪↰⇹↹⩛25110=NaN","reverse_text":"NaN=↹⩛21511⫞⩸⩒↹⩛13014+⇶⊼↹⩛13312⨪↰⇹↹⩛25110","cot":[{"info":"↹⩛21511⫞⩸⩒↹⩛13014=↹⩛13014","layer":1},{"info":"↹⩛13312⨪↰⇹↹⩛25110=↹⩛13312","layer":1},{"info":"↹⩛13014+⇶⊼↹⩛13312=NaN","layer":0}]}
{"id":877,"expression_no_base_symbol":"($6660$∧)∋($3242$∙⊟$1086$)","expression":"(↹⩛50500∧)∋(↹⩛23002∙⊟↹⩛5010)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3428,"operation_count":3,"complexity_ratio":1142.6666666666667,"tree":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":6660,"base":6}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":3242,"base":6},"right_expr":{"type":"numeric_atoms","value":1086,"base":6}}},"used_operators":["ukq6epAj5P","z63VuFQld9","SxTAKzQCrw"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6660","layer":2},{"info":"compute unary expreesion, input=6660, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"number node, value=3242","layer":2},{"info":"number node, value=1086","layer":2},{"info":"compute binary expreesion, left_input=3242, right_input=1086, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=51992","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=51992, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛50500∧)∋(↹⩛23002∙⊟↹⩛5010)=NaN","reverse_text":"NaN=(↹⩛50500∧)∋(↹⩛23002∙⊟↹⩛5010)","cot":[{"info":"↹⩛50500∧=NaN","layer":1},{"info":"↹⩛23002∙⊟↹⩛5010=↹⩛1040412","layer":1},{"info":"NaN∋↹⩛1040412=NaN","layer":0}]}
{"id":878,"expression_no_base_symbol":"$1612$⇮⋭$2208$*(⊊≼∋$5414$)","expression":"↹⩛11244⇮⋭↹⩛14120*(⊊≼∋↹⩛41022)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5935,"operation_count":3,"complexity_ratio":1978.3333333333333,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1612,"base":6},"right_expr":{"type":"numeric_atoms","value":2208,"base":6}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":5414,"base":6}}},"used_operators":["9HNa5Wba9A","vkpjKywKVM","FWz7pXsQhA"],"dependent_operators":["W4YGzv6Whe","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","B5M0gjZbta","jCPkEVoL5K"],"result":"↹⩛4310503","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1612","layer":2},{"info":"number node, value=2208","layer":2},{"info":"compute binary expreesion, left_input=1612, right_input=2208, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":1},{"info":"number node, value=5414","layer":2},{"info":"compute unary expreesion, input=5414, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=-473, right_input=-447, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=211431","layer":0}],"base":6,"result_base":6,"text":"↹⩛11244⇮⋭↹⩛14120*(⊊≼∋↹⩛41022)=↹⩛4310503","reverse_text":"↹⩛4310503=↹⩛11244⇮⋭↹⩛14120*(⊊≼∋↹⩛41022)","cot":[{"info":"↹⩛11244⇮⋭↹⩛14120=↹⩛-2105","layer":1},{"info":"⊊≼∋↹⩛41022=↹⩛-2023","layer":1},{"info":"↹⩛-2105*↹⩛-2023=↹⩛4310503","layer":0}]}
{"id":879,"expression_no_base_symbol":"$1218$⋳⪒$4834$↸$5986$⩺⪪$1401$","expression":"↹⩛5350⋳⪒↹⩛34214↸↹⩛43414⩺⪪↹⩛10253","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2820,"operation_count":3,"complexity_ratio":940.0,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1218,"base":6},"right_expr":{"type":"numeric_atoms","value":4834,"base":6}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":5986,"base":6},"right_expr":{"type":"numeric_atoms","value":1401,"base":6}}},"used_operators":["1eCjFl0mb9","12rbrZMWeM","uvdQJvN4PV"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"↹⩛-20233","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1218","layer":2},{"info":"number node, value=4834","layer":2},{"info":"compute binary expreesion, left_input=1218, right_input=4834, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2685","layer":1},{"info":"number node, value=5986","layer":2},{"info":"number node, value=1401","layer":2},{"info":"compute binary expreesion, left_input=5986, right_input=1401, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-74258","layer":1},{"info":"compute binary expreesion, left_input=-2685, right_input=-74258, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-2685","layer":0}],"base":6,"result_base":6,"text":"↹⩛5350⋳⪒↹⩛34214↸↹⩛43414⩺⪪↹⩛10253=↹⩛-20233","reverse_text":"↹⩛-20233=↹⩛5350⋳⪒↹⩛34214↸↹⩛43414⩺⪪↹⩛10253","cot":[{"info":"↹⩛5350⋳⪒↹⩛34214=↹⩛-20233","layer":1},{"info":"↹⩛43414⩺⪪↹⩛10253=↹⩛-1331442","layer":1},{"info":"↹⩛-20233↸↹⩛-1331442=↹⩛-20233","layer":0}]}
{"id":880,"expression_no_base_symbol":"$1360$⪒$6873$⋷$2416$⩺⪪$1673$","expression":"↹⩛10144⪒↹⩛51453⋷↹⩛15104⩺⪪↹⩛11425","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":130,"operation_count":3,"complexity_ratio":43.333333333333336,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1360,"base":6},"right_expr":{"type":"numeric_atoms","value":6873,"base":6}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":2416,"base":6},"right_expr":{"type":"numeric_atoms","value":1673,"base":6}}},"used_operators":["23Mk6UjR3U","f6k1SAg4EE","uvdQJvN4PV"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"↹⩛204122","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1360","layer":2},{"info":"number node, value=6873","layer":2},{"info":"compute binary expreesion, left_input=1360, right_input=6873, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8233","layer":1},{"info":"number node, value=2416","layer":2},{"info":"number node, value=1673","layer":2},{"info":"compute binary expreesion, left_input=2416, right_input=1673, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-12786","layer":1},{"info":"compute binary expreesion, left_input=-8233, right_input=-12786, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=16466","layer":0}],"base":6,"result_base":6,"text":"↹⩛10144⪒↹⩛51453⋷↹⩛15104⩺⪪↹⩛11425=↹⩛204122","reverse_text":"↹⩛204122=↹⩛10144⪒↹⩛51453⋷↹⩛15104⩺⪪↹⩛11425","cot":[{"info":"↹⩛10144⪒↹⩛51453=↹⩛-102041","layer":1},{"info":"↹⩛15104⩺⪪↹⩛11425=↹⩛-135110","layer":1},{"info":"↹⩛-102041⋷↹⩛-135110=↹⩛204122","layer":0}]}
{"id":881,"expression_no_base_symbol":"($4049$-$2563$)⨥⫆$1629$⨽∌$8391$","expression":"(↹⩛30425-↹⩛15511)⨥⫆↹⩛11313⨽∌↹⩛102503","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":76,"operation_count":3,"complexity_ratio":25.333333333333332,"tree":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4049,"base":6},"right_expr":{"type":"numeric_atoms","value":2563,"base":6}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1629,"base":6},"right_expr":{"type":"numeric_atoms","value":8391,"base":6}}},"used_operators":["yXekIHxTD4","rysDP5nf3Z","9samAPKr6k"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"↹⩛-5204","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4049","layer":2},{"info":"number node, value=2563","layer":2},{"info":"compute binary expreesion, left_input=4049, right_input=2563, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1486","layer":1},{"info":"number node, value=1629","layer":2},{"info":"number node, value=8391","layer":2},{"info":"compute binary expreesion, left_input=1629, right_input=8391, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1486, right_input=0, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1156","layer":0}],"base":6,"result_base":6,"text":"(↹⩛30425-↹⩛15511)⨥⫆↹⩛11313⨽∌↹⩛102503=↹⩛-5204","reverse_text":"↹⩛-5204=(↹⩛30425-↹⩛15511)⨥⫆↹⩛11313⨽∌↹⩛102503","cot":[{"info":"↹⩛30425-↹⩛15511=↹⩛10514","layer":1},{"info":"↹⩛11313⨽∌↹⩛102503=↹⩛0","layer":1},{"info":"↹⩛10514⨥⫆↹⩛0=↹⩛-5204","layer":0}]}
{"id":882,"expression_no_base_symbol":"($3570$⪭$2058$)⋕⪉⪜($6684$↬$8185$)","expression":"(↹⩛24310⪭↹⩛13310)⋕⪉⪜(↹⩛50540↬↹⩛101521)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":33,"operation_count":3,"complexity_ratio":11.0,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":3570,"base":6},"right_expr":{"type":"numeric_atoms","value":2058,"base":6}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6684,"base":6},"right_expr":{"type":"numeric_atoms","value":8185,"base":6}}},"used_operators":["z6LnFrNh4i","j9kHMeSvPp","B5M0gjZbta"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","COABgblf1C","xUOZtlo3hN","rGHVDoGpnC"],"result":"↹⩛540","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3570","layer":2},{"info":"number node, value=2058","layer":2},{"info":"compute binary expreesion, left_input=3570, right_input=2058, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"number node, value=6684","layer":2},{"info":"number node, value=8185","layer":2},{"info":"compute binary expreesion, left_input=6684, right_input=8185, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬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=5, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":6,"result_base":6,"text":"(↹⩛24310⪭↹⩛13310)⋕⪉⪜(↹⩛50540↬↹⩛101521)=↹⩛540","reverse_text":"↹⩛540=(↹⩛24310⪭↹⩛13310)⋕⪉⪜(↹⩛50540↬↹⩛101521)","cot":[{"info":"↹⩛24310⪭↹⩛13310=↹⩛5","layer":1},{"info":"↹⩛50540↬↹⩛101521=NaN","layer":1},{"info":"↹⩛5⋕⪉⪜NaN=↹⩛540","layer":0}]}
{"id":883,"expression_no_base_symbol":"(⊆⋠$1306$)↺$4735$⊢$1563$","expression":"(⊆⋠↹⩛10014)↺↹⩛33531⊢↹⩛11123","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":55,"operation_count":3,"complexity_ratio":18.333333333333332,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":1306,"base":6}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":4735,"base":6},"right_expr":{"type":"numeric_atoms","value":1563,"base":6}}},"used_operators":["7j4O788W3g","EBhcHTkKd8","5twsqlHp2o"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"↹⩛-112550","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1306","layer":2},{"info":"compute unary expreesion, input=1306, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":1},{"info":"number node, value=4735","layer":2},{"info":"number node, value=1563","layer":2},{"info":"compute binary expreesion, left_input=4735, right_input=1563, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-9714","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-9714, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-9714","layer":0}],"base":6,"result_base":6,"text":"(⊆⋠↹⩛10014)↺↹⩛33531⊢↹⩛11123=↹⩛-112550","reverse_text":"↹⩛-112550=(⊆⋠↹⩛10014)↺↹⩛33531⊢↹⩛11123","cot":[{"info":"⊆⋠↹⩛10014=↹⩛0","layer":1},{"info":"↹⩛33531⊢↹⩛11123=↹⩛-112550","layer":1},{"info":"↹⩛0↺↹⩛-112550=↹⩛-112550","layer":0}]}
{"id":884,"expression_no_base_symbol":"$1373$⋛$6118$≋⫹","expression":"↹⩛10205⋛↹⩛44154≋⫹","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":267,"operation_count":2,"complexity_ratio":133.5,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1373,"base":6},"right_expr":{"type":"numeric_atoms","value":6118,"base":6}}},"used_operators":["N41Kp7NANJ","YbUVn0Rbpy"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"↹⩛5045330","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1373","layer":2},{"info":"number node, value=6118","layer":2},{"info":"compute binary expreesion, left_input=1373, right_input=6118, 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=-119835","layer":1},{"info":"compute unary expreesion, input=-119835, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=239670","layer":0}],"base":6,"result_base":6,"text":"↹⩛10205⋛↹⩛44154≋⫹=↹⩛5045330","reverse_text":"↹⩛5045330=↹⩛10205⋛↹⩛44154≋⫹","cot":[{"info":"↹⩛10205⋛↹⩛44154=↹⩛-2322443","layer":1},{"info":"↹⩛-2322443≋⫹=↹⩛5045330","layer":0}]}
{"id":885,"expression_no_base_symbol":"$5342$↳≱$3298$⪍↜⋙($2582$⋭≵$8637$)","expression":"↹⩛40422↳≱↹⩛23134⪍↜⋙(↹⩛15542⋭≵↹⩛103553)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":161,"operation_count":3,"complexity_ratio":53.666666666666664,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":5342,"base":6},"right_expr":{"type":"numeric_atoms","value":3298,"base":6}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2582,"base":6},"right_expr":{"type":"numeric_atoms","value":8637,"base":6}}},"used_operators":["L05ObWFQCd","JwTKLfZU96","jBncVCNhdl"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"↹⩛-4125","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5342","layer":2},{"info":"number node, value=3298","layer":2},{"info":"compute binary expreesion, left_input=5342, right_input=3298, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=2582","layer":2},{"info":"number node, value=8637","layer":2},{"info":"compute binary expreesion, left_input=2582, right_input=8637, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-917","layer":0}],"base":6,"result_base":6,"text":"↹⩛40422↳≱↹⩛23134⪍↜⋙(↹⩛15542⋭≵↹⩛103553)=↹⩛-4125","reverse_text":"↹⩛-4125=↹⩛40422↳≱↹⩛23134⪍↜⋙(↹⩛15542⋭≵↹⩛103553)","cot":[{"info":"↹⩛40422↳≱↹⩛23134=↹⩛0","layer":1},{"info":"↹⩛15542⋭≵↹⩛103553=↹⩛151","layer":1},{"info":"↹⩛0⪍↜⋙↹⩛151=↹⩛-4125","layer":0}]}
{"id":886,"expression_no_base_symbol":"$2057$⇴$4541$⨽($4236$∲⫓$2324$)","expression":"↹⩛13305⇴↹⩛33005⨽(↹⩛31340∲⫓↹⩛14432)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21063,"operation_count":3,"complexity_ratio":7021.0,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2057,"base":6},"right_expr":{"type":"numeric_atoms","value":4541,"base":6}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4236,"base":6},"right_expr":{"type":"numeric_atoms","value":2324,"base":6}}},"used_operators":["8HhzD0ZcuI","4JB6nKBMSY","i8ToyICDmI"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","NTOWxs364D","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛-335431100350","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2057","layer":2},{"info":"number node, value=4541","layer":2},{"info":"compute binary expreesion, left_input=2057, right_input=4541, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=21038","layer":1},{"info":"number node, value=4236","layer":2},{"info":"number node, value=2324","layer":2},{"info":"compute binary expreesion, left_input=4236, right_input=2324, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=21038, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-1327791018","layer":0}],"base":6,"result_base":6,"text":"↹⩛13305⇴↹⩛33005⨽(↹⩛31340∲⫓↹⩛14432)=↹⩛-335431100350","reverse_text":"↹⩛-335431100350=↹⩛13305⇴↹⩛33005⨽(↹⩛31340∲⫓↹⩛14432)","cot":[{"info":"↹⩛13305⇴↹⩛33005=↹⩛241222","layer":1},{"info":"↹⩛31340∲⫓↹⩛14432=↹⩛0","layer":1},{"info":"↹⩛241222⨽↹⩛0=↹⩛-335431100350","layer":0}]}
{"id":887,"expression_no_base_symbol":"↸⊣($5963$⪠⩆⊳)","expression":"↸⊣(↹⩛43335⪠⩆⊳)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16,"operation_count":2,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":5963,"base":6}}},"used_operators":["wztAlM01eG","JLbD19bQDL"],"dependent_operators":["N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5963","layer":2},{"info":"compute unary expreesion, input=5963, 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 = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"↸⊣(↹⩛43335⪠⩆⊳)=↹⩛0","reverse_text":"↹⩛0=↸⊣(↹⩛43335⪠⩆⊳)","cot":[{"info":"↹⩛43335⪠⩆⊳=↹⩛0","layer":1},{"info":"↸⊣↹⩛0=↹⩛0","layer":0}]}
{"id":888,"expression_no_base_symbol":"$1303$⩖⊿$1280$⩵∡$3827$↳∿⪆$3159$","expression":"↹⩛10011⩖⊿↹⩛5532⩵∡↹⩛25415↳∿⪆↹⩛22343","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2458,"operation_count":3,"complexity_ratio":819.3333333333334,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1303,"base":6},"right_expr":{"type":"numeric_atoms","value":1280,"base":6}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":3827,"base":6},"right_expr":{"type":"numeric_atoms","value":3159,"base":6}}},"used_operators":["Y7wcNGrDQJ","RZ5CV9rWsJ","Cw4SuJJGHO"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1303","layer":2},{"info":"number node, value=1280","layer":2},{"info":"compute binary expreesion, left_input=1303, right_input=1280, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=4946","layer":1},{"info":"number node, value=3827","layer":2},{"info":"number node, value=3159","layer":2},{"info":"compute binary expreesion, left_input=3827, right_input=3159, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4946, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛10011⩖⊿↹⩛5532⩵∡↹⩛25415↳∿⪆↹⩛22343=NaN","reverse_text":"NaN=↹⩛10011⩖⊿↹⩛5532⩵∡↹⩛25415↳∿⪆↹⩛22343","cot":[{"info":"↹⩛10011⩖⊿↹⩛5532=↹⩛34522","layer":1},{"info":"↹⩛25415↳∿⪆↹⩛22343=NaN","layer":1},{"info":"↹⩛34522⩵∡NaN=NaN","layer":0}]}
{"id":889,"expression_no_base_symbol":"⊥($1734$≥⨤⩑$1780$)","expression":"⊥(↹⩛12010≥⨤⩑↹⩛12124)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1734,"base":6},"right_expr":{"type":"numeric_atoms","value":1780,"base":6}}},"used_operators":["Q3PJZHRvZv","gJLn6v0xnP"],"dependent_operators":["fu6greOZ01","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1734","layer":2},{"info":"number node, value=1780","layer":2},{"info":"compute binary expreesion, left_input=1734, right_input=1780, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"compute unary expreesion, input=1234, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⊥(↹⩛12010≥⨤⩑↹⩛12124)=NaN","reverse_text":"NaN=⊥(↹⩛12010≥⨤⩑↹⩛12124)","cot":[{"info":"↹⩛12010≥⨤⩑↹⩛12124=↹⩛5414","layer":1},{"info":"⊥↹⩛5414=NaN","layer":0}]}
{"id":890,"expression_no_base_symbol":"(≸≮$2979$)≌($2361$∪⫐$1523$)","expression":"(≸≮↹⩛21443)≌(↹⩛14533∪⫐↹⩛11015)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12413,"operation_count":3,"complexity_ratio":4137.666666666667,"tree":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":2979,"base":6}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2361,"base":6},"right_expr":{"type":"numeric_atoms","value":1523,"base":6}}},"used_operators":["lyWz822IDG","AljMvE3RRm","7YooWSwCyH"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","rJVOvQCfKK","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2979","layer":2},{"info":"compute unary expreesion, input=2979, 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":"number node, value=2361","layer":2},{"info":"number node, value=1523","layer":2},{"info":"compute binary expreesion, left_input=2361, right_input=1523, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2361","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2361, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(≸≮↹⩛21443)≌(↹⩛14533∪⫐↹⩛11015)=NaN","reverse_text":"NaN=(≸≮↹⩛21443)≌(↹⩛14533∪⫐↹⩛11015)","cot":[{"info":"≸≮↹⩛21443=NaN","layer":1},{"info":"↹⩛14533∪⫐↹⩛11015=↹⩛14533","layer":1},{"info":"NaN≌↹⩛14533=NaN","layer":0}]}
{"id":891,"expression_no_base_symbol":"⪭⩑⪱$1744$⪝$2736$","expression":"⪭⩑⪱↹⩛12024⪝↹⩛20400","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2783,"operation_count":2,"complexity_ratio":1391.5,"tree":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1744,"base":6},"right_expr":{"type":"numeric_atoms","value":2736,"base":6}}},"used_operators":["SIgE0bArFf","wicAB68Tmb"],"dependent_operators":["FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"↹⩛454202000","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1744","layer":2},{"info":"number node, value=2736","layer":2},{"info":"compute binary expreesion, left_input=1744, right_input=2736, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":1},{"info":"compute unary expreesion, input=237, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":0}],"base":6,"result_base":6,"text":"⪭⩑⪱↹⩛12024⪝↹⩛20400=↹⩛454202000","reverse_text":"↹⩛454202000=⪭⩑⪱↹⩛12024⪝↹⩛20400","cot":[{"info":"↹⩛12024⪝↹⩛20400=↹⩛1033","layer":1},{"info":"⪭⩑⪱↹⩛1033=↹⩛454202000","layer":0}]}
{"id":892,"expression_no_base_symbol":"($1958$↙$5155$)⨎⋸⪻","expression":"(↹⩛13022↙↹⩛35511)⨎⋸⪻","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5167,"operation_count":2,"complexity_ratio":2583.5,"tree":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1958,"base":6},"right_expr":{"type":"numeric_atoms","value":5155,"base":6}}},"used_operators":["Dk5vyLCiGd","yyfyN0ffXY"],"dependent_operators":["IWmyXbctLI","tmPS8pqC7x","DpFCA1CohY"],"result":"↹⩛-353422","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1958","layer":2},{"info":"number node, value=5155","layer":2},{"info":"compute binary expreesion, left_input=1958, right_input=5155, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-15465","layer":1},{"info":"compute unary expreesion, input=-15465, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=-30614","layer":0}],"base":6,"result_base":6,"text":"(↹⩛13022↙↹⩛35511)⨎⋸⪻=↹⩛-353422","reverse_text":"↹⩛-353422=(↹⩛13022↙↹⩛35511)⨎⋸⪻","cot":[{"info":"↹⩛13022↙↹⩛35511=↹⩛-155333","layer":1},{"info":"↹⩛-155333⨎⋸⪻=↹⩛-353422","layer":0}]}
{"id":893,"expression_no_base_symbol":"(⫵↿$1820$)⫠↝⫳","expression":"(⫵↿↹⩛12232)⫠↝⫳","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":46,"operation_count":2,"complexity_ratio":23.0,"tree":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":1820,"base":6}}},"used_operators":["8n5YIzOsVS","ivGwdmUAux"],"dependent_operators":["9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a"],"result":"↹⩛35103","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1820","layer":2},{"info":"compute unary expreesion, input=1820, 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 = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=5007","layer":0}],"base":6,"result_base":6,"text":"(⫵↿↹⩛12232)⫠↝⫳=↹⩛35103","reverse_text":"↹⩛35103=(⫵↿↹⩛12232)⫠↝⫳","cot":[{"info":"⫵↿↹⩛12232=↹⩛345","layer":1},{"info":"↹⩛345⫠↝⫳=↹⩛35103","layer":0}]}
{"id":894,"expression_no_base_symbol":"(≛$6444$)≃$1099$⪒⊣⊆$6801$","expression":"(≛↹⩛45500)≃↹⩛5031⪒⊣⊆↹⩛51253","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":43,"operation_count":3,"complexity_ratio":14.333333333333334,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":6444,"base":6}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1099,"base":6},"right_expr":{"type":"numeric_atoms","value":6801,"base":6}}},"used_operators":["YbVcJGFEVW","W7eaUhjymW","eRqsBgTDFp"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","sdazOOVcIp","W4YGzv6Whe"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=6444","layer":2},{"info":"compute unary expreesion, input=6444, 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":"number node, value=1099","layer":2},{"info":"number node, value=6801","layer":2},{"info":"compute binary expreesion, left_input=1099, right_input=6801, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2198","layer":1},{"info":"compute binary expreesion, left_input=-10, right_input=2198, 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=0","layer":0}],"base":6,"result_base":6,"text":"(≛↹⩛45500)≃↹⩛5031⪒⊣⊆↹⩛51253=↹⩛0","reverse_text":"↹⩛0=(≛↹⩛45500)≃↹⩛5031⪒⊣⊆↹⩛51253","cot":[{"info":"≛↹⩛45500=↹⩛-14","layer":1},{"info":"↹⩛5031⪒⊣⊆↹⩛51253=↹⩛14102","layer":1},{"info":"↹⩛-14≃↹⩛14102=↹⩛0","layer":0}]}
{"id":895,"expression_no_base_symbol":"↥≼⋛$7464$≨$1206$","expression":"↥≼⋛↹⩛54320≨↹⩛5330","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":78,"operation_count":2,"complexity_ratio":39.0,"tree":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":7464,"base":6},"right_expr":{"type":"numeric_atoms","value":1206,"base":6}}},"used_operators":["x5lMkHmzsq","0KMCeP1Jsh"],"dependent_operators":["eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"↹⩛-1313535","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7464","layer":2},{"info":"number node, value=1206","layer":2},{"info":"compute binary expreesion, left_input=7464, right_input=1206, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-72164","layer":1},{"info":"compute unary expreesion, input=-72164, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-72131","layer":0}],"base":6,"result_base":6,"text":"↥≼⋛↹⩛54320≨↹⩛5330=↹⩛-1313535","reverse_text":"↹⩛-1313535=↥≼⋛↹⩛54320≨↹⩛5330","cot":[{"info":"↹⩛54320≨↹⩛5330=↹⩛-1314032","layer":1},{"info":"↥≼⋛↹⩛-1314032=↹⩛-1313535","layer":0}]}
{"id":896,"expression_no_base_symbol":"∤↝($3612$≧⫂∧$5400$)","expression":"∤↝(↹⩛24420≧⫂∧↹⩛41000)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3612,"base":6},"right_expr":{"type":"numeric_atoms","value":5400,"base":6}}},"used_operators":["3UMq87Qwqg","Ph9nP6C5qx"],"dependent_operators":["s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛34451","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3612","layer":2},{"info":"number node, value=5400","layer":2},{"info":"compute binary expreesion, left_input=3612, right_input=5400, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4927","layer":1},{"info":"compute unary expreesion, input=4927, 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=4927","layer":0}],"base":6,"result_base":6,"text":"∤↝(↹⩛24420≧⫂∧↹⩛41000)=↹⩛34451","reverse_text":"↹⩛34451=∤↝(↹⩛24420≧⫂∧↹⩛41000)","cot":[{"info":"↹⩛24420≧⫂∧↹⩛41000=↹⩛34451","layer":1},{"info":"∤↝↹⩛34451=↹⩛34451","layer":0}]}
{"id":897,"expression_no_base_symbol":"($1859$⊧↖)⊲⩕⊾(↽≂$2929$)","expression":"(↹⩛12335⊧↖)⊲⩕⊾(↽≂↹⩛21321)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1938,"operation_count":3,"complexity_ratio":646.0,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":1859,"base":6}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2929,"base":6}}},"used_operators":["DmTXOeWf9t","EKiFHuOFxO","u6S6b8DprG"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛-52531002410","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1859","layer":2},{"info":"compute unary expreesion, input=1859, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=20743568","layer":1},{"info":"number node, value=2929","layer":2},{"info":"compute unary expreesion, input=2929, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5858","layer":1},{"info":"compute binary expreesion, left_input=20743568, right_input=-5858, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-331771398","layer":0}],"base":6,"result_base":6,"text":"(↹⩛12335⊧↖)⊲⩕⊾(↽≂↹⩛21321)=↹⩛-52531002410","reverse_text":"↹⩛-52531002410=(↹⩛12335⊧↖)⊲⩕⊾(↽≂↹⩛21321)","cot":[{"info":"↹⩛12335⊧↖=↹⩛2020335012","layer":1},{"info":"↽≂↹⩛21321=↹⩛-43042","layer":1},{"info":"↹⩛2020335012⊲⩕⊾↹⩛-43042=↹⩛-52531002410","layer":0}]}
{"id":898,"expression_no_base_symbol":"≘($1121$⪇≇⋚$4162$)","expression":"≘(↹⩛5105⪇≇⋚↹⩛31134)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":65,"operation_count":2,"complexity_ratio":32.5,"tree":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1121,"base":6},"right_expr":{"type":"numeric_atoms","value":4162,"base":6}}},"used_operators":["tcjXMdvYtA","3sJ7IOPOlU"],"dependent_operators":["XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"↹⩛-1114","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1121","layer":2},{"info":"number node, value=4162","layer":2},{"info":"compute binary expreesion, left_input=1121, right_input=4162, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=-262","layer":0}],"base":6,"result_base":6,"text":"≘(↹⩛5105⪇≇⋚↹⩛31134)=↹⩛-1114","reverse_text":"↹⩛-1114=≘(↹⩛5105⪇≇⋚↹⩛31134)","cot":[{"info":"↹⩛5105⪇≇⋚↹⩛31134=↹⩛0","layer":1},{"info":"≘↹⩛0=↹⩛-1114","layer":0}]}
{"id":899,"expression_no_base_symbol":"↩($3117$∖$2702$)","expression":"↩(↹⩛22233∖↹⩛20302)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":417,"operation_count":2,"complexity_ratio":208.5,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":3117,"base":6},"right_expr":{"type":"numeric_atoms","value":2702,"base":6}}},"used_operators":["jLgFTUHLKL","tXD093vOjl"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"↹⩛34232","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3117","layer":2},{"info":"number node, value=2702","layer":2},{"info":"compute binary expreesion, left_input=3117, right_input=2702, 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4844","layer":0}],"base":6,"result_base":6,"text":"↩(↹⩛22233∖↹⩛20302)=↹⩛34232","reverse_text":"↹⩛34232=↩(↹⩛22233∖↹⩛20302)","cot":[{"info":"↹⩛22233∖↹⩛20302=↹⩛0","layer":1},{"info":"↩↹⩛0=↹⩛34232","layer":0}]}
{"id":900,"expression_no_base_symbol":"($1225$⋥≓≎$2291$)≦↸($7036$↫)","expression":"(↹⩛5401⋥≓≎↹⩛14335)≦↸(↹⩛52324↫)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1225,"base":6},"right_expr":{"type":"numeric_atoms","value":2291,"base":6}},"right_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":7036,"base":6}}},"used_operators":["RygbFNSyEJ","Qy55tPpLXF","uPb5QRN0te"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd"],"result":"↹⩛-45415","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1225","layer":2},{"info":"number node, value=2291","layer":2},{"info":"compute binary expreesion, left_input=1225, right_input=2291, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3390","layer":1},{"info":"number node, value=7036","layer":2},{"info":"compute unary expreesion, input=7036, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=3390, right_input=160, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-6419","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5401⋥≓≎↹⩛14335)≦↸(↹⩛52324↫)=↹⩛-45415","reverse_text":"↹⩛-45415=(↹⩛5401⋥≓≎↹⩛14335)≦↸(↹⩛52324↫)","cot":[{"info":"↹⩛5401⋥≓≎↹⩛14335=↹⩛23410","layer":1},{"info":"↹⩛52324↫=↹⩛424","layer":1},{"info":"↹⩛23410≦↸↹⩛424=↹⩛-45415","layer":0}]}
{"id":901,"expression_no_base_symbol":"$3767$⨒$1296$⇼⇔∾$1123$∘$4731$","expression":"↹⩛25235⨒↹⩛10000⇼⇔∾↹⩛5111∘↹⩛33523","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":24,"operation_count":3,"complexity_ratio":8.0,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":3767,"base":6},"right_expr":{"type":"numeric_atoms","value":1296,"base":6}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1123,"base":6},"right_expr":{"type":"numeric_atoms","value":4731,"base":6}}},"used_operators":["tifHPKVTfV","y75s1iXyHd","Z5m6OM72h2"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","eH2TOUuTDT","rysDP5nf3Z"],"result":"↹⩛305152","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3767","layer":2},{"info":"number node, value=1296","layer":2},{"info":"compute binary expreesion, left_input=3767, right_input=1296, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-22230","layer":1},{"info":"number node, value=1123","layer":2},{"info":"number node, value=4731","layer":2},{"info":"compute binary expreesion, left_input=1123, right_input=4731, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2246","layer":1},{"info":"compute binary expreesion, left_input=-22230, right_input=2246, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=24476","layer":0}],"base":6,"result_base":6,"text":"↹⩛25235⨒↹⩛10000⇼⇔∾↹⩛5111∘↹⩛33523=↹⩛305152","reverse_text":"↹⩛305152=↹⩛25235⨒↹⩛10000⇼⇔∾↹⩛5111∘↹⩛33523","cot":[{"info":"↹⩛25235⨒↹⩛10000=↹⩛-250530","layer":1},{"info":"↹⩛5111∘↹⩛33523=↹⩛14222","layer":1},{"info":"↹⩛-250530⇼⇔∾↹⩛14222=↹⩛305152","layer":0}]}
{"id":902,"expression_no_base_symbol":"⇁⨣⪵($3888$⫩⊇)","expression":"⇁⨣⪵(↹⩛30000⫩⊇)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3888,"base":6}}},"used_operators":["inkyxCbjAn","BjRHVeLaeN"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3888","layer":2},{"info":"compute unary expreesion, input=3888, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3846","layer":1},{"info":"compute unary expreesion, input=-3846, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⇁⨣⪵(↹⩛30000⫩⊇)=NaN","reverse_text":"NaN=⇁⨣⪵(↹⩛30000⫩⊇)","cot":[{"info":"↹⩛30000⫩⊇=↹⩛-25450","layer":1},{"info":"⇁⨣⪵↹⩛-25450=NaN","layer":0}]}
{"id":903,"expression_no_base_symbol":"$1620$∷$3081$∖($1544$⊓⋫)","expression":"↹⩛11300∷↹⩛22133∖(↹⩛11052⊓⋫)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":213,"operation_count":3,"complexity_ratio":71.0,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1620,"base":6},"right_expr":{"type":"numeric_atoms","value":3081,"base":6}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":1544,"base":6}}},"used_operators":["tXD093vOjl","D3AQDKkPcf","IqGBaFP0uj"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9FxExcQeMw","NTOWxs364D","7j4O788W3g","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1620","layer":2},{"info":"number node, value=3081","layer":2},{"info":"compute binary expreesion, left_input=1620, right_input=3081, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3081","layer":1},{"info":"number node, value=1544","layer":2},{"info":"compute unary expreesion, input=1544, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-1672","layer":1},{"info":"compute binary expreesion, left_input=3081, right_input=-1672, 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":6,"result_base":6,"text":"↹⩛11300∷↹⩛22133∖(↹⩛11052⊓⋫)=↹⩛0","reverse_text":"↹⩛0=↹⩛11300∷↹⩛22133∖(↹⩛11052⊓⋫)","cot":[{"info":"↹⩛11300∷↹⩛22133=↹⩛22133","layer":1},{"info":"↹⩛11052⊓⋫=↹⩛-11424","layer":1},{"info":"↹⩛22133∖↹⩛-11424=↹⩛0","layer":0}]}
{"id":904,"expression_no_base_symbol":"$2171$⇣⩺⋵$1217$⫰⋱(⇵⪽$6287$)","expression":"↹⩛14015⇣⩺⋵↹⩛5345⫰⋱(⇵⪽↹⩛45035)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":64,"operation_count":3,"complexity_ratio":21.333333333333332,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":2171,"base":6},"right_expr":{"type":"numeric_atoms","value":1217,"base":6}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":6287,"base":6}}},"used_operators":["6o9Blt3TJ6","F4yD0voBRQ","ZGCBLdVRRX"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2171","layer":2},{"info":"number node, value=1217","layer":2},{"info":"compute binary expreesion, left_input=2171, right_input=1217, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"number node, value=6287","layer":2},{"info":"compute unary expreesion, input=6287, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛14015⇣⩺⋵↹⩛5345⫰⋱(⇵⪽↹⩛45035)=NaN","reverse_text":"NaN=↹⩛14015⇣⩺⋵↹⩛5345⫰⋱(⇵⪽↹⩛45035)","cot":[{"info":"↹⩛14015⇣⩺⋵↹⩛5345=↹⩛-1112","layer":1},{"info":"⇵⪽↹⩛45035=NaN","layer":1},{"info":"↹⩛-1112⫰⋱NaN=NaN","layer":0}]}
{"id":905,"expression_no_base_symbol":"($6316$⊜)⫁⪎($1081$⫰⋱$3113$)","expression":"(↹⩛45124⊜)⫁⪎(↹⩛5001⫰⋱↹⩛22225)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":6316,"base":6}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1081,"base":6},"right_expr":{"type":"numeric_atoms","value":3113,"base":6}}},"used_operators":["xRrnTEsQ6j","Eev2Q7dYIw","6o9Blt3TJ6"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"↹⩛-252024","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6316","layer":2},{"info":"compute unary expreesion, input=6316, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-23528","layer":1},{"info":"number node, value=1081","layer":2},{"info":"number node, value=3113","layer":2},{"info":"compute binary expreesion, left_input=1081, right_input=3113, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1048","layer":1},{"info":"compute binary expreesion, left_input=-23528, right_input=-1048, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-22480","layer":0}],"base":6,"result_base":6,"text":"(↹⩛45124⊜)⫁⪎(↹⩛5001⫰⋱↹⩛22225)=↹⩛-252024","reverse_text":"↹⩛-252024=(↹⩛45124⊜)⫁⪎(↹⩛5001⫰⋱↹⩛22225)","cot":[{"info":"↹⩛45124⊜=↹⩛-300532","layer":1},{"info":"↹⩛5001⫰⋱↹⩛22225=↹⩛-4504","layer":1},{"info":"↹⩛-300532⫁⪎↹⩛-4504=↹⩛-252024","layer":0}]}
{"id":906,"expression_no_base_symbol":"(≅≯⇸$1715$)∧","expression":"(≅≯⇸↹⩛11535)∧","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":20,"operation_count":2,"complexity_ratio":10.0,"tree":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":1715,"base":6}}},"used_operators":["z63VuFQld9","apS25hmuAe"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","EBcxylXtPf","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1715","layer":2},{"info":"compute unary expreesion, input=1715, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=14537","layer":1},{"info":"compute unary expreesion, input=14537, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(≅≯⇸↹⩛11535)∧=NaN","reverse_text":"NaN=(≅≯⇸↹⩛11535)∧","cot":[{"info":"≅≯⇸↹⩛11535=↹⩛151145","layer":1},{"info":"↹⩛151145∧=NaN","layer":0}]}
{"id":907,"expression_no_base_symbol":"$1751$⋕⪉⪜$2777$⨑≵⋬$3543$⋝⋈⪟$1469$","expression":"↹⩛12035⋕⪉⪜↹⩛20505⨑≵⋬↹⩛24223⋝⋈⪟↹⩛10445","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":46,"operation_count":3,"complexity_ratio":15.333333333333334,"tree":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1751,"base":6},"right_expr":{"type":"numeric_atoms","value":2777,"base":6}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3543,"base":6},"right_expr":{"type":"numeric_atoms","value":1469,"base":6}}},"used_operators":["XnXgA4xnOs","z6LnFrNh4i","2DDjHMKMc0"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛-251414","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1751","layer":2},{"info":"number node, value=2777","layer":2},{"info":"compute binary expreesion, left_input=1751, right_input=2777, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"number node, value=3543","layer":2},{"info":"number node, value=1469","layer":2},{"info":"compute binary expreesion, left_input=3543, right_input=1469, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3543","layer":1},{"info":"compute binary expreesion, left_input=204, right_input=3543, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-22402","layer":0}],"base":6,"result_base":6,"text":"↹⩛12035⋕⪉⪜↹⩛20505⨑≵⋬↹⩛24223⋝⋈⪟↹⩛10445=↹⩛-251414","reverse_text":"↹⩛-251414=↹⩛12035⋕⪉⪜↹⩛20505⨑≵⋬↹⩛24223⋝⋈⪟↹⩛10445","cot":[{"info":"↹⩛12035⋕⪉⪜↹⩛20505=↹⩛540","layer":1},{"info":"↹⩛24223⋝⋈⪟↹⩛10445=↹⩛24223","layer":1},{"info":"↹⩛540⨑≵⋬↹⩛24223=↹⩛-251414","layer":0}]}
{"id":908,"expression_no_base_symbol":"(∤$5223$)⊴($3112$∲⫓$1013$)","expression":"(∤↹⩛40103)⊴(↹⩛22224∲⫓↹⩛4405)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":17,"operation_count":3,"complexity_ratio":5.666666666666667,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":5223,"base":6}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3112,"base":6},"right_expr":{"type":"numeric_atoms","value":1013,"base":6}}},"used_operators":["Nsiff2A1zJ","k2HlF1dBQh","i8ToyICDmI"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛-211","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5223","layer":2},{"info":"compute unary expreesion, input=5223, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":1},{"info":"number node, value=3112","layer":2},{"info":"number node, value=1013","layer":2},{"info":"compute binary expreesion, left_input=3112, right_input=1013, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=9, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":0}],"base":6,"result_base":6,"text":"(∤↹⩛40103)⊴(↹⩛22224∲⫓↹⩛4405)=↹⩛-211","reverse_text":"↹⩛-211=(∤↹⩛40103)⊴(↹⩛22224∲⫓↹⩛4405)","cot":[{"info":"∤↹⩛40103=↹⩛13","layer":1},{"info":"↹⩛22224∲⫓↹⩛4405=↹⩛0","layer":1},{"info":"↹⩛13⊴↹⩛0=↹⩛-211","layer":0}]}
{"id":909,"expression_no_base_symbol":"$1441$↓$3345$⪭$2910$⫣⪄⊒$1106$","expression":"↹⩛10401↓↹⩛23253⪭↹⩛21250⫣⪄⊒↹⩛5042","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":47157,"operation_count":3,"complexity_ratio":15719.0,"tree":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1441,"base":6},"right_expr":{"type":"numeric_atoms","value":3345,"base":6}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2910,"base":6},"right_expr":{"type":"numeric_atoms","value":1106,"base":6}}},"used_operators":["j9kHMeSvPp","Af076pWI7l","RabNbG55vr"],"dependent_operators":["COABgblf1C","xUOZtlo3hN","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"↹⩛-104","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1441","layer":2},{"info":"number node, value=3345","layer":2},{"info":"compute binary expreesion, left_input=1441, right_input=3345, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"number node, value=2910","layer":2},{"info":"number node, value=1106","layer":2},{"info":"compute binary expreesion, left_input=2910, right_input=1106, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-1328","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=-1328, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-40","layer":0}],"base":6,"result_base":6,"text":"↹⩛10401↓↹⩛23253⪭↹⩛21250⫣⪄⊒↹⩛5042=↹⩛-104","reverse_text":"↹⩛-104=↹⩛10401↓↹⩛23253⪭↹⩛21250⫣⪄⊒↹⩛5042","cot":[{"info":"↹⩛10401↓↹⩛23253=↹⩛-342","layer":1},{"info":"↹⩛21250⫣⪄⊒↹⩛5042=↹⩛-10052","layer":1},{"info":"↹⩛-342⪭↹⩛-10052=↹⩛-104","layer":0}]}
{"id":910,"expression_no_base_symbol":"($5692$⪉⨛$1134$)≁($1957$⨵⪆$1781$)","expression":"(↹⩛42204⪉⨛↹⩛5130)≁(↹⩛13021⨵⪆↹⩛12125)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":113,"operation_count":3,"complexity_ratio":37.666666666666664,"tree":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":5692,"base":6},"right_expr":{"type":"numeric_atoms","value":1134,"base":6}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1957,"base":6},"right_expr":{"type":"numeric_atoms","value":1781,"base":6}}},"used_operators":["8N2wDY1A35","EWw2JM7wp4","2DQ55sFlQl"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛22523","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5692","layer":2},{"info":"number node, value=1134","layer":2},{"info":"compute binary expreesion, left_input=5692, right_input=1134, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=16157","layer":1},{"info":"number node, value=1957","layer":2},{"info":"number node, value=1781","layer":2},{"info":"compute binary expreesion, left_input=1957, right_input=1781, 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=16157, right_input=160, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=3219","layer":0}],"base":6,"result_base":6,"text":"(↹⩛42204⪉⨛↹⩛5130)≁(↹⩛13021⨵⪆↹⩛12125)=↹⩛22523","reverse_text":"↹⩛22523=(↹⩛42204⪉⨛↹⩛5130)≁(↹⩛13021⨵⪆↹⩛12125)","cot":[{"info":"↹⩛42204⪉⨛↹⩛5130=↹⩛202445","layer":1},{"info":"↹⩛13021⨵⪆↹⩛12125=↹⩛424","layer":1},{"info":"↹⩛202445≁↹⩛424=↹⩛22523","layer":0}]}
{"id":911,"expression_no_base_symbol":"$1321$⨰$2490$⋖∅⋲","expression":"↹⩛10041⨰↹⩛15310⋖∅⋲","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":27,"operation_count":2,"complexity_ratio":13.5,"tree":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1321,"base":6},"right_expr":{"type":"numeric_atoms","value":2490,"base":6}}},"used_operators":["L95AwlJzhO","eewbuw0ToL"],"dependent_operators":["gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1321","layer":2},{"info":"number node, value=2490","layer":2},{"info":"compute binary expreesion, left_input=1321, right_input=2490, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1159","layer":1},{"info":"compute unary expreesion, input=-1159, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"↹⩛10041⨰↹⩛15310⋖∅⋲=↹⩛0","reverse_text":"↹⩛0=↹⩛10041⨰↹⩛15310⋖∅⋲","cot":[{"info":"↹⩛10041⨰↹⩛15310=↹⩛-5211","layer":1},{"info":"↹⩛-5211⋖∅⋲=↹⩛0","layer":0}]}
{"id":912,"expression_no_base_symbol":"$2169$≃$2719$∠⫱$1761$⊲⩕⊾$6810$","expression":"↹⩛14013≃↹⩛20331∠⫱↹⩛12053⊲⩕⊾↹⩛51310","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":46,"operation_count":3,"complexity_ratio":15.333333333333334,"tree":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2169,"base":6},"right_expr":{"type":"numeric_atoms","value":2719,"base":6}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1761,"base":6},"right_expr":{"type":"numeric_atoms","value":6810,"base":6}}},"used_operators":["QvoQhV0rrE","YbVcJGFEVW","DmTXOeWf9t"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"↹⩛1445434","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2169","layer":2},{"info":"number node, value=2719","layer":2},{"info":"compute binary expreesion, left_input=2169, right_input=2719, 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=-8716","layer":1},{"info":"number node, value=1761","layer":2},{"info":"number node, value=6810","layer":2},{"info":"compute binary expreesion, left_input=1761, right_input=6810, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-92906","layer":1},{"info":"compute binary expreesion, left_input=-8716, right_input=-92906, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=84190","layer":0}],"base":6,"result_base":6,"text":"↹⩛14013≃↹⩛20331∠⫱↹⩛12053⊲⩕⊾↹⩛51310=↹⩛1445434","reverse_text":"↹⩛1445434=↹⩛14013≃↹⩛20331∠⫱↹⩛12053⊲⩕⊾↹⩛51310","cot":[{"info":"↹⩛14013≃↹⩛20331=↹⩛-104204","layer":1},{"info":"↹⩛12053⊲⩕⊾↹⩛51310=↹⩛-1554042","layer":1},{"info":"↹⩛-104204∠⫱↹⩛-1554042=↹⩛1445434","layer":0}]}
{"id":913,"expression_no_base_symbol":"(⪝⪂⫅$2516$)≝⊿($5561$∽$1991$)","expression":"(⪝⪂⫅↹⩛15352)≝⊿(↹⩛41425∽↹⩛13115)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":174,"operation_count":3,"complexity_ratio":58.0,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2516,"base":6}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":5561,"base":6},"right_expr":{"type":"numeric_atoms","value":1991,"base":6}}},"used_operators":["OKKcZfAt5B","XTarYq4gQB","y4ImoPnbV5"],"dependent_operators":["12rbrZMWeM","9HNa5Wba9A","8w2t5hMYqp","NTOWxs364D","QMFrweE19q"],"result":"↹⩛13204531","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2516","layer":2},{"info":"compute unary expreesion, input=2516, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-369852","layer":1},{"info":"number node, value=5561","layer":2},{"info":"number node, value=1991","layer":2},{"info":"compute binary expreesion, left_input=5561, right_input=1991, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-33600","layer":1},{"info":"compute binary expreesion, left_input=-369852, right_input=-33600, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=436519","layer":0}],"base":6,"result_base":6,"text":"(⪝⪂⫅↹⩛15352)≝⊿(↹⩛41425∽↹⩛13115)=↹⩛13204531","reverse_text":"↹⩛13204531=(⪝⪂⫅↹⩛15352)≝⊿(↹⩛41425∽↹⩛13115)","cot":[{"info":"⪝⪂⫅↹⩛15352=↹⩛-11532140","layer":1},{"info":"↹⩛41425∽↹⩛13115=↹⩛-415320","layer":1},{"info":"↹⩛-11532140≝⊿↹⩛-415320=↹⩛13204531","layer":0}]}
{"id":914,"expression_no_base_symbol":"≱⇩⩕$3990$⨽$5794$","expression":"≱⇩⩕↹⩛30250⨽↹⩛42454","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4028,"operation_count":2,"complexity_ratio":2014.0,"tree":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3990,"base":6},"right_expr":{"type":"numeric_atoms","value":5794,"base":6}}},"used_operators":["3DZMoQKiUl","8HhzD0ZcuI"],"dependent_operators":["AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"↹⩛53104035014","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3990","layer":2},{"info":"number node, value=5794","layer":2},{"info":"compute binary expreesion, left_input=3990, right_input=5794, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-47776368","layer":1},{"info":"compute unary expreesion, input=-47776368, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=334435186","layer":0}],"base":6,"result_base":6,"text":"≱⇩⩕↹⩛30250⨽↹⩛42454=↹⩛53104035014","reverse_text":"↹⩛53104035014=≱⇩⩕↹⩛30250⨽↹⩛42454","cot":[{"info":"↹⩛30250⨽↹⩛42454=↹⩛-4424002520","layer":1},{"info":"≱⇩⩕↹⩛-4424002520=↹⩛53104035014","layer":0}]}
{"id":915,"expression_no_base_symbol":"$8145$⪝$1694$≬⋮(∮$1704$)","expression":"↹⩛101413⪝↹⩛11502≬⋮(∮↹⩛11520)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":741,"operation_count":3,"complexity_ratio":247.0,"tree":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":8145,"base":6},"right_expr":{"type":"numeric_atoms","value":1694,"base":6}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":1704,"base":6}}},"used_operators":["kbkesczE7y","wicAB68Tmb","CqXKPLVYql"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL"],"result":"↹⩛4004","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8145","layer":2},{"info":"number node, value=1694","layer":2},{"info":"compute binary expreesion, left_input=8145, right_input=1694, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-26203","layer":1},{"info":"number node, value=1704","layer":2},{"info":"compute unary expreesion, input=1704, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-26203, right_input=67, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":0}],"base":6,"result_base":6,"text":"↹⩛101413⪝↹⩛11502≬⋮(∮↹⩛11520)=↹⩛4004","reverse_text":"↹⩛4004=↹⩛101413⪝↹⩛11502≬⋮(∮↹⩛11520)","cot":[{"info":"↹⩛101413⪝↹⩛11502=↹⩛-321151","layer":1},{"info":"∮↹⩛11520=↹⩛151","layer":1},{"info":"↹⩛-321151≬⋮↹⩛151=↹⩛4004","layer":0}]}
{"id":916,"expression_no_base_symbol":"$3438$⪚$3793$-($1561$∈)","expression":"↹⩛23530⪚↹⩛25321-(↹⩛11121∈)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":37,"operation_count":3,"complexity_ratio":12.333333333333334,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":3438,"base":6},"right_expr":{"type":"numeric_atoms","value":3793,"base":6}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":1561,"base":6}}},"used_operators":["rysDP5nf3Z","HrjLwUk87U","ztP7wcbY7m"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr"],"result":"↹⩛-35302","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3438","layer":2},{"info":"number node, value=3793","layer":2},{"info":"compute binary expreesion, left_input=3438, right_input=3793, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-1066","layer":1},{"info":"number node, value=1561","layer":2},{"info":"compute unary expreesion, input=1561, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=4012","layer":1},{"info":"compute binary expreesion, left_input=-1066, right_input=4012, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5078","layer":0}],"base":6,"result_base":6,"text":"↹⩛23530⪚↹⩛25321-(↹⩛11121∈)=↹⩛-35302","reverse_text":"↹⩛-35302=↹⩛23530⪚↹⩛25321-(↹⩛11121∈)","cot":[{"info":"↹⩛23530⪚↹⩛25321=↹⩛-4534","layer":1},{"info":"↹⩛11121∈=↹⩛30324","layer":1},{"info":"↹⩛-4534-↹⩛30324=↹⩛-35302","layer":0}]}
{"id":917,"expression_no_base_symbol":"$1583$∊∟⩊$2407$⪔$3517$⩘$1464$","expression":"↹⩛11155∊∟⩊↹⩛15051⪔↹⩛24141⩘↹⩛10440","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":353,"operation_count":3,"complexity_ratio":117.66666666666667,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1583,"base":6},"right_expr":{"type":"numeric_atoms","value":2407,"base":6}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":3517,"base":6},"right_expr":{"type":"numeric_atoms","value":1464,"base":6}}},"used_operators":["GjBEYRfMaF","ddLRYrp01A","cHh1gJQ2o6"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"↹⩛2030","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1583","layer":2},{"info":"number node, value=2407","layer":2},{"info":"compute binary expreesion, left_input=1583, right_input=2407, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2407","layer":1},{"info":"number node, value=3517","layer":2},{"info":"number node, value=1464","layer":2},{"info":"compute binary expreesion, left_input=3517, right_input=1464, 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=2407, right_input=160, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":0}],"base":6,"result_base":6,"text":"↹⩛11155∊∟⩊↹⩛15051⪔↹⩛24141⩘↹⩛10440=↹⩛2030","reverse_text":"↹⩛2030=↹⩛11155∊∟⩊↹⩛15051⪔↹⩛24141⩘↹⩛10440","cot":[{"info":"↹⩛11155∊∟⩊↹⩛15051=↹⩛15051","layer":1},{"info":"↹⩛24141⩘↹⩛10440=↹⩛424","layer":1},{"info":"↹⩛15051⪔↹⩛424=↹⩛2030","layer":0}]}
{"id":918,"expression_no_base_symbol":"($2472$⊋≦⊧$8128$)≀⫉$1950$⊮⊟↴$1195$","expression":"(↹⩛15240⊋≦⊧↹⩛101344)≀⫉↹⩛13010⊮⊟↴↹⩛5311","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":210,"operation_count":3,"complexity_ratio":70.0,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":2472,"base":6},"right_expr":{"type":"numeric_atoms","value":8128,"base":6}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1950,"base":6},"right_expr":{"type":"numeric_atoms","value":1195,"base":6}}},"used_operators":["oZj3VtZNQx","oRDoc9rAEX","QDVgd2eftb"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"↹⩛21022","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2472","layer":2},{"info":"number node, value=8128","layer":2},{"info":"compute binary expreesion, left_input=2472, right_input=8128, 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=-10360","layer":1},{"info":"number node, value=1950","layer":2},{"info":"number node, value=1195","layer":2},{"info":"compute binary expreesion, left_input=1950, right_input=1195, 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=-10360, right_input=0, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":0}],"base":6,"result_base":6,"text":"(↹⩛15240⊋≦⊧↹⩛101344)≀⫉↹⩛13010⊮⊟↴↹⩛5311=↹⩛21022","reverse_text":"↹⩛21022=(↹⩛15240⊋≦⊧↹⩛101344)≀⫉↹⩛13010⊮⊟↴↹⩛5311","cot":[{"info":"↹⩛15240⊋≦⊧↹⩛101344=↹⩛-115544","layer":1},{"info":"↹⩛13010⊮⊟↴↹⩛5311=↹⩛0","layer":1},{"info":"↹⩛-115544≀⫉↹⩛0=↹⩛21022","layer":0}]}
{"id":919,"expression_no_base_symbol":"($2749$⪢$7531$)⪥(⊿$4646$)","expression":"(↹⩛20421⪢↹⩛54511)⪥(⊿↹⩛33302)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7570,"operation_count":3,"complexity_ratio":2523.3333333333335,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2749,"base":6},"right_expr":{"type":"numeric_atoms","value":7531,"base":6}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":4646,"base":6}}},"used_operators":["QbnwKVWMIQ","dWAJyo7jo9","DO4fhlbJSI"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","k8jYdgA6NY","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM"],"result":"↹⩛-312","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2749","layer":2},{"info":"number node, value=7531","layer":2},{"info":"compute binary expreesion, left_input=2749, right_input=7531, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=4646","layer":2},{"info":"compute unary expreesion, input=4646, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-19322","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-19322, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":0}],"base":6,"result_base":6,"text":"(↹⩛20421⪢↹⩛54511)⪥(⊿↹⩛33302)=↹⩛-312","reverse_text":"↹⩛-312=(↹⩛20421⪢↹⩛54511)⪥(⊿↹⩛33302)","cot":[{"info":"↹⩛20421⪢↹⩛54511=NaN","layer":1},{"info":"⊿↹⩛33302=↹⩛-225242","layer":1},{"info":"NaN⪥↹⩛-225242=↹⩛-312","layer":0}]}
{"id":920,"expression_no_base_symbol":"(⨰⫟⨤$1389$)⩷∴($6803$⩺⋐⫨)","expression":"(⨰⫟⨤↹⩛10233)⩷∴(↹⩛51255⩺⋐⫨)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5287,"operation_count":3,"complexity_ratio":1762.3333333333333,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1389,"base":6}},"right_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":6803,"base":6}}},"used_operators":["9FxExcQeMw","Tw270M8GLb","yS9ePUuUdn"],"dependent_operators":["rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1389","layer":2},{"info":"compute unary expreesion, input=1389, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=6803","layer":2},{"info":"compute unary expreesion, input=6803, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⨰⫟⨤↹⩛10233)⩷∴(↹⩛51255⩺⋐⫨)=NaN","reverse_text":"NaN=(⨰⫟⨤↹⩛10233)⩷∴(↹⩛51255⩺⋐⫨)","cot":[{"info":"⨰⫟⨤↹⩛10233=NaN","layer":1},{"info":"↹⩛51255⩺⋐⫨=↹⩛0","layer":1},{"info":"NaN⩷∴↹⩛0=NaN","layer":0}]}
{"id":921,"expression_no_base_symbol":"$1318$⋛$2733$⪨⊡$1202$⇤$7341$","expression":"↹⩛10034⋛↹⩛20353⪨⊡↹⩛5322⇤↹⩛53553","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":299,"operation_count":3,"complexity_ratio":99.66666666666667,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1318,"base":6},"right_expr":{"type":"numeric_atoms","value":2733,"base":6}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1202,"base":6},"right_expr":{"type":"numeric_atoms","value":7341,"base":6}}},"used_operators":["kuIXHzHcAH","YbUVn0Rbpy","YSKBFp38Pu"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"↹⩛3233533","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1318","layer":2},{"info":"number node, value=2733","layer":2},{"info":"compute binary expreesion, left_input=1318, right_input=2733, 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=-120330","layer":1},{"info":"number node, value=1202","layer":2},{"info":"number node, value=7341","layer":2},{"info":"compute binary expreesion, left_input=1202, right_input=7341, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-39867","layer":1},{"info":"compute binary expreesion, left_input=-120330, right_input=-39867, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=160257","layer":0}],"base":6,"result_base":6,"text":"↹⩛10034⋛↹⩛20353⪨⊡↹⩛5322⇤↹⩛53553=↹⩛3233533","reverse_text":"↹⩛3233533=↹⩛10034⋛↹⩛20353⪨⊡↹⩛5322⇤↹⩛53553","cot":[{"info":"↹⩛10034⋛↹⩛20353=↹⩛-2325030","layer":1},{"info":"↹⩛5322⇤↹⩛53553=↹⩛-504323","layer":1},{"info":"↹⩛-2325030⪨⊡↹⩛-504323=↹⩛3233533","layer":0}]}
{"id":922,"expression_no_base_symbol":"$1302$⊋$5858$∙⊟$2089$⨐⩸⫘$2286$","expression":"↹⩛10010⊋↹⩛43042∙⊟↹⩛13401⨐⩸⫘↹⩛14330","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9129,"operation_count":3,"complexity_ratio":3043.0,"tree":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1302,"base":6},"right_expr":{"type":"numeric_atoms","value":5858,"base":6}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2089,"base":6},"right_expr":{"type":"numeric_atoms","value":2286,"base":6}}},"used_operators":["SxTAKzQCrw","W4tP9CfskL","fu6greOZ01"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","3ViojmjbAp"],"result":"Inf","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1302","layer":2},{"info":"number node, value=5858","layer":2},{"info":"compute binary expreesion, left_input=1302, right_input=5858, 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=-208775740","layer":1},{"info":"number node, value=2089","layer":2},{"info":"number node, value=2286","layer":2},{"info":"compute binary expreesion, left_input=2089, right_input=2286, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-208775740, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=inf","layer":0}],"base":6,"result_base":6,"text":"↹⩛10010⊋↹⩛43042∙⊟↹⩛13401⨐⩸⫘↹⩛14330=Inf","reverse_text":"Inf=↹⩛10010⊋↹⩛43042∙⊟↹⩛13401⨐⩸⫘↹⩛14330","cot":[{"info":"↹⩛10010⊋↹⩛43042=↹⩛-32414442204","layer":1},{"info":"↹⩛13401⨐⩸⫘↹⩛14330=NaN","layer":1},{"info":"↹⩛-32414442204∙⊟NaN=Inf","layer":0}]}
{"id":923,"expression_no_base_symbol":"(⊢≑≆$3422$)↫","expression":"(⊢≑≆↹⩛23502)↫","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12,"operation_count":2,"complexity_ratio":6.0,"tree":{"type":"unary","operator":"↫","unary_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":3422,"base":6}}},"used_operators":["uPb5QRN0te","27wFxooxGf"],"dependent_operators":["i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3422","layer":2},{"info":"compute unary expreesion, input=3422, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=14140","layer":1},{"info":"compute unary expreesion, input=14140, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":0}],"base":6,"result_base":6,"text":"(⊢≑≆↹⩛23502)↫=↹⩛424","reverse_text":"↹⩛424=(⊢≑≆↹⩛23502)↫","cot":[{"info":"⊢≑≆↹⩛23502=↹⩛145244","layer":1},{"info":"↹⩛145244↫=↹⩛424","layer":0}]}
{"id":924,"expression_no_base_symbol":"$1083$⩍⋽⫝̸$1235$⋭≵$1947$∴$6362$","expression":"↹⩛5003⩍⋽⫝̸↹⩛5415⋭≵↹⩛13003∴↹⩛45242","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":41,"operation_count":3,"complexity_ratio":13.666666666666666,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1083,"base":6},"right_expr":{"type":"numeric_atoms","value":1235,"base":6}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1947,"base":6},"right_expr":{"type":"numeric_atoms","value":6362,"base":6}}},"used_operators":["jBncVCNhdl","BiWNJpBvwn","hrf7POJlIJ"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"↹⩛3123","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1083","layer":2},{"info":"number node, value=1235","layer":2},{"info":"compute binary expreesion, left_input=1083, right_input=1235, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=289","layer":1},{"info":"number node, value=1947","layer":2},{"info":"number node, value=6362","layer":2},{"info":"compute binary expreesion, left_input=1947, right_input=6362, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5542","layer":1},{"info":"compute binary expreesion, left_input=289, right_input=5542, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=699","layer":0}],"base":6,"result_base":6,"text":"↹⩛5003⩍⋽⫝̸↹⩛5415⋭≵↹⩛13003∴↹⩛45242=↹⩛3123","reverse_text":"↹⩛3123=↹⩛5003⩍⋽⫝̸↹⩛5415⋭≵↹⩛13003∴↹⩛45242","cot":[{"info":"↹⩛5003⩍⋽⫝̸↹⩛5415=↹⩛1201","layer":1},{"info":"↹⩛13003∴↹⩛45242=↹⩛41354","layer":1},{"info":"↹⩛1201⋭≵↹⩛41354=↹⩛3123","layer":0}]}
{"id":925,"expression_no_base_symbol":"($2518$⊍⩺⋍$1040$)∇⊂⋱$5383$⨸$1641$","expression":"(↹⩛15354⊍⩺⋍↹⩛4452)∇⊂⋱↹⩛40531⨸↹⩛11333","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5716,"operation_count":3,"complexity_ratio":1905.3333333333333,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2518,"base":6},"right_expr":{"type":"numeric_atoms","value":1040,"base":6}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":5383,"base":6},"right_expr":{"type":"numeric_atoms","value":1641,"base":6}}},"used_operators":["nhYeJWJD5X","OXDGMFPWZM","KmoU8R5UQR"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2518","layer":2},{"info":"number node, value=1040","layer":2},{"info":"compute binary expreesion, left_input=2518, right_input=1040, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"number node, value=5383","layer":2},{"info":"number node, value=1641","layer":2},{"info":"compute binary expreesion, left_input=5383, right_input=1641, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=10766","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=10766, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛15354⊍⩺⋍↹⩛4452)∇⊂⋱↹⩛40531⨸↹⩛11333=NaN","reverse_text":"NaN=(↹⩛15354⊍⩺⋍↹⩛4452)∇⊂⋱↹⩛40531⨸↹⩛11333","cot":[{"info":"↹⩛15354⊍⩺⋍↹⩛4452=NaN","layer":1},{"info":"↹⩛40531⨸↹⩛11333=↹⩛121502","layer":1},{"info":"NaN∇⊂⋱↹⩛121502=NaN","layer":0}]}
{"id":926,"expression_no_base_symbol":"⊙↵-($3456$⊲⩕⊾$5009$)","expression":"⊙↵-(↹⩛24000⊲⩕⊾↹⩛35105)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":102073,"operation_count":2,"complexity_ratio":51036.5,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":3456,"base":6},"right_expr":{"type":"numeric_atoms","value":5009,"base":6}}},"used_operators":["oWn0xqSxBt","DmTXOeWf9t"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"↹⩛524","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3456","layer":2},{"info":"number node, value=5009","layer":2},{"info":"compute binary expreesion, left_input=3456, right_input=5009, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-102016","layer":1},{"info":"compute unary expreesion, input=-102016, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":0}],"base":6,"result_base":6,"text":"⊙↵-(↹⩛24000⊲⩕⊾↹⩛35105)=↹⩛524","reverse_text":"↹⩛524=⊙↵-(↹⩛24000⊲⩕⊾↹⩛35105)","cot":[{"info":"↹⩛24000⊲⩕⊾↹⩛35105=↹⩛-2104144","layer":1},{"info":"⊙↵-↹⩛-2104144=↹⩛524","layer":0}]}
{"id":927,"expression_no_base_symbol":"⪛⨧($2173$⊍)","expression":"⪛⨧(↹⩛14021⊍)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":21,"operation_count":2,"complexity_ratio":10.5,"tree":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":2173,"base":6}}},"used_operators":["6NJAcO2OWT","3nqY3DE9mg"],"dependent_operators":["JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM"],"result":"↹⩛123143","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2173","layer":2},{"info":"compute unary expreesion, input=2173, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=4839","layer":1},{"info":"compute unary expreesion, input=4839, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=11079","layer":0}],"base":6,"result_base":6,"text":"⪛⨧(↹⩛14021⊍)=↹⩛123143","reverse_text":"↹⩛123143=⪛⨧(↹⩛14021⊍)","cot":[{"info":"↹⩛14021⊍=↹⩛34223","layer":1},{"info":"⪛⨧↹⩛34223=↹⩛123143","layer":0}]}
{"id":928,"expression_no_base_symbol":"($6014$⋷$2421$)⪭≯($1402$⩵∡$3387$)","expression":"(↹⩛43502⋷↹⩛15113)⪭≯(↹⩛10254⩵∡↹⩛23403)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6219,"operation_count":3,"complexity_ratio":2073.0,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6014,"base":6},"right_expr":{"type":"numeric_atoms","value":2421,"base":6}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1402,"base":6},"right_expr":{"type":"numeric_atoms","value":3387,"base":6}}},"used_operators":["XAx5wpdLa6","23Mk6UjR3U","Y7wcNGrDQJ"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=6014","layer":2},{"info":"number node, value=2421","layer":2},{"info":"compute binary expreesion, left_input=6014, right_input=2421, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1172","layer":1},{"info":"number node, value=1402","layer":2},{"info":"number node, value=3387","layer":2},{"info":"compute binary expreesion, left_input=1402, right_input=3387, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=462","layer":1},{"info":"compute binary expreesion, left_input=-1172, right_input=462, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛43502⋷↹⩛15113)⪭≯(↹⩛10254⩵∡↹⩛23403)=NaN","reverse_text":"NaN=(↹⩛43502⋷↹⩛15113)⪭≯(↹⩛10254⩵∡↹⩛23403)","cot":[{"info":"↹⩛43502⋷↹⩛15113=↹⩛-5232","layer":1},{"info":"↹⩛10254⩵∡↹⩛23403=↹⩛2050","layer":1},{"info":"↹⩛-5232⪭≯↹⩛2050=NaN","layer":0}]}
{"id":929,"expression_no_base_symbol":"$1805$⪚$2482$∐⫣","expression":"↹⩛12205⪚↹⩛15254∐⫣","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":31,"operation_count":2,"complexity_ratio":15.5,"tree":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1805,"base":6},"right_expr":{"type":"numeric_atoms","value":2482,"base":6}}},"used_operators":["4CyGpkTkEk","HrjLwUk87U"],"dependent_operators":["XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"↹⩛2315","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1805","layer":2},{"info":"number node, value=2482","layer":2},{"info":"compute binary expreesion, left_input=1805, right_input=2482, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-1710","layer":1},{"info":"compute unary expreesion, input=-1710, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":0}],"base":6,"result_base":6,"text":"↹⩛12205⪚↹⩛15254∐⫣=↹⩛2315","reverse_text":"↹⩛2315=↹⩛12205⪚↹⩛15254∐⫣","cot":[{"info":"↹⩛12205⪚↹⩛15254=↹⩛-11530","layer":1},{"info":"↹⩛-11530∐⫣=↹⩛2315","layer":0}]}
{"id":930,"expression_no_base_symbol":"($5615$⪭≯$2760$)⇴$3380$↢$4502$","expression":"(↹⩛41555⪭≯↹⩛20440)⇴↹⩛23352↢↹⩛32502","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":209,"operation_count":3,"complexity_ratio":69.66666666666667,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":5615,"base":6},"right_expr":{"type":"numeric_atoms","value":2760,"base":6}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":3380,"base":6},"right_expr":{"type":"numeric_atoms","value":4502,"base":6}}},"used_operators":["4JB6nKBMSY","XAx5wpdLa6","WR6HLWljOP"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5615","layer":2},{"info":"number node, value=2760","layer":2},{"info":"compute binary expreesion, left_input=5615, right_input=2760, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"number node, value=3380","layer":2},{"info":"number node, value=4502","layer":2},{"info":"compute binary expreesion, left_input=3380, right_input=4502, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2896","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2896, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛41555⪭≯↹⩛20440)⇴↹⩛23352↢↹⩛32502=NaN","reverse_text":"NaN=(↹⩛41555⪭≯↹⩛20440)⇴↹⩛23352↢↹⩛32502","cot":[{"info":"↹⩛41555⪭≯↹⩛20440=NaN","layer":1},{"info":"↹⩛23352↢↹⩛32502=↹⩛21224","layer":1},{"info":"NaN⇴↹⩛21224=NaN","layer":0}]}
{"id":931,"expression_no_base_symbol":"$5448$≝⊿$5995$⋣⋖(⇈$1800$)","expression":"↹⩛41120≝⊿↹⩛43431⋣⋖(⇈↹⩛12200)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4447,"operation_count":3,"complexity_ratio":1482.3333333333333,"tree":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":5448,"base":6},"right_expr":{"type":"numeric_atoms","value":5995,"base":6}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":1800,"base":6}}},"used_operators":["J0M6qkBnIM","OKKcZfAt5B","SLLxy00UIr"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","12rbrZMWeM","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ"],"result":"↹⩛-2235","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5448","layer":2},{"info":"number node, value=5995","layer":2},{"info":"compute binary expreesion, left_input=5448, right_input=5995, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-17971","layer":1},{"info":"number node, value=1800","layer":2},{"info":"compute unary expreesion, input=1800, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=-17971, right_input=-447, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-527","layer":0}],"base":6,"result_base":6,"text":"↹⩛41120≝⊿↹⩛43431⋣⋖(⇈↹⩛12200)=↹⩛-2235","reverse_text":"↹⩛-2235=↹⩛41120≝⊿↹⩛43431⋣⋖(⇈↹⩛12200)","cot":[{"info":"↹⩛41120≝⊿↹⩛43431=↹⩛-215111","layer":1},{"info":"⇈↹⩛12200=↹⩛-2023","layer":1},{"info":"↹⩛-215111⋣⋖↹⩛-2023=↹⩛-2235","layer":0}]}
{"id":932,"expression_no_base_symbol":"$5512$⫞⩸⩒$2497$⪪($3899$⪮%⊝$2269$)","expression":"↹⩛41304⫞⩸⩒↹⩛15321⪪(↹⩛30015⪮%⊝↹⩛14301)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7651,"operation_count":3,"complexity_ratio":2550.3333333333335,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":5512,"base":6},"right_expr":{"type":"numeric_atoms","value":2497,"base":6}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3899,"base":6},"right_expr":{"type":"numeric_atoms","value":2269,"base":6}}},"used_operators":["xD69zh8xqp","XGcMNugi78","IWmyXbctLI"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"↹⩛-11555252","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5512","layer":2},{"info":"number node, value=2497","layer":2},{"info":"compute binary expreesion, left_input=5512, right_input=2497, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2497","layer":1},{"info":"number node, value=3899","layer":2},{"info":"number node, value=2269","layer":2},{"info":"compute binary expreesion, left_input=3899, right_input=2269, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8114","layer":1},{"info":"compute binary expreesion, left_input=2497, right_input=8114, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-373136","layer":0}],"base":6,"result_base":6,"text":"↹⩛41304⫞⩸⩒↹⩛15321⪪(↹⩛30015⪮%⊝↹⩛14301)=↹⩛-11555252","reverse_text":"↹⩛-11555252=↹⩛41304⫞⩸⩒↹⩛15321⪪(↹⩛30015⪮%⊝↹⩛14301)","cot":[{"info":"↹⩛41304⫞⩸⩒↹⩛15321=↹⩛15321","layer":1},{"info":"↹⩛30015⪮%⊝↹⩛14301=↹⩛101322","layer":1},{"info":"↹⩛15321⪪↹⩛101322=↹⩛-11555252","layer":0}]}
{"id":933,"expression_no_base_symbol":"$7894$⫣⪄⊒$4024$∛≔","expression":"↹⩛100314⫣⪄⊒↹⩛30344∛≔","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9233,"operation_count":2,"complexity_ratio":4616.5,"tree":{"type":"unary","operator":"∛≔","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":7894,"base":6},"right_expr":{"type":"numeric_atoms","value":4024,"base":6}}},"used_operators":["mGnSCrte3L","RabNbG55vr"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"↹⩛-10313211","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7894","layer":2},{"info":"number node, value=4024","layer":2},{"info":"compute binary expreesion, left_input=7894, right_input=4024, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-8868","layer":1},{"info":"compute unary expreesion, input=-8868, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":0}],"base":6,"result_base":6,"text":"↹⩛100314⫣⪄⊒↹⩛30344∛≔=↹⩛-10313211","reverse_text":"↹⩛-10313211=↹⩛100314⫣⪄⊒↹⩛30344∛≔","cot":[{"info":"↹⩛100314⫣⪄⊒↹⩛30344=↹⩛-105020","layer":1},{"info":"↹⩛-105020∛≔=↹⩛-10313211","layer":0}]}
{"id":934,"expression_no_base_symbol":"⇁⨣⪵$5030$⩌⋺$1102$","expression":"⇁⨣⪵↹⩛35142⩌⋺↹⩛5034","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":2,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":5030,"base":6},"right_expr":{"type":"numeric_atoms","value":1102,"base":6}}},"used_operators":["inkyxCbjAn","g7Hmc5v1ko"],"dependent_operators":["B5M0gjZbta","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5030","layer":2},{"info":"number node, value=1102","layer":2},{"info":"compute binary expreesion, left_input=5030, right_input=1102, 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=-6253","layer":1},{"info":"compute unary expreesion, input=-6253, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⇁⨣⪵↹⩛35142⩌⋺↹⩛5034=NaN","reverse_text":"NaN=⇁⨣⪵↹⩛35142⩌⋺↹⩛5034","cot":[{"info":"↹⩛35142⩌⋺↹⩛5034=↹⩛-44541","layer":1},{"info":"⇁⨣⪵↹⩛-44541=NaN","layer":0}]}
{"id":935,"expression_no_base_symbol":"($3272$∀⇚≩$2297$)⇤$5571$⨜⨶$4835$","expression":"(↹⩛23052∀⇚≩↹⩛14345)⇤↹⩛41443⨜⨶↹⩛34215","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22947,"operation_count":3,"complexity_ratio":7649.0,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3272,"base":6},"right_expr":{"type":"numeric_atoms","value":2297,"base":6}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":5571,"base":6},"right_expr":{"type":"numeric_atoms","value":4835,"base":6}}},"used_operators":["YSKBFp38Pu","LRNGc0VcxI","HiPekx5b7W"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","X99M06cbEe","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3272","layer":2},{"info":"number node, value=2297","layer":2},{"info":"compute binary expreesion, left_input=3272, right_input=2297, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=5571","layer":2},{"info":"number node, value=4835","layer":2},{"info":"compute binary expreesion, left_input=5571, right_input=4835, 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=-9414","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-9414, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(↹⩛23052∀⇚≩↹⩛14345)⇤↹⩛41443⨜⨶↹⩛34215=NaN","reverse_text":"NaN=(↹⩛23052∀⇚≩↹⩛14345)⇤↹⩛41443⨜⨶↹⩛34215","cot":[{"info":"↹⩛23052∀⇚≩↹⩛14345=NaN","layer":1},{"info":"↹⩛41443⨜⨶↹⩛34215=↹⩛-111330","layer":1},{"info":"NaN⇤↹⩛-111330=NaN","layer":0}]}
{"id":936,"expression_no_base_symbol":"(⨡↴$1457$)⇔⨋","expression":"(⨡↴↹⩛10425)⇔⨋","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":32,"operation_count":2,"complexity_ratio":16.0,"tree":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":1457,"base":6}}},"used_operators":["uBihLCJcMX","liw5iZPkLH"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","P8v4zCKN1o"],"result":"↹⩛144354","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1457","layer":2},{"info":"compute unary expreesion, input=1457, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=2506","layer":1},{"info":"compute unary expreesion, input=2506, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=13966","layer":0}],"base":6,"result_base":6,"text":"(⨡↴↹⩛10425)⇔⨋=↹⩛144354","reverse_text":"↹⩛144354=(⨡↴↹⩛10425)⇔⨋","cot":[{"info":"⨡↴↹⩛10425=↹⩛15334","layer":1},{"info":"↹⩛15334⇔⨋=↹⩛144354","layer":0}]}
{"id":937,"expression_no_base_symbol":"⋃$2919$⋹⋡⊁$1047$","expression":"⋃↹⩛21303⋹⋡⊁↹⩛4503","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":62537,"operation_count":2,"complexity_ratio":31268.5,"tree":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2919,"base":6},"right_expr":{"type":"numeric_atoms","value":1047,"base":6}}},"used_operators":["3mBM5G4a3l","As8RqfVLgs"],"dependent_operators":["g55IO6H4Gj","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"↹⩛25040","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2919","layer":2},{"info":"number node, value=1047","layer":2},{"info":"compute binary expreesion, left_input=2919, right_input=1047, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1797","layer":1},{"info":"compute unary expreesion, input=1797, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=3696","layer":0}],"base":6,"result_base":6,"text":"⋃↹⩛21303⋹⋡⊁↹⩛4503=↹⩛25040","reverse_text":"↹⩛25040=⋃↹⩛21303⋹⋡⊁↹⩛4503","cot":[{"info":"↹⩛21303⋹⋡⊁↹⩛4503=↹⩛12153","layer":1},{"info":"⋃↹⩛12153=↹⩛25040","layer":0}]}
{"id":938,"expression_no_base_symbol":"$1100$⪛⫼$3642$∽$1585$⪃⊛⇣$1465$","expression":"↹⩛5032⪛⫼↹⩛24510∽↹⩛11201⪃⊛⇣↹⩛10441","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":683,"operation_count":3,"complexity_ratio":227.66666666666666,"tree":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1100,"base":6},"right_expr":{"type":"numeric_atoms","value":3642,"base":6}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1585,"base":6},"right_expr":{"type":"numeric_atoms","value":1465,"base":6}}},"used_operators":["y4ImoPnbV5","hyuBjUqXlG","rrgAzCduG9"],"dependent_operators":["NTOWxs364D","QMFrweE19q","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"↹⩛-102420","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1100","layer":2},{"info":"number node, value=3642","layer":2},{"info":"compute binary expreesion, left_input=1100, right_input=3642, 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=1585","layer":2},{"info":"number node, value=1465","layer":2},{"info":"compute binary expreesion, left_input=1585, right_input=1465, 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=968, right_input=1234, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-8364","layer":0}],"base":6,"result_base":6,"text":"↹⩛5032⪛⫼↹⩛24510∽↹⩛11201⪃⊛⇣↹⩛10441=↹⩛-102420","reverse_text":"↹⩛-102420=↹⩛5032⪛⫼↹⩛24510∽↹⩛11201⪃⊛⇣↹⩛10441","cot":[{"info":"↹⩛5032⪛⫼↹⩛24510=↹⩛4252","layer":1},{"info":"↹⩛11201⪃⊛⇣↹⩛10441=↹⩛5414","layer":1},{"info":"↹⩛4252∽↹⩛5414=↹⩛-102420","layer":0}]}
{"id":939,"expression_no_base_symbol":"$3011$⋳⪒$1392$∝($2298$⊉≛↸$1174$)","expression":"↹⩛21535⋳⪒↹⩛10240∝(↹⩛14350⊉≛↸↹⩛5234)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":18,"operation_count":3,"complexity_ratio":6.0,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3011,"base":6},"right_expr":{"type":"numeric_atoms","value":1392,"base":6}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2298,"base":6},"right_expr":{"type":"numeric_atoms","value":1174,"base":6}}},"used_operators":["cTDWOvIxvz","12rbrZMWeM","DZ8iAZOCBD"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛32044","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3011","layer":2},{"info":"number node, value=1392","layer":2},{"info":"compute binary expreesion, left_input=3011, right_input=1392, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4343","layer":1},{"info":"number node, value=2298","layer":2},{"info":"number node, value=1174","layer":2},{"info":"compute binary expreesion, left_input=2298, right_input=1174, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4596","layer":1},{"info":"compute binary expreesion, left_input=4343, right_input=4596, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=4348","layer":0}],"base":6,"result_base":6,"text":"↹⩛21535⋳⪒↹⩛10240∝(↹⩛14350⊉≛↸↹⩛5234)=↹⩛32044","reverse_text":"↹⩛32044=↹⩛21535⋳⪒↹⩛10240∝(↹⩛14350⊉≛↸↹⩛5234)","cot":[{"info":"↹⩛21535⋳⪒↹⩛10240=↹⩛32035","layer":1},{"info":"↹⩛14350⊉≛↸↹⩛5234=↹⩛33140","layer":1},{"info":"↹⩛32035∝↹⩛33140=↹⩛32044","layer":0}]}
{"id":940,"expression_no_base_symbol":"(⇘$8131$)∌$6325$≦↸$1073$","expression":"(⇘↹⩛101351)∌↹⩛45141≦↸↹⩛4545","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16330,"operation_count":3,"complexity_ratio":5443.333333333333,"tree":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":8131,"base":6}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":6325,"base":6},"right_expr":{"type":"numeric_atoms","value":1073,"base":6}}},"used_operators":["8cLx32lpNA","MGuIdZPyUC","RygbFNSyEJ"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"↹⩛145203","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8131","layer":2},{"info":"compute unary expreesion, input=8131, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=482242","layer":1},{"info":"number node, value=6325","layer":2},{"info":"number node, value=1073","layer":2},{"info":"compute binary expreesion, left_input=6325, right_input=1073, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-14115","layer":1},{"info":"compute binary expreesion, left_input=482242, right_input=-14115, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=14115","layer":0}],"base":6,"result_base":6,"text":"(⇘↹⩛101351)∌↹⩛45141≦↸↹⩛4545=↹⩛145203","reverse_text":"↹⩛145203=(⇘↹⩛101351)∌↹⩛45141≦↸↹⩛4545","cot":[{"info":"⇘↹⩛101351=↹⩛14200334","layer":1},{"info":"↹⩛45141≦↸↹⩛4545=↹⩛-145203","layer":1},{"info":"↹⩛14200334∌↹⩛-145203=↹⩛145203","layer":0}]}
{"id":941,"expression_no_base_symbol":"⫛⫱⨽($1106$⨹)","expression":"⫛⫱⨽(↹⩛5042⨹)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4634,"operation_count":2,"complexity_ratio":2317.0,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"numeric_atoms","value":1106,"base":6}}},"used_operators":["DlLNRPXxWL","UnCoSGIALn"],"dependent_operators":["rGHVDoGpnC","mp7IySMOzn"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1106","layer":2},{"info":"compute unary expreesion, input=1106, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=2212","layer":1},{"info":"compute unary expreesion, input=2212, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":6,"result_base":6,"text":"⫛⫱⨽(↹⩛5042⨹)=↹⩛0","reverse_text":"↹⩛0=⫛⫱⨽(↹⩛5042⨹)","cot":[{"info":"↹⩛5042⨹=↹⩛14124","layer":1},{"info":"⫛⫱⨽↹⩛14124=↹⩛0","layer":0}]}
{"id":942,"expression_no_base_symbol":"↩⪖($3629$⩤)","expression":"↩⪖(↹⩛24445⩤)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":21,"operation_count":2,"complexity_ratio":10.5,"tree":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3629,"base":6}}},"used_operators":["fG6uBQFnGz","Z2TMIBDE3Q"],"dependent_operators":["rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛1013020","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3629","layer":2},{"info":"compute unary expreesion, input=3629, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3629","layer":1},{"info":"compute unary expreesion, input=-3629, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=48612","layer":0}],"base":6,"result_base":6,"text":"↩⪖(↹⩛24445⩤)=↹⩛1013020","reverse_text":"↹⩛1013020=↩⪖(↹⩛24445⩤)","cot":[{"info":"↹⩛24445⩤=↹⩛-24445","layer":1},{"info":"↩⪖↹⩛-24445=↹⩛1013020","layer":0}]}
{"id":943,"expression_no_base_symbol":"(⇖$8594$)⩭","expression":"(⇖↹⩛103442)⩭","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":62173,"operation_count":2,"complexity_ratio":31086.5,"tree":{"type":"unary","operator":"⩭","unary_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":8594,"base":6}}},"used_operators":["yIPP7u6H5x","tfWHHpNKUN"],"dependent_operators":["nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","2DQ55sFlQl"],"result":"↹⩛1342","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8594","layer":2},{"info":"compute unary expreesion, input=8594, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=350","layer":0}],"base":6,"result_base":6,"text":"(⇖↹⩛103442)⩭=↹⩛1342","reverse_text":"↹⩛1342=(⇖↹⩛103442)⩭","cot":[{"info":"⇖↹⩛103442=↹⩛424","layer":1},{"info":"↹⩛424⩭=↹⩛1342","layer":0}]}
{"id":944,"expression_no_base_symbol":"+⊝⨔(≤/$1576$)","expression":"+⊝⨔(≤/↹⩛11144)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":21,"operation_count":2,"complexity_ratio":10.5,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1576,"base":6}}},"used_operators":["DhbWaqg5eL","eLAdDNolq6"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z"],"result":"↹⩛11014","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1576","layer":2},{"info":"compute unary expreesion, input=1576, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1092","layer":1},{"info":"compute unary expreesion, input=-1092, 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":6,"result_base":6,"text":"+⊝⨔(≤/↹⩛11144)=↹⩛11014","reverse_text":"↹⩛11014=+⊝⨔(≤/↹⩛11144)","cot":[{"info":"≤/↹⩛11144=↹⩛-5020","layer":1},{"info":"+⊝⨔↹⩛-5020=↹⩛11014","layer":0}]}
{"id":945,"expression_no_base_symbol":"⊲⪭(⩩$1342$)","expression":"⊲⪭(⩩↹⩛10114)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2281,"operation_count":2,"complexity_ratio":1140.5,"tree":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":1342,"base":6}}},"used_operators":["k7HXdKtiEU","kMhfGuqI2H"],"dependent_operators":["i8ToyICDmI","xUOZtlo3hN","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1342","layer":2},{"info":"compute unary expreesion, input=1342, 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":6,"result_base":6,"text":"⊲⪭(⩩↹⩛10114)=NaN","reverse_text":"NaN=⊲⪭(⩩↹⩛10114)","cot":[{"info":"⩩↹⩛10114=NaN","layer":1},{"info":"⊲⪭NaN=NaN","layer":0}]}
{"id":946,"expression_no_base_symbol":"⨴⫝$1652$∴$3607$","expression":"⨴⫝↹⩛11352∴↹⩛24411","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1828,"operation_count":2,"complexity_ratio":914.0,"tree":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1652,"base":6},"right_expr":{"type":"numeric_atoms","value":3607,"base":6}}},"used_operators":["SVb2v531z1","hrf7POJlIJ"],"dependent_operators":["oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"↹⩛140341302","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1652","layer":2},{"info":"number node, value=3607","layer":2},{"info":"compute binary expreesion, left_input=1652, right_input=3607, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=4952","layer":1},{"info":"compute unary expreesion, input=4952, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":0}],"base":6,"result_base":6,"text":"⨴⫝↹⩛11352∴↹⩛24411=↹⩛140341302","reverse_text":"↹⩛140341302=⨴⫝↹⩛11352∴↹⩛24411","cot":[{"info":"↹⩛11352∴↹⩛24411=↹⩛34532","layer":1},{"info":"⨴⫝↹⩛34532=↹⩛140341302","layer":0}]}
{"id":947,"expression_no_base_symbol":"(∑⇻≧$1907$)⨚($5367$⋻⩜⩜$1023$)","expression":"(∑⇻≧↹⩛12455)⨚(↹⩛40503⋻⩜⩜↹⩛4423)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14346,"operation_count":3,"complexity_ratio":4782.0,"tree":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":1907,"base":6}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":5367,"base":6},"right_expr":{"type":"numeric_atoms","value":1023,"base":6}}},"used_operators":["nREPSIbpBE","l1M9WJ3V7u","oDCm7WA9JY"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"↹⩛-534202","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1907","layer":2},{"info":"compute unary expreesion, input=1907, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":1},{"info":"number node, value=5367","layer":2},{"info":"number node, value=1023","layer":2},{"info":"compute binary expreesion, left_input=5367, right_input=1023, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=10734","layer":1},{"info":"compute binary expreesion, left_input=-852, right_input=10734, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-43706","layer":0}],"base":6,"result_base":6,"text":"(∑⇻≧↹⩛12455)⨚(↹⩛40503⋻⩜⩜↹⩛4423)=↹⩛-534202","reverse_text":"↹⩛-534202=(∑⇻≧↹⩛12455)⨚(↹⩛40503⋻⩜⩜↹⩛4423)","cot":[{"info":"∑⇻≧↹⩛12455=↹⩛-3540","layer":1},{"info":"↹⩛40503⋻⩜⩜↹⩛4423=↹⩛121410","layer":1},{"info":"↹⩛-3540⨚↹⩛121410=↹⩛-534202","layer":0}]}
{"id":948,"expression_no_base_symbol":"($1046$⫠)⨀⨒","expression":"(↹⩛4502⫠)⨀⨒","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14705,"operation_count":2,"complexity_ratio":7352.5,"tree":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":1046,"base":6}}},"used_operators":["j6NVkjMzuk","6SnOT2rOjz"],"dependent_operators":["E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn"],"result":"↹⩛-15040","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1046","layer":2},{"info":"compute unary expreesion, input=1046, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":1},{"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":0}],"base":6,"result_base":6,"text":"(↹⩛4502⫠)⨀⨒=↹⩛-15040","reverse_text":"↹⩛-15040=(↹⩛4502⫠)⨀⨒","cot":[{"info":"↹⩛4502⫠=↹⩛0","layer":1},{"info":"↹⩛0⨀⨒=↹⩛-15040","layer":0}]}
{"id":949,"expression_no_base_symbol":"($2067$∙⊟$9884$)↦","expression":"(↹⩛13323∙⊟↹⩛113432)↦","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":244829,"operation_count":2,"complexity_ratio":122414.5,"tree":{"type":"unary","operator":"↦","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2067,"base":6},"right_expr":{"type":"numeric_atoms","value":9884,"base":6}}},"used_operators":["fFznvYxMfW","SxTAKzQCrw"],"dependent_operators":["L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2067","layer":2},{"info":"number node, value=9884","layer":2},{"info":"compute binary expreesion, left_input=2067, right_input=9884, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=36717","layer":1},{"info":"compute unary expreesion, input=36717, 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":6,"result_base":6,"text":"(↹⩛13323∙⊟↹⩛113432)↦=NaN","reverse_text":"NaN=(↹⩛13323∙⊟↹⩛113432)↦","cot":[{"info":"↹⩛13323∙⊟↹⩛113432=↹⩛441553","layer":1},{"info":"↹⩛441553↦=NaN","layer":0}]}
{"id":950,"expression_no_base_symbol":"⇙⪊($4107$⇷$2722$)","expression":"⇙⪊(↹⩛31003⇷↹⩛20334)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":57510,"operation_count":2,"complexity_ratio":28755.0,"tree":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4107,"base":6},"right_expr":{"type":"numeric_atoms","value":2722,"base":6}}},"used_operators":["pB6Fcnrjim","mp7IySMOzn"],"dependent_operators":["DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4107","layer":2},{"info":"number node, value=2722","layer":2},{"info":"compute binary expreesion, left_input=4107, right_input=2722, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5444","layer":1},{"info":"compute unary expreesion, input=5444, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"⇙⪊(↹⩛31003⇷↹⩛20334)=↹⩛0","reverse_text":"↹⩛0=⇙⪊(↹⩛31003⇷↹⩛20334)","cot":[{"info":"↹⩛31003⇷↹⩛20334=↹⩛41112","layer":1},{"info":"⇙⪊↹⩛41112=↹⩛0","layer":0}]}
{"id":951,"expression_no_base_symbol":"($2220$∲⫓$1056$)⨑≵⋬($3436$⊘)","expression":"(↹⩛14140∲⫓↹⩛4520)⨑≵⋬(↹⩛23524⊘)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":41,"operation_count":3,"complexity_ratio":13.666666666666666,"tree":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2220,"base":6},"right_expr":{"type":"numeric_atoms","value":1056,"base":6}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3436,"base":6}}},"used_operators":["XnXgA4xnOs","i8ToyICDmI","gu96TGCTMs"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"↹⩛15055","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2220","layer":2},{"info":"number node, value=1056","layer":2},{"info":"compute binary expreesion, left_input=2220, right_input=1056, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=3436","layer":2},{"info":"compute unary expreesion, input=3436, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=2411","layer":0}],"base":6,"result_base":6,"text":"(↹⩛14140∲⫓↹⩛4520)⨑≵⋬(↹⩛23524⊘)=↹⩛15055","reverse_text":"↹⩛15055=(↹⩛14140∲⫓↹⩛4520)⨑≵⋬(↹⩛23524⊘)","cot":[{"info":"↹⩛14140∲⫓↹⩛4520=↹⩛0","layer":1},{"info":"↹⩛23524⊘=↹⩛0","layer":1},{"info":"↹⩛0⨑≵⋬↹⩛0=↹⩛15055","layer":0}]}
{"id":952,"expression_no_base_symbol":"($2176$⪍↜⋙$1833$)⩠","expression":"(↹⩛14024⪍↜⋙↹⩛12253)⩠","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":35,"operation_count":2,"complexity_ratio":17.5,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2176,"base":6},"right_expr":{"type":"numeric_atoms","value":1833,"base":6}}},"used_operators":["sJAwomhLZr","L05ObWFQCd"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2176","layer":2},{"info":"number node, value=1833","layer":2},{"info":"compute binary expreesion, left_input=2176, right_input=1833, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=686","layer":1},{"info":"compute unary expreesion, input=686, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":0}],"base":6,"result_base":6,"text":"(↹⩛14024⪍↜⋙↹⩛12253)⩠=↹⩛0","reverse_text":"↹⩛0=(↹⩛14024⪍↜⋙↹⩛12253)⩠","cot":[{"info":"↹⩛14024⪍↜⋙↹⩛12253=↹⩛3102","layer":1},{"info":"↹⩛3102⩠=↹⩛0","layer":0}]}
{"id":953,"expression_no_base_symbol":"($7976$⨸⪁$5885$)⫲≸⪮($1271$⩹$4358$)","expression":"(↹⩛100532⨸⪁↹⩛43125)⫲≸⪮(↹⩛5515⩹↹⩛32102)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27738,"operation_count":3,"complexity_ratio":9246.0,"tree":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":7976,"base":6},"right_expr":{"type":"numeric_atoms","value":5885,"base":6}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1271,"base":6},"right_expr":{"type":"numeric_atoms","value":4358,"base":6}}},"used_operators":["P3lXMJvFrc","g55IO6H4Gj","2Wsdkap16l"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"↹⩛332202","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=7976","layer":2},{"info":"number node, value=5885","layer":2},{"info":"compute binary expreesion, left_input=7976, right_input=5885, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=27722","layer":1},{"info":"number node, value=1271","layer":2},{"info":"number node, value=4358","layer":2},{"info":"compute binary expreesion, left_input=1271, right_input=4358, 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=4356","layer":1},{"info":"compute binary expreesion, left_input=27722, right_input=4356, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=27722","layer":0}],"base":6,"result_base":6,"text":"(↹⩛100532⨸⪁↹⩛43125)⫲≸⪮(↹⩛5515⩹↹⩛32102)=↹⩛332202","reverse_text":"↹⩛332202=(↹⩛100532⨸⪁↹⩛43125)⫲≸⪮(↹⩛5515⩹↹⩛32102)","cot":[{"info":"↹⩛100532⨸⪁↹⩛43125=↹⩛332202","layer":1},{"info":"↹⩛5515⩹↹⩛32102=↹⩛32100","layer":1},{"info":"↹⩛332202⫲≸⪮↹⩛32100=↹⩛332202","layer":0}]}
{"id":954,"expression_no_base_symbol":"$7582$⋹⋡⊁$3734$⫳≱↱(⋗⩴⪓$5499$)","expression":"↹⩛55034⋹⋡⊁↹⩛25142⫳≱↱(⋗⩴⪓↹⩛41243)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":68384,"operation_count":3,"complexity_ratio":22794.666666666668,"tree":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":7582,"base":6},"right_expr":{"type":"numeric_atoms","value":3734,"base":6}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":5499,"base":6}}},"used_operators":["ZvLB05nZmT","As8RqfVLgs","nOKPl9n5zu"],"dependent_operators":["2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG"],"result":"↹⩛-540","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7582","layer":2},{"info":"number node, value=3734","layer":2},{"info":"compute binary expreesion, left_input=7582, right_input=3734, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4484","layer":1},{"info":"number node, value=5499","layer":2},{"info":"compute unary expreesion, input=5499, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-4586","layer":1},{"info":"compute binary expreesion, left_input=4484, right_input=-4586, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":0}],"base":6,"result_base":6,"text":"↹⩛55034⋹⋡⊁↹⩛25142⫳≱↱(⋗⩴⪓↹⩛41243)=↹⩛-540","reverse_text":"↹⩛-540=↹⩛55034⋹⋡⊁↹⩛25142⫳≱↱(⋗⩴⪓↹⩛41243)","cot":[{"info":"↹⩛55034⋹⋡⊁↹⩛25142=↹⩛32432","layer":1},{"info":"⋗⩴⪓↹⩛41243=↹⩛-33122","layer":1},{"info":"↹⩛32432⫳≱↱↹⩛-33122=↹⩛-540","layer":0}]}
{"id":955,"expression_no_base_symbol":"($3471$⋓$8134$)≀⫉($4443$⫩)","expression":"(↹⩛24023⋓↹⩛101354)≀⫉(↹⩛32323⫩)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4601,"operation_count":3,"complexity_ratio":1533.6666666666667,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3471,"base":6},"right_expr":{"type":"numeric_atoms","value":8134,"base":6}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":4443,"base":6}}},"used_operators":["oZj3VtZNQx","T2fj7uvVaJ","6aG7x05OhS"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9"],"result":"↹⩛21022","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3471","layer":2},{"info":"number node, value=8134","layer":2},{"info":"compute binary expreesion, left_input=3471, right_input=8134, 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=4443","layer":2},{"info":"compute unary expreesion, input=4443, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":0}],"base":6,"result_base":6,"text":"(↹⩛24023⋓↹⩛101354)≀⫉(↹⩛32323⫩)=↹⩛21022","reverse_text":"↹⩛21022=(↹⩛24023⋓↹⩛101354)≀⫉(↹⩛32323⫩)","cot":[{"info":"↹⩛24023⋓↹⩛101354=↹⩛0","layer":1},{"info":"↹⩛32323⫩=NaN","layer":1},{"info":"↹⩛0≀⫉NaN=↹⩛21022","layer":0}]}
{"id":956,"expression_no_base_symbol":"($1002$⇼⇔∾$3282$)⨎⋸⪻","expression":"(↹⩛4350⇼⇔∾↹⩛23110)⨎⋸⪻","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":2,"complexity_ratio":5.5,"tree":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1002,"base":6},"right_expr":{"type":"numeric_atoms","value":3282,"base":6}}},"used_operators":["Dk5vyLCiGd","tifHPKVTfV"],"dependent_operators":["IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd"],"result":"↹⩛34324","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1002","layer":2},{"info":"number node, value=3282","layer":2},{"info":"compute binary expreesion, left_input=1002, right_input=3282, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2280","layer":1},{"info":"compute unary expreesion, input=2280, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=4876","layer":0}],"base":6,"result_base":6,"text":"(↹⩛4350⇼⇔∾↹⩛23110)⨎⋸⪻=↹⩛34324","reverse_text":"↹⩛34324=(↹⩛4350⇼⇔∾↹⩛23110)⨎⋸⪻","cot":[{"info":"↹⩛4350⇼⇔∾↹⩛23110=↹⩛14320","layer":1},{"info":"↹⩛14320⨎⋸⪻=↹⩛34324","layer":0}]}
{"id":957,"expression_no_base_symbol":"($1279$↬$2553$)⫗⊷⫓($5779$∕⩚$3333$)","expression":"(↹⩛5531↬↹⩛15453)⫗⊷⫓(↹⩛42431∕⩚↹⩛23233)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":93338,"operation_count":3,"complexity_ratio":31112.666666666668,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1279,"base":6},"right_expr":{"type":"numeric_atoms","value":2553,"base":6}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":5779,"base":6},"right_expr":{"type":"numeric_atoms","value":3333,"base":6}}},"used_operators":["zashukvMKz","B5M0gjZbta","z9ffQ9n5Zr"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rGHVDoGpnC","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"↹⩛-342","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1279","layer":2},{"info":"number node, value=2553","layer":2},{"info":"compute binary expreesion, left_input=1279, right_input=2553, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬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=5779","layer":2},{"info":"number node, value=3333","layer":2},{"info":"compute binary expreesion, left_input=5779, right_input=3333, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-5782","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-5782, 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":6,"result_base":6,"text":"(↹⩛5531↬↹⩛15453)⫗⊷⫓(↹⩛42431∕⩚↹⩛23233)=↹⩛-342","reverse_text":"↹⩛-342=(↹⩛5531↬↹⩛15453)⫗⊷⫓(↹⩛42431∕⩚↹⩛23233)","cot":[{"info":"↹⩛5531↬↹⩛15453=NaN","layer":1},{"info":"↹⩛42431∕⩚↹⩛23233=↹⩛-42434","layer":1},{"info":"NaN⫗⊷⫓↹⩛-42434=↹⩛-342","layer":0}]}
{"id":958,"expression_no_base_symbol":"($7157$⨒$4916$)⫘$2055$⨐$2487$","expression":"(↹⩛53045⨒↹⩛34432)⫘↹⩛13303⨐↹⩛15303","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":42812,"operation_count":3,"complexity_ratio":14270.666666666666,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":7157,"base":6},"right_expr":{"type":"numeric_atoms","value":4916,"base":6}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":2055,"base":6},"right_expr":{"type":"numeric_atoms","value":2487,"base":6}}},"used_operators":["48vC8HMD2b","y75s1iXyHd","Noe24qw2ks"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"↹⩛30343321555","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7157","layer":2},{"info":"number node, value=4916","layer":2},{"info":"compute binary expreesion, left_input=7157, right_input=4916, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-42570","layer":1},{"info":"number node, value=2055","layer":2},{"info":"number node, value=2487","layer":2},{"info":"compute binary expreesion, left_input=2055, right_input=2487, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-4110","layer":1},{"info":"compute binary expreesion, left_input=-42570, right_input=-4110, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=187723439","layer":0}],"base":6,"result_base":6,"text":"(↹⩛53045⨒↹⩛34432)⫘↹⩛13303⨐↹⩛15303=↹⩛30343321555","reverse_text":"↹⩛30343321555=(↹⩛53045⨒↹⩛34432)⫘↹⩛13303⨐↹⩛15303","cot":[{"info":"↹⩛53045⨒↹⩛34432=↹⩛-525030","layer":1},{"info":"↹⩛13303⨐↹⩛15303=↹⩛-31010","layer":1},{"info":"↹⩛-525030⫘↹⩛-31010=↹⩛30343321555","layer":0}]}
{"id":959,"expression_no_base_symbol":"$4983$⨜⨶$1064$≹⇙⪍($1966$∙∹∝$3771$)","expression":"↹⩛35023⨜⨶↹⩛4532≹⇙⪍(↹⩛13034∙∹∝↹⩛25243)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":33,"operation_count":3,"complexity_ratio":11.0,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":4983,"base":6},"right_expr":{"type":"numeric_atoms","value":1064,"base":6}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1966,"base":6},"right_expr":{"type":"numeric_atoms","value":3771,"base":6}}},"used_operators":["AHs5Up7iyr","HiPekx5b7W","HmxsFra2vL"],"dependent_operators":["dWAJyo7jo9","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"↹⩛-12400","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4983","layer":2},{"info":"number node, value=1064","layer":2},{"info":"compute binary expreesion, left_input=4983, right_input=1064, 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=-1872","layer":1},{"info":"number node, value=1966","layer":2},{"info":"number node, value=3771","layer":2},{"info":"compute binary expreesion, left_input=1966, right_input=3771, 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=-1872, 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=-1872","layer":0}],"base":6,"result_base":6,"text":"↹⩛35023⨜⨶↹⩛4532≹⇙⪍(↹⩛13034∙∹∝↹⩛25243)=↹⩛-12400","reverse_text":"↹⩛-12400=↹⩛35023⨜⨶↹⩛4532≹⇙⪍(↹⩛13034∙∹∝↹⩛25243)","cot":[{"info":"↹⩛35023⨜⨶↹⩛4532=↹⩛-12400","layer":1},{"info":"↹⩛13034∙∹∝↹⩛25243=↹⩛0","layer":1},{"info":"↹⩛-12400≹⇙⪍↹⩛0=↹⩛-12400","layer":0}]}
{"id":960,"expression_no_base_symbol":"($2772$⨒$5392$)⇷(⩏⊷≩$4656$)","expression":"(↹⩛20500⨒↹⩛40544)⇷(⩏⊷≩↹⩛33320)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":227683,"operation_count":3,"complexity_ratio":75894.33333333333,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":2772,"base":6},"right_expr":{"type":"numeric_atoms","value":5392,"base":6}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":4656,"base":6}}},"used_operators":["mp7IySMOzn","y75s1iXyHd","uOZ1tnYMDE"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","23Mk6UjR3U","12rbrZMWeM"],"result":"↹⩛215234","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2772","layer":2},{"info":"number node, value=5392","layer":2},{"info":"compute binary expreesion, left_input=2772, right_input=5392, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-16260","layer":1},{"info":"number node, value=4656","layer":2},{"info":"compute unary expreesion, input=4656, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=9011","layer":1},{"info":"compute binary expreesion, left_input=-16260, right_input=9011, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=18022","layer":0}],"base":6,"result_base":6,"text":"(↹⩛20500⨒↹⩛40544)⇷(⩏⊷≩↹⩛33320)=↹⩛215234","reverse_text":"↹⩛215234=(↹⩛20500⨒↹⩛40544)⇷(⩏⊷≩↹⩛33320)","cot":[{"info":"↹⩛20500⨒↹⩛40544=↹⩛-203140","layer":1},{"info":"⩏⊷≩↹⩛33320=↹⩛105415","layer":1},{"info":"↹⩛-203140⇷↹⩛105415=↹⩛215234","layer":0}]}
{"id":961,"expression_no_base_symbol":"$4820$⫁$3340$∽($2238$⫠↝⫳)","expression":"↹⩛34152⫁↹⩛23244∽(↹⩛14210⫠↝⫳)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":125,"operation_count":3,"complexity_ratio":41.666666666666664,"tree":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":4820,"base":6},"right_expr":{"type":"numeric_atoms","value":3340,"base":6}},"right_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"numeric_atoms","value":2238,"base":6}}},"used_operators":["y4ImoPnbV5","0ajvFaJAv0","8n5YIzOsVS"],"dependent_operators":["NTOWxs364D","QMFrweE19q","cHh1gJQ2o6","AHs5Up7iyr","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q"],"result":"↹⩛-4354111","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=4820","layer":2},{"info":"number node, value=3340","layer":2},{"info":"compute binary expreesion, left_input=4820, right_input=3340, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"number node, value=2238","layer":2},{"info":"compute unary expreesion, input=2238, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=72239","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=72239, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-217339","layer":0}],"base":6,"result_base":6,"text":"↹⩛34152⫁↹⩛23244∽(↹⩛14210⫠↝⫳)=↹⩛-4354111","reverse_text":"↹⩛-4354111=↹⩛34152⫁↹⩛23244∽(↹⩛14210⫠↝⫳)","cot":[{"info":"↹⩛34152⫁↹⩛23244=↹⩛424","layer":1},{"info":"↹⩛14210⫠↝⫳=↹⩛1314235","layer":1},{"info":"↹⩛424∽↹⩛1314235=↹⩛-4354111","layer":0}]}
{"id":962,"expression_no_base_symbol":"$1288$≎⪠$1792$⪪$5807$↳∿⪆$3221$","expression":"↹⩛5544≎⪠↹⩛12144⪪↹⩛42515↳∿⪆↹⩛22525","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":80342,"operation_count":3,"complexity_ratio":26780.666666666668,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1288,"base":6},"right_expr":{"type":"numeric_atoms","value":1792,"base":6}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":5807,"base":6},"right_expr":{"type":"numeric_atoms","value":3221,"base":6}}},"used_operators":["xD69zh8xqp","aNhz54LH3e","Cw4SuJJGHO"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"↹⩛-143114215","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1288","layer":2},{"info":"number node, value=1792","layer":2},{"info":"compute binary expreesion, left_input=1288, right_input=1792, 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=5807","layer":2},{"info":"number node, value=3221","layer":2},{"info":"compute binary expreesion, left_input=5807, right_input=3221, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=19558, right_input=nan, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-2949347","layer":0}],"base":6,"result_base":6,"text":"↹⩛5544≎⪠↹⩛12144⪪↹⩛42515↳∿⪆↹⩛22525=↹⩛-143114215","reverse_text":"↹⩛-143114215=↹⩛5544≎⪠↹⩛12144⪪↹⩛42515↳∿⪆↹⩛22525","cot":[{"info":"↹⩛5544≎⪠↹⩛12144=↹⩛230314","layer":1},{"info":"↹⩛42515↳∿⪆↹⩛22525=NaN","layer":1},{"info":"↹⩛230314⪪NaN=↹⩛-143114215","layer":0}]}
{"id":963,"expression_no_base_symbol":"+⊝⨔($2596$≋⫹)","expression":"+⊝⨔(↹⩛20004≋⫹)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":23,"operation_count":2,"complexity_ratio":11.5,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2596,"base":6}}},"used_operators":["DhbWaqg5eL","N41Kp7NANJ"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"↹⩛11014","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2596","layer":2},{"info":"compute unary expreesion, input=2596, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-5192","layer":1},{"info":"compute unary expreesion, input=-5192, 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":6,"result_base":6,"text":"+⊝⨔(↹⩛20004≋⫹)=↹⩛11014","reverse_text":"↹⩛11014=+⊝⨔(↹⩛20004≋⫹)","cot":[{"info":"↹⩛20004≋⫹=↹⩛-40012","layer":1},{"info":"+⊝⨔↹⩛-40012=↹⩛11014","layer":0}]}
{"id":964,"expression_no_base_symbol":"($1510$≝⊿$1191$)∺≝⩲($5023$⨭⪣$2242$)","expression":"(↹⩛10554≝⊿↹⩛5303)∺≝⩲(↹⩛35131⨭⪣↹⩛14214)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":56,"operation_count":3,"complexity_ratio":18.666666666666668,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1510,"base":6},"right_expr":{"type":"numeric_atoms","value":1191,"base":6}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":5023,"base":6},"right_expr":{"type":"numeric_atoms","value":2242,"base":6}}},"used_operators":["KPf6cnQVty","OKKcZfAt5B","kn8WO9XteQ"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1510","layer":2},{"info":"number node, value=1191","layer":2},{"info":"compute binary expreesion, left_input=1510, right_input=1191, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-4425","layer":1},{"info":"number node, value=5023","layer":2},{"info":"number node, value=2242","layer":2},{"info":"compute binary expreesion, left_input=5023, right_input=2242, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=3744","layer":1},{"info":"compute binary expreesion, left_input=-4425, right_input=3744, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10554≝⊿↹⩛5303)∺≝⩲(↹⩛35131⨭⪣↹⩛14214)=↹⩛424","reverse_text":"↹⩛424=(↹⩛10554≝⊿↹⩛5303)∺≝⩲(↹⩛35131⨭⪣↹⩛14214)","cot":[{"info":"↹⩛10554≝⊿↹⩛5303=↹⩛-32253","layer":1},{"info":"↹⩛35131⨭⪣↹⩛14214=↹⩛25200","layer":1},{"info":"↹⩛-32253∺≝⩲↹⩛25200=↹⩛424","layer":0}]}
{"id":965,"expression_no_base_symbol":"($1330$⨽⪊≇)∪⫐$8500$⫲≸⪮$6650$","expression":"(↹⩛10054⨽⪊≇)∪⫐↹⩛103204⫲≸⪮↹⩛50442","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8513,"operation_count":3,"complexity_ratio":2837.6666666666665,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"numeric_atoms","value":1330,"base":6}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":8500,"base":6},"right_expr":{"type":"numeric_atoms","value":6650,"base":6}}},"used_operators":["7YooWSwCyH","nlCqmYiOvY","P3lXMJvFrc"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"↹⩛13514","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1330","layer":2},{"info":"compute unary expreesion, input=1330, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=2134","layer":1},{"info":"number node, value=8500","layer":2},{"info":"number node, value=6650","layer":2},{"info":"compute binary expreesion, left_input=8500, right_input=6650, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=8500","layer":1},{"info":"compute binary expreesion, left_input=2134, right_input=8500, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2134","layer":0}],"base":6,"result_base":6,"text":"(↹⩛10054⨽⪊≇)∪⫐↹⩛103204⫲≸⪮↹⩛50442=↹⩛13514","reverse_text":"↹⩛13514=(↹⩛10054⨽⪊≇)∪⫐↹⩛103204⫲≸⪮↹⩛50442","cot":[{"info":"↹⩛10054⨽⪊≇=↹⩛13514","layer":1},{"info":"↹⩛103204⫲≸⪮↹⩛50442=↹⩛103204","layer":1},{"info":"↹⩛13514∪⫐↹⩛103204=↹⩛13514","layer":0}]}
{"id":966,"expression_no_base_symbol":"($1145$⫦⪉$4667$)⫗⊷⫓($1695$⇌⫙⪟$6427$)","expression":"(↹⩛5145⫦⪉↹⩛33335)⫗⊷⫓(↹⩛11503⇌⫙⪟↹⩛45431)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":86999,"operation_count":3,"complexity_ratio":28999.666666666668,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1145,"base":6},"right_expr":{"type":"numeric_atoms","value":4667,"base":6}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1695,"base":6},"right_expr":{"type":"numeric_atoms","value":6427,"base":6}}},"used_operators":["zashukvMKz","wscyQdcy20","AFVx7xoS7T"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"↹⩛-342","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1145","layer":2},{"info":"number node, value=4667","layer":2},{"info":"compute binary expreesion, left_input=1145, right_input=4667, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2610","layer":1},{"info":"number node, value=1695","layer":2},{"info":"number node, value=6427","layer":2},{"info":"compute binary expreesion, left_input=1695, right_input=6427, 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=2610, right_input=113, 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":6,"result_base":6,"text":"(↹⩛5145⫦⪉↹⩛33335)⫗⊷⫓(↹⩛11503⇌⫙⪟↹⩛45431)=↹⩛-342","reverse_text":"↹⩛-342=(↹⩛5145⫦⪉↹⩛33335)⫗⊷⫓(↹⩛11503⇌⫙⪟↹⩛45431)","cot":[{"info":"↹⩛5145⫦⪉↹⩛33335=↹⩛20030","layer":1},{"info":"↹⩛11503⇌⫙⪟↹⩛45431=↹⩛305","layer":1},{"info":"↹⩛20030⫗⊷⫓↹⩛305=↹⩛-342","layer":0}]}
{"id":967,"expression_no_base_symbol":"($7102$≑≱⪘)⨒$4529$⨐$2189$","expression":"(↹⩛52514≑≱⪘)⨒↹⩛32545⨐↹⩛14045","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":127,"operation_count":3,"complexity_ratio":42.333333333333336,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":7102,"base":6}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":4529,"base":6},"right_expr":{"type":"numeric_atoms","value":2189,"base":6}}},"used_operators":["y75s1iXyHd","tGSeddj7UK","Noe24qw2ks"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=7102","layer":2},{"info":"compute unary expreesion, input=7102, 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=181017","layer":1},{"info":"number node, value=4529","layer":2},{"info":"number node, value=2189","layer":2},{"info":"compute binary expreesion, left_input=4529, right_input=2189, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-9058","layer":1},{"info":"compute binary expreesion, left_input=181017, right_input=-9058, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":0}],"base":6,"result_base":6,"text":"(↹⩛52514≑≱⪘)⨒↹⩛32545⨐↹⩛14045=↹⩛0","reverse_text":"↹⩛0=(↹⩛52514≑≱⪘)⨒↹⩛32545⨐↹⩛14045","cot":[{"info":"↹⩛52514≑≱⪘=↹⩛3514013","layer":1},{"info":"↹⩛32545⨐↹⩛14045=↹⩛-105534","layer":1},{"info":"↹⩛3514013⨒↹⩛-105534=↹⩛0","layer":0}]}
{"id":968,"expression_no_base_symbol":"($3832$⊋$1294$)⊬⨰(⊙↵-$2206$)","expression":"(↹⩛25424⊋↹⩛5554)⊬⨰(⊙↵-↹⩛14114)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7144,"operation_count":3,"complexity_ratio":2381.3333333333335,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":3832,"base":6},"right_expr":{"type":"numeric_atoms","value":1294,"base":6}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2206,"base":6}}},"used_operators":["s3Fd5m9Dh2","W4tP9CfskL","oWn0xqSxBt"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"↹⩛2252104532","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3832","layer":2},{"info":"number node, value=1294","layer":2},{"info":"compute binary expreesion, left_input=3832, right_input=1294, 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=25017516","layer":1},{"info":"number node, value=2206","layer":2},{"info":"compute unary expreesion, input=2206, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=25017516, right_input=-1, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=25016456","layer":0}],"base":6,"result_base":6,"text":"(↹⩛25424⊋↹⩛5554)⊬⨰(⊙↵-↹⩛14114)=↹⩛2252104532","reverse_text":"↹⩛2252104532=(↹⩛25424⊋↹⩛5554)⊬⨰(⊙↵-↹⩛14114)","cot":[{"info":"↹⩛25424⊋↹⩛5554=↹⩛2252113500","layer":1},{"info":"⊙↵-↹⩛14114=↹⩛-1","layer":1},{"info":"↹⩛2252113500⊬⨰↹⩛-1=↹⩛2252104532","layer":0}]}
{"id":969,"expression_no_base_symbol":"⇵⪽($1098$∛$5032$)","expression":"⇵⪽(↹⩛5030∛↹⩛35144)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":448996,"operation_count":2,"complexity_ratio":224498.0,"tree":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1098,"base":6},"right_expr":{"type":"numeric_atoms","value":5032,"base":6}}},"used_operators":["ZGCBLdVRRX","w2537kitQq"],"dependent_operators":["U7g4x0WXJJ","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1098","layer":2},{"info":"number node, value=5032","layer":2},{"info":"compute binary expreesion, left_input=1098, right_input=5032, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":1},{"info":"compute unary expreesion, input=-670, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⇵⪽(↹⩛5030∛↹⩛35144)=NaN","reverse_text":"NaN=⇵⪽(↹⩛5030∛↹⩛35144)","cot":[{"info":"↹⩛5030∛↹⩛35144=↹⩛-3034","layer":1},{"info":"⇵⪽↹⩛-3034=NaN","layer":0}]}
{"id":970,"expression_no_base_symbol":"⋼∭⪍($4807$⫑%∭)","expression":"⋼∭⪍(↹⩛34131⫑%∭)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":979,"operation_count":2,"complexity_ratio":489.5,"tree":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":4807,"base":6}}},"used_operators":["DbCuESL50I","xUx7qlDO4z"],"dependent_operators":["e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=4807","layer":2},{"info":"compute unary expreesion, input=4807, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"⋼∭⪍(↹⩛34131⫑%∭)=NaN","reverse_text":"NaN=⋼∭⪍(↹⩛34131⫑%∭)","cot":[{"info":"↹⩛34131⫑%∭=NaN","layer":1},{"info":"⋼∭⪍NaN=NaN","layer":0}]}
{"id":971,"expression_no_base_symbol":"($8664$≃$1334$)⇷$6537$⪥$1251$","expression":"(↹⩛104040≃↹⩛10102)⇷↹⩛50133⪥↹⩛5443","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":485792,"operation_count":3,"complexity_ratio":161930.66666666666,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":8664,"base":6},"right_expr":{"type":"numeric_atoms","value":1334,"base":6}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":6537,"base":6},"right_expr":{"type":"numeric_atoms","value":1251,"base":6}}},"used_operators":["mp7IySMOzn","YbVcJGFEVW","QbnwKVWMIQ"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"↹⩛1153104","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8664","layer":2},{"info":"number node, value=1334","layer":2},{"info":"compute binary expreesion, left_input=8664, right_input=1334, 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=-34696","layer":1},{"info":"number node, value=6537","layer":2},{"info":"number node, value=1251","layer":2},{"info":"compute binary expreesion, left_input=6537, right_input=1251, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=30800","layer":1},{"info":"compute binary expreesion, left_input=-34696, right_input=30800, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=61600","layer":0}],"base":6,"result_base":6,"text":"(↹⩛104040≃↹⩛10102)⇷↹⩛50133⪥↹⩛5443=↹⩛1153104","reverse_text":"↹⩛1153104=(↹⩛104040≃↹⩛10102)⇷↹⩛50133⪥↹⩛5443","cot":[{"info":"↹⩛104040≃↹⩛10102=↹⩛-424344","layer":1},{"info":"↹⩛50133⪥↹⩛5443=↹⩛354332","layer":1},{"info":"↹⩛-424344⇷↹⩛354332=↹⩛1153104","layer":0}]}
{"id":972,"expression_no_base_symbol":"($3932$+⇶⊼$3749$)∀⇚≩$5591$⇡⇂$2151$","expression":"(↹⩛30112+⇶⊼↹⩛25205)∀⇚≩↹⩛41515⇡⇂↹⩛13543","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10439,"operation_count":3,"complexity_ratio":3479.6666666666665,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3932,"base":6},"right_expr":{"type":"numeric_atoms","value":3749,"base":6}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":5591,"base":6},"right_expr":{"type":"numeric_atoms","value":2151,"base":6}}},"used_operators":["LRNGc0VcxI","TpPTUOHfaN","UMwdvZNt44"],"dependent_operators":["X99M06cbEe","AHs5Up7iyr","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3932","layer":2},{"info":"number node, value=3749","layer":2},{"info":"compute binary expreesion, left_input=3932, right_input=3749, 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=5591","layer":2},{"info":"number node, value=2151","layer":2},{"info":"compute binary expreesion, left_input=5591, right_input=2151, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":6,"result_base":6,"text":"(↹⩛30112+⇶⊼↹⩛25205)∀⇚≩↹⩛41515⇡⇂↹⩛13543=NaN","reverse_text":"NaN=(↹⩛30112+⇶⊼↹⩛25205)∀⇚≩↹⩛41515⇡⇂↹⩛13543","cot":[{"info":"↹⩛30112+⇶⊼↹⩛25205=NaN","layer":1},{"info":"↹⩛41515⇡⇂↹⩛13543=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":973,"expression_no_base_symbol":"($3744$∲⫓$2039$)↡⊰⫅$7650$+⪬∐$2825$","expression":"(↹⩛25200∲⫓↹⩛13235)↡⊰⫅↹⩛55230+⪬∐↹⩛21025","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":321322,"operation_count":3,"complexity_ratio":107107.33333333333,"tree":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3744,"base":6},"right_expr":{"type":"numeric_atoms","value":2039,"base":6}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":7650,"base":6},"right_expr":{"type":"numeric_atoms","value":2825,"base":6}}},"used_operators":["VCtxkLNOzz","i8ToyICDmI","2GS7woTJqF"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","D4vGDi5EA2"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3744","layer":2},{"info":"number node, value=2039","layer":2},{"info":"compute binary expreesion, left_input=3744, right_input=2039, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=7650","layer":2},{"info":"number node, value=2825","layer":2},{"info":"compute binary expreesion, left_input=7650, right_input=2825, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-22950","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-22950, 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":6,"result_base":6,"text":"(↹⩛25200∲⫓↹⩛13235)↡⊰⫅↹⩛55230+⪬∐↹⩛21025=NaN","reverse_text":"NaN=(↹⩛25200∲⫓↹⩛13235)↡⊰⫅↹⩛55230+⪬∐↹⩛21025","cot":[{"info":"↹⩛25200∲⫓↹⩛13235=↹⩛0","layer":1},{"info":"↹⩛55230+⪬∐↹⩛21025=↹⩛-254130","layer":1},{"info":"↹⩛0↡⊰⫅↹⩛-254130=NaN","layer":0}]}
{"id":974,"expression_no_base_symbol":"⋗⩴⪓(≑⋹$5773$)","expression":"⋗⩴⪓(≑⋹↹⩛42421)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1799,"operation_count":2,"complexity_ratio":899.5,"tree":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":5773,"base":6}}},"used_operators":["nOKPl9n5zu","6B9nyZLogK"],"dependent_operators":["Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C"],"result":"↹⩛-3225","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5773","layer":2},{"info":"compute unary expreesion, input=5773, 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 = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-737","layer":0}],"base":6,"result_base":6,"text":"⋗⩴⪓(≑⋹↹⩛42421)=↹⩛-3225","reverse_text":"↹⩛-3225=⋗⩴⪓(≑⋹↹⩛42421)","cot":[{"info":"≑⋹↹⩛42421=↹⩛11350","layer":1},{"info":"⋗⩴⪓↹⩛11350=↹⩛-3225","layer":0}]}
{"id":975,"expression_no_base_symbol":"($1991$⇚⪠)⋻⩜⩜$2270$⩖⊿$7822$","expression":"(↹⩛13115⇚⪠)⋻⩜⩜↹⩛14302⩖⊿↹⩛100114","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":749839,"operation_count":3,"complexity_ratio":249946.33333333334,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":1991,"base":6}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2270,"base":6},"right_expr":{"type":"numeric_atoms","value":7822,"base":6}}},"used_operators":["oDCm7WA9JY","Loh9y4A90B","RZ5CV9rWsJ"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"↹⩛1323504524","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1991","layer":2},{"info":"compute unary expreesion, input=1991, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=7928162","layer":1},{"info":"number node, value=2270","layer":2},{"info":"number node, value=7822","layer":2},{"info":"compute binary expreesion, left_input=2270, right_input=7822, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=53414","layer":1},{"info":"compute binary expreesion, left_input=7928162, right_input=53414, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=15856324","layer":0}],"base":6,"result_base":6,"text":"(↹⩛13115⇚⪠)⋻⩜⩜↹⩛14302⩖⊿↹⩛100114=↹⩛1323504524","reverse_text":"↹⩛1323504524=(↹⩛13115⇚⪠)⋻⩜⩜↹⩛14302⩖⊿↹⩛100114","cot":[{"info":"↹⩛13115⇚⪠=↹⩛441532242","layer":1},{"info":"↹⩛14302⩖⊿↹⩛100114=↹⩛1051142","layer":1},{"info":"↹⩛441532242⋻⩜⩜↹⩛1051142=↹⩛1323504524","layer":0}]}
{"id":976,"expression_no_base_symbol":"($5027$⊾⪯⋞$1246$)⊦⊿","expression":"(↹⩛35135⊾⪯⋞↹⩛5434)⊦⊿","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":63,"operation_count":2,"complexity_ratio":31.5,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":5027,"base":6},"right_expr":{"type":"numeric_atoms","value":1246,"base":6}}},"used_operators":["14qkJME0vr","HK0tfVPux8"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"↹⩛-45021","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=5027","layer":2},{"info":"number node, value=1246","layer":2},{"info":"compute binary expreesion, left_input=5027, right_input=1246, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=2066","layer":1},{"info":"compute unary expreesion, input=2066, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-6277","layer":0}],"base":6,"result_base":6,"text":"(↹⩛35135⊾⪯⋞↹⩛5434)⊦⊿=↹⩛-45021","reverse_text":"↹⩛-45021=(↹⩛35135⊾⪯⋞↹⩛5434)⊦⊿","cot":[{"info":"↹⩛35135⊾⪯⋞↹⩛5434=↹⩛13322","layer":1},{"info":"↹⩛13322⊦⊿=↹⩛-45021","layer":0}]}
{"id":977,"expression_no_base_symbol":"($3116$⇄$1543$)≚⊃≕$2388$⨿$4158$","expression":"(↹⩛22232⇄↹⩛11051)≚⊃≕↹⩛15020⨿↹⩛31130","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":251,"operation_count":3,"complexity_ratio":83.66666666666667,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":3116,"base":6},"right_expr":{"type":"numeric_atoms","value":1543,"base":6}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2388,"base":6},"right_expr":{"type":"numeric_atoms","value":4158,"base":6}}},"used_operators":["Bmrmz2XGnR","3EYGwJThht","abYXlopdE0"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"↹⩛-3420","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3116","layer":2},{"info":"number node, value=1543","layer":2},{"info":"compute binary expreesion, left_input=3116, right_input=1543, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"number node, value=2388","layer":2},{"info":"number node, value=4158","layer":2},{"info":"compute binary expreesion, left_input=2388, right_input=4158, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-319, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-804","layer":0}],"base":6,"result_base":6,"text":"(↹⩛22232⇄↹⩛11051)≚⊃≕↹⩛15020⨿↹⩛31130=↹⩛-3420","reverse_text":"↹⩛-3420=(↹⩛22232⇄↹⩛11051)≚⊃≕↹⩛15020⨿↹⩛31130","cot":[{"info":"↹⩛22232⇄↹⩛11051=↹⩛0","layer":1},{"info":"↹⩛15020⨿↹⩛31130=↹⩛-1251","layer":1},{"info":"↹⩛0≚⊃≕↹⩛-1251=↹⩛-3420","layer":0}]}
{"id":978,"expression_no_base_symbol":"(⇘$3692$)⊴($2288$⨽$1628$)","expression":"(⇘↹⩛25032)⊴(↹⩛14332⨽↹⩛11312)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9734,"operation_count":3,"complexity_ratio":3244.6666666666665,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":3692,"base":6}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2288,"base":6},"right_expr":{"type":"numeric_atoms","value":1628,"base":6}}},"used_operators":["Nsiff2A1zJ","MGuIdZPyUC","8HhzD0ZcuI"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=3692","layer":2},{"info":"compute unary expreesion, input=3692, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=215902","layer":1},{"info":"number node, value=2288","layer":2},{"info":"number node, value=1628","layer":2},{"info":"compute binary expreesion, left_input=2288, right_input=1628, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-15708402","layer":1},{"info":"compute binary expreesion, left_input=215902, right_input=-15708402, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⇘↹⩛25032)⊴(↹⩛14332⨽↹⩛11312)=NaN","reverse_text":"NaN=(⇘↹⩛25032)⊴(↹⩛14332⨽↹⩛11312)","cot":[{"info":"⇘↹⩛25032=↹⩛4343314","layer":1},{"info":"↹⩛14332⨽↹⩛11312=↹⩛-1320404030","layer":1},{"info":"↹⩛4343314⊴↹⩛-1320404030=NaN","layer":0}]}
{"id":979,"expression_no_base_symbol":"$2752$⪒⊣⊆$3246$⨲","expression":"↹⩛20424⪒⊣⊆↹⩛23010⨲","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":834432,"operation_count":2,"complexity_ratio":417216.0,"tree":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2752,"base":6},"right_expr":{"type":"numeric_atoms","value":3246,"base":6}}},"used_operators":["nLYMGWM7L8","eRqsBgTDFp"],"dependent_operators":["DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","sdazOOVcIp","W4YGzv6Whe"],"result":"↹⩛241100504541","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2752","layer":2},{"info":"number node, value=3246","layer":2},{"info":"compute binary expreesion, left_input=2752, right_input=3246, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=5504","layer":1},{"info":"compute unary expreesion, input=5504, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=979256077","layer":0}],"base":6,"result_base":6,"text":"↹⩛20424⪒⊣⊆↹⩛23010⨲=↹⩛241100504541","reverse_text":"↹⩛241100504541=↹⩛20424⪒⊣⊆↹⩛23010⨲","cot":[{"info":"↹⩛20424⪒⊣⊆↹⩛23010=↹⩛41252","layer":1},{"info":"↹⩛41252⨲=↹⩛241100504541","layer":0}]}
{"id":980,"expression_no_base_symbol":"$2315$⪢$3617$⪭(⪫⨮⊛$5238$)","expression":"↹⩛14415⪢↹⩛24425⪭(⪫⨮⊛↹⩛40130)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3173763,"operation_count":3,"complexity_ratio":1057921.0,"tree":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2315,"base":6},"right_expr":{"type":"numeric_atoms","value":3617,"base":6}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":5238,"base":6}}},"used_operators":["j9kHMeSvPp","dWAJyo7jo9","w5FWba1tyO"],"dependent_operators":["COABgblf1C","xUOZtlo3hN","k8jYdgA6NY","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2315","layer":2},{"info":"number node, value=3617","layer":2},{"info":"compute binary expreesion, left_input=2315, right_input=3617, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=5238","layer":2},{"info":"compute unary expreesion, input=5238, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛14415⪢↹⩛24425⪭(⪫⨮⊛↹⩛40130)=NaN","reverse_text":"NaN=↹⩛14415⪢↹⩛24425⪭(⪫⨮⊛↹⩛40130)","cot":[{"info":"↹⩛14415⪢↹⩛24425=NaN","layer":1},{"info":"⪫⨮⊛↹⩛40130=NaN","layer":1},{"info":"NaN⪭NaN=NaN","layer":0}]}
{"id":981,"expression_no_base_symbol":"⫇($6145$⨒$3832$)","expression":"⫇(↹⩛44241⨒↹⩛25424)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":26,"operation_count":2,"complexity_ratio":13.0,"tree":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":6145,"base":6},"right_expr":{"type":"numeric_atoms","value":3832,"base":6}}},"used_operators":["YjI8oCXuph","y75s1iXyHd"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"↹⩛-432332","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6145","layer":2},{"info":"number node, value=3832","layer":2},{"info":"compute binary expreesion, left_input=6145, right_input=3832, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-36498","layer":1},{"info":"compute unary expreesion, input=-36498, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-35552","layer":0}],"base":6,"result_base":6,"text":"⫇(↹⩛44241⨒↹⩛25424)=↹⩛-432332","reverse_text":"↹⩛-432332=⫇(↹⩛44241⨒↹⩛25424)","cot":[{"info":"↹⩛44241⨒↹⩛25424=↹⩛-440550","layer":1},{"info":"⫇↹⩛-440550=↹⩛-432332","layer":0}]}
{"id":982,"expression_no_base_symbol":"∤↝($3835$%$2594$)","expression":"∤↝(↹⩛25431%↹⩛20002)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3835,"base":6},"right_expr":{"type":"numeric_atoms","value":2594,"base":6}}},"used_operators":["3UMq87Qwqg","k8jYdgA6NY"],"dependent_operators":["s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","rysDP5nf3Z"],"result":"↹⩛5425","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=3835","layer":2},{"info":"number node, value=2594","layer":2},{"info":"compute binary expreesion, left_input=3835, right_input=2594, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1241","layer":1},{"info":"compute unary expreesion, input=1241, 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=1241","layer":0}],"base":6,"result_base":6,"text":"∤↝(↹⩛25431%↹⩛20002)=↹⩛5425","reverse_text":"↹⩛5425=∤↝(↹⩛25431%↹⩛20002)","cot":[{"info":"↹⩛25431%↹⩛20002=↹⩛5425","layer":1},{"info":"∤↝↹⩛5425=↹⩛5425","layer":0}]}
{"id":983,"expression_no_base_symbol":"$2024$⩦$1512$⇌⫙⪟$4907$⋥⋵⩄$1921$","expression":"↹⩛13212⩦↹⩛11000⇌⫙⪟↹⩛34415⋥⋵⩄↹⩛12521","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":53,"operation_count":3,"complexity_ratio":17.666666666666668,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":2024,"base":6},"right_expr":{"type":"numeric_atoms","value":1512,"base":6}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":4907,"base":6},"right_expr":{"type":"numeric_atoms","value":1921,"base":6}}},"used_operators":["AFVx7xoS7T","0kmYd0q39Y","7t3wd0Fuz7"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"↹⩛305","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=2024","layer":2},{"info":"number node, value=1512","layer":2},{"info":"compute binary expreesion, left_input=2024, right_input=1512, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=4048","layer":1},{"info":"number node, value=4907","layer":2},{"info":"number node, value=1921","layer":2},{"info":"compute binary expreesion, left_input=4907, right_input=1921, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=4048, right_input=113, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":0}],"base":6,"result_base":6,"text":"↹⩛13212⩦↹⩛11000⇌⫙⪟↹⩛34415⋥⋵⩄↹⩛12521=↹⩛305","reverse_text":"↹⩛305=↹⩛13212⩦↹⩛11000⇌⫙⪟↹⩛34415⋥⋵⩄↹⩛12521","cot":[{"info":"↹⩛13212⩦↹⩛11000=↹⩛30424","layer":1},{"info":"↹⩛34415⋥⋵⩄↹⩛12521=↹⩛305","layer":1},{"info":"↹⩛30424⇌⫙⪟↹⩛305=↹⩛305","layer":0}]}
{"id":984,"expression_no_base_symbol":"$1423$⫗⊷⫓$1006$∧","expression":"↹⩛10331⫗⊷⫓↹⩛4354∧","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":780981,"operation_count":2,"complexity_ratio":390490.5,"tree":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1423,"base":6},"right_expr":{"type":"numeric_atoms","value":1006,"base":6}}},"used_operators":["z63VuFQld9","zashukvMKz"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1423","layer":2},{"info":"number node, value=1006","layer":2},{"info":"compute binary expreesion, left_input=1423, right_input=1006, 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 = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":0}],"base":6,"result_base":6,"text":"↹⩛10331⫗⊷⫓↹⩛4354∧=↹⩛0","reverse_text":"↹⩛0=↹⩛10331⫗⊷⫓↹⩛4354∧","cot":[{"info":"↹⩛10331⫗⊷⫓↹⩛4354=↹⩛-342","layer":1},{"info":"↹⩛-342∧=↹⩛0","layer":0}]}
{"id":985,"expression_no_base_symbol":"(⊖∈$1011$)⨟⋌⩍($1404$⩧⪆$1027$)","expression":"(⊖∈↹⩛4403)⨟⋌⩍(↹⩛10300⩧⪆↹⩛4431)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":58,"operation_count":3,"complexity_ratio":19.333333333333332,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":1011,"base":6}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1404,"base":6},"right_expr":{"type":"numeric_atoms","value":1027,"base":6}}},"used_operators":["rGHVDoGpnC","YFxL8Sc2Zy","Ikt5ks8PT7"],"dependent_operators":["Tcnh7f0tEr","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","eewbuw0ToL","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1011","layer":2},{"info":"compute unary expreesion, input=1011, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=14626","layer":1},{"info":"number node, value=1404","layer":2},{"info":"number node, value=1027","layer":2},{"info":"compute binary expreesion, left_input=1404, right_input=1027, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1027","layer":1},{"info":"compute binary expreesion, left_input=14626, right_input=-1027, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":6,"result_base":6,"text":"(⊖∈↹⩛4403)⨟⋌⩍(↹⩛10300⩧⪆↹⩛4431)=NaN","reverse_text":"NaN=(⊖∈↹⩛4403)⨟⋌⩍(↹⩛10300⩧⪆↹⩛4431)","cot":[{"info":"⊖∈↹⩛4403=↹⩛151414","layer":1},{"info":"↹⩛10300⩧⪆↹⩛4431=↹⩛-4431","layer":1},{"info":"↹⩛151414⨟⋌⩍↹⩛-4431=NaN","layer":0}]}
{"id":986,"expression_no_base_symbol":"$6364$⪘⫢$1326$⊉≛↸$6677$⨻⩈⩔$2108$","expression":"↹⩛45244⪘⫢↹⩛10050⊉≛↸↹⩛50525⨻⩈⩔↹⩛13432","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":128,"operation_count":3,"complexity_ratio":42.666666666666664,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6364,"base":6},"right_expr":{"type":"numeric_atoms","value":1326,"base":6}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":6677,"base":6},"right_expr":{"type":"numeric_atoms","value":2108,"base":6}}},"used_operators":["DZ8iAZOCBD","oacrs7FA3X","nEsXyWgiOK"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"↹⩛312412","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=6364","layer":2},{"info":"number node, value=1326","layer":2},{"info":"compute binary expreesion, left_input=6364, right_input=1326, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=12604","layer":1},{"info":"number node, value=6677","layer":2},{"info":"number node, value=2108","layer":2},{"info":"compute binary expreesion, left_input=6677, right_input=2108, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=45015","layer":1},{"info":"compute binary expreesion, left_input=12604, right_input=45015, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=25208","layer":0}],"base":6,"result_base":6,"text":"↹⩛45244⪘⫢↹⩛10050⊉≛↸↹⩛50525⨻⩈⩔↹⩛13432=↹⩛312412","reverse_text":"↹⩛312412=↹⩛45244⪘⫢↹⩛10050⊉≛↸↹⩛50525⨻⩈⩔↹⩛13432","cot":[{"info":"↹⩛45244⪘⫢↹⩛10050=↹⩛134204","layer":1},{"info":"↹⩛50525⨻⩈⩔↹⩛13432=↹⩛544223","layer":1},{"info":"↹⩛134204⊉≛↸↹⩛544223=↹⩛312412","layer":0}]}
{"id":987,"expression_no_base_symbol":"$5240$⫗⊷⫓$1000$⫯⪬∳$1833$⨸$1099$","expression":"↹⩛40132⫗⊷⫓↹⩛4344⫯⪬∳↹⩛12253⨸↹⩛5031","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":778266,"operation_count":3,"complexity_ratio":259422.0,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":5240,"base":6},"right_expr":{"type":"numeric_atoms","value":1000,"base":6}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1833,"base":6},"right_expr":{"type":"numeric_atoms","value":1099,"base":6}}},"used_operators":["d7ASUq0ydm","zashukvMKz","KmoU8R5UQR"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"↹⩛-155","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5240","layer":2},{"info":"number node, value=1000","layer":2},{"info":"compute binary expreesion, left_input=5240, right_input=1000, 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=1833","layer":2},{"info":"number node, value=1099","layer":2},{"info":"compute binary expreesion, left_input=1833, right_input=1099, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=3666","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=3666, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-71","layer":0}],"base":6,"result_base":6,"text":"↹⩛40132⫗⊷⫓↹⩛4344⫯⪬∳↹⩛12253⨸↹⩛5031=↹⩛-155","reverse_text":"↹⩛-155=↹⩛40132⫗⊷⫓↹⩛4344⫯⪬∳↹⩛12253⨸↹⩛5031","cot":[{"info":"↹⩛40132⫗⊷⫓↹⩛4344=↹⩛-342","layer":1},{"info":"↹⩛12253⨸↹⩛5031=↹⩛24550","layer":1},{"info":"↹⩛-342⫯⪬∳↹⩛24550=↹⩛-155","layer":0}]}
{"id":988,"expression_no_base_symbol":"$1295$⨥⫆$1450$⫰⋱$4829$+⇶⊼$2522$","expression":"↹⩛5555⨥⫆↹⩛10414⫰⋱↹⩛34205+⇶⊼↹⩛15402","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22,"operation_count":3,"complexity_ratio":7.333333333333333,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1295,"base":6},"right_expr":{"type":"numeric_atoms","value":1450,"base":6}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4829,"base":6},"right_expr":{"type":"numeric_atoms","value":2522,"base":6}}},"used_operators":["6o9Blt3TJ6","yXekIHxTD4","TpPTUOHfaN"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1295","layer":2},{"info":"number node, value=1450","layer":2},{"info":"compute binary expreesion, left_input=1295, right_input=1450, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2776","layer":1},{"info":"number node, value=4829","layer":2},{"info":"number node, value=2522","layer":2},{"info":"compute binary expreesion, left_input=4829, right_input=2522, 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=2776, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛5555⨥⫆↹⩛10414⫰⋱↹⩛34205+⇶⊼↹⩛15402=NaN","reverse_text":"NaN=↹⩛5555⨥⫆↹⩛10414⫰⋱↹⩛34205+⇶⊼↹⩛15402","cot":[{"info":"↹⩛5555⨥⫆↹⩛10414=↹⩛20504","layer":1},{"info":"↹⩛34205+⇶⊼↹⩛15402=NaN","layer":1},{"info":"↹⩛20504⫰⋱NaN=NaN","layer":0}]}
{"id":989,"expression_no_base_symbol":"($1258$⊪)∪⫐$3844$⫗⊷⫓$1176$","expression":"(↹⩛5454⊪)∪⫐↹⩛25444⫗⊷⫓↹⩛5240","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":913100,"operation_count":3,"complexity_ratio":304366.6666666667,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1258,"base":6}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":3844,"base":6},"right_expr":{"type":"numeric_atoms","value":1176,"base":6}}},"used_operators":["7YooWSwCyH","zVYPLywUTj","zashukvMKz"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"↹⩛0","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1258","layer":2},{"info":"compute unary expreesion, input=1258, 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=3844","layer":2},{"info":"number node, value=1176","layer":2},{"info":"compute binary expreesion, left_input=3844, 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 binary expreesion, left_input=0, right_input=-134, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=0","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5454⊪)∪⫐↹⩛25444⫗⊷⫓↹⩛5240=↹⩛0","reverse_text":"↹⩛0=(↹⩛5454⊪)∪⫐↹⩛25444⫗⊷⫓↹⩛5240","cot":[{"info":"↹⩛5454⊪=↹⩛0","layer":1},{"info":"↹⩛25444⫗⊷⫓↹⩛5240=↹⩛-342","layer":1},{"info":"↹⩛0∪⫐↹⩛-342=↹⩛0","layer":0}]}
{"id":990,"expression_no_base_symbol":"($2753$∲⫓$1071$)∓⋝(⨂⪏⇭$3606$)","expression":"(↹⩛20425∲⫓↹⩛4543)∓⋝(⨂⪏⇭↹⩛24410)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":39,"operation_count":3,"complexity_ratio":13.0,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2753,"base":6},"right_expr":{"type":"numeric_atoms","value":1071,"base":6}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":3606,"base":6}}},"used_operators":["PoHhknlbAi","i8ToyICDmI","AYdpE9sXAk"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","NTOWxs364D","EBcxylXtPf"],"result":"↹⩛321","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2753","layer":2},{"info":"number node, value=1071","layer":2},{"info":"compute binary expreesion, left_input=2753, right_input=1071, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=3606","layer":2},{"info":"compute unary expreesion, input=3606, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=9839","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=9839, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=121","layer":0}],"base":6,"result_base":6,"text":"(↹⩛20425∲⫓↹⩛4543)∓⋝(⨂⪏⇭↹⩛24410)=↹⩛321","reverse_text":"↹⩛321=(↹⩛20425∲⫓↹⩛4543)∓⋝(⨂⪏⇭↹⩛24410)","cot":[{"info":"↹⩛20425∲⫓↹⩛4543=↹⩛0","layer":1},{"info":"⨂⪏⇭↹⩛24410=↹⩛113315","layer":1},{"info":"↹⩛0∓⋝↹⩛113315=↹⩛321","layer":0}]}
{"id":991,"expression_no_base_symbol":"($8065$⩨$3978$)⫣⪄⊒($1431$⊪)","expression":"(↹⩛101201⩨↹⩛30230)⫣⪄⊒(↹⩛10343⊪)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":86,"operation_count":3,"complexity_ratio":28.666666666666668,"tree":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":8065,"base":6},"right_expr":{"type":"numeric_atoms","value":3978,"base":6}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1431,"base":6}}},"used_operators":["RabNbG55vr","2DlMacCsIx","zVYPLywUTj"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"↹⩛424","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=8065","layer":2},{"info":"number node, value=3978","layer":2},{"info":"compute binary expreesion, left_input=8065, right_input=3978, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=1431","layer":2},{"info":"compute unary expreesion, input=1431, 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 = 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":6,"result_base":6,"text":"(↹⩛101201⩨↹⩛30230)⫣⪄⊒(↹⩛10343⊪)=↹⩛424","reverse_text":"↹⩛424=(↹⩛101201⩨↹⩛30230)⫣⪄⊒(↹⩛10343⊪)","cot":[{"info":"↹⩛101201⩨↹⩛30230=↹⩛0","layer":1},{"info":"↹⩛10343⊪=↹⩛0","layer":1},{"info":"↹⩛0⫣⪄⊒↹⩛0=↹⩛424","layer":0}]}
{"id":992,"expression_no_base_symbol":"$2234$⪝$1184$⩍⋽⫝̸$2059$↹⊜$6051$","expression":"↹⩛14202⪝↹⩛5252⩍⋽⫝̸↹⩛13311↹⊜↹⩛44003","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":449,"operation_count":3,"complexity_ratio":149.66666666666666,"tree":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2234,"base":6},"right_expr":{"type":"numeric_atoms","value":1184,"base":6}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2059,"base":6},"right_expr":{"type":"numeric_atoms","value":6051,"base":6}}},"used_operators":["BiWNJpBvwn","wicAB68Tmb","9bazX3JMtO"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"↹⩛153542","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2234","layer":2},{"info":"number node, value=1184","layer":2},{"info":"compute binary expreesion, left_input=2234, right_input=1184, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-4599","layer":1},{"info":"number node, value=2059","layer":2},{"info":"number node, value=6051","layer":2},{"info":"compute binary expreesion, left_input=2059, right_input=6051, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-20182","layer":1},{"info":"compute binary expreesion, left_input=-4599, right_input=-20182, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=15110","layer":0}],"base":6,"result_base":6,"text":"↹⩛14202⪝↹⩛5252⩍⋽⫝̸↹⩛13311↹⊜↹⩛44003=↹⩛153542","reverse_text":"↹⩛153542=↹⩛14202⪝↹⩛5252⩍⋽⫝̸↹⩛13311↹⊜↹⩛44003","cot":[{"info":"↹⩛14202⪝↹⩛5252=↹⩛-33143","layer":1},{"info":"↹⩛13311↹⊜↹⩛44003=↹⩛-233234","layer":1},{"info":"↹⩛-33143⩍⋽⫝̸↹⩛-233234=↹⩛153542","layer":0}]}
{"id":993,"expression_no_base_symbol":"$2547$⨑⩅≇$7408$⪘⫢$1102$⫗⊷⫓$1156$","expression":"↹⩛15443⨑⩅≇↹⩛54144⪘⫢↹⩛5034⫗⊷⫓↹⩛5204","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":904990,"operation_count":3,"complexity_ratio":301663.3333333333,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":2547,"base":6},"right_expr":{"type":"numeric_atoms","value":7408,"base":6}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1102,"base":6},"right_expr":{"type":"numeric_atoms","value":1156,"base":6}}},"used_operators":["oacrs7FA3X","h92wMvzauj","zashukvMKz"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"↹⩛-1","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=2547","layer":2},{"info":"number node, value=7408","layer":2},{"info":"compute binary expreesion, left_input=2547, right_input=7408, 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":1},{"info":"number node, value=1102","layer":2},{"info":"number node, value=1156","layer":2},{"info":"compute binary expreesion, left_input=1102, right_input=1156, 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=-7641, right_input=-134, 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":6,"result_base":6,"text":"↹⩛15443⨑⩅≇↹⩛54144⪘⫢↹⩛5034⫗⊷⫓↹⩛5204=↹⩛-1","reverse_text":"↹⩛-1=↹⩛15443⨑⩅≇↹⩛54144⪘⫢↹⩛5034⫗⊷⫓↹⩛5204","cot":[{"info":"↹⩛15443⨑⩅≇↹⩛54144=↹⩛-55213","layer":1},{"info":"↹⩛5034⫗⊷⫓↹⩛5204=↹⩛-342","layer":1},{"info":"↹⩛-55213⪘⫢↹⩛-342=↹⩛-1","layer":0}]}
{"id":994,"expression_no_base_symbol":"$1147$⫳≱↱$4940$⊍⩺⋍(⋂$1216$)","expression":"↹⩛5151⫳≱↱↹⩛34512⊍⩺⋍(⋂↹⩛5344)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":541,"operation_count":3,"complexity_ratio":180.33333333333334,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1147,"base":6},"right_expr":{"type":"numeric_atoms","value":4940,"base":6}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":1216,"base":6}}},"used_operators":["OXDGMFPWZM","ZvLB05nZmT","BUOGQAYlQx"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1147","layer":2},{"info":"number node, value=4940","layer":2},{"info":"compute binary expreesion, left_input=1147, right_input=4940, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"number node, value=1216","layer":2},{"info":"compute unary expreesion, input=1216, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-16428","layer":1},{"info":"compute binary expreesion, left_input=-204, right_input=-16428, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛5151⫳≱↱↹⩛34512⊍⩺⋍(⋂↹⩛5344)=NaN","reverse_text":"NaN=↹⩛5151⫳≱↱↹⩛34512⊍⩺⋍(⋂↹⩛5344)","cot":[{"info":"↹⩛5151⫳≱↱↹⩛34512=↹⩛-540","layer":1},{"info":"⋂↹⩛5344=↹⩛-204020","layer":1},{"info":"↹⩛-540⊍⩺⋍↹⩛-204020=NaN","layer":0}]}
{"id":995,"expression_no_base_symbol":"$5487$≳⇉$1247$⫰⋱$2873$⫗⊷⫓$1373$","expression":"↹⩛41223≳⇉↹⩛5435⫰⋱↹⩛21145⫗⊷⫓↹⩛10205","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23709219,"operation_count":3,"complexity_ratio":7903073.0,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":5487,"base":6},"right_expr":{"type":"numeric_atoms","value":1247,"base":6}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2873,"base":6},"right_expr":{"type":"numeric_atoms","value":1373,"base":6}}},"used_operators":["6o9Blt3TJ6","V0kx6qeWkN","zashukvMKz"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=5487","layer":2},{"info":"number node, value=1247","layer":2},{"info":"compute binary expreesion, left_input=5487, right_input=1247, 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=2873","layer":2},{"info":"number node, value=1373","layer":2},{"info":"compute binary expreesion, left_input=2873, right_input=1373, 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 = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":0}],"base":6,"result_base":6,"text":"↹⩛41223≳⇉↹⩛5435⫰⋱↹⩛21145⫗⊷⫓↹⩛10205=NaN","reverse_text":"NaN=↹⩛41223≳⇉↹⩛5435⫰⋱↹⩛21145⫗⊷⫓↹⩛10205","cot":[{"info":"↹⩛41223≳⇉↹⩛5435=NaN","layer":1},{"info":"↹⩛21145⫗⊷⫓↹⩛10205=↹⩛-342","layer":1},{"info":"NaN⫰⋱↹⩛-342=NaN","layer":0}]}
{"id":996,"expression_no_base_symbol":"⨈⪑$1725$⪒⊣⊆$4221$","expression":"⨈⪑↹⩛11553⪒⊣⊆↹⩛31313","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":81,"operation_count":2,"complexity_ratio":40.5,"tree":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1725,"base":6},"right_expr":{"type":"numeric_atoms","value":4221,"base":6}}},"used_operators":["mp94q5OcYM","eRqsBgTDFp"],"dependent_operators":["YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","sdazOOVcIp","W4YGzv6Whe"],"result":"↹⩛4004","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1725","layer":2},{"info":"number node, value=4221","layer":2},{"info":"compute binary expreesion, left_input=1725, right_input=4221, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3450","layer":1},{"info":"compute unary expreesion, input=3450, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":0}],"base":6,"result_base":6,"text":"⨈⪑↹⩛11553⪒⊣⊆↹⩛31313=↹⩛4004","reverse_text":"↹⩛4004=⨈⪑↹⩛11553⪒⊣⊆↹⩛31313","cot":[{"info":"↹⩛11553⪒⊣⊆↹⩛31313=↹⩛23550","layer":1},{"info":"⨈⪑↹⩛23550=↹⩛4004","layer":0}]}
{"id":997,"expression_no_base_symbol":"$1450$⫗⊷⫓$1574$⋝⋈⪟$1530$⩇∃⫛$6997$","expression":"↹⩛10414⫗⊷⫓↹⩛11142⋝⋈⪟↹⩛11030⩇∃⫛↹⩛52221","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1222322,"operation_count":3,"complexity_ratio":407440.6666666667,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1450,"base":6},"right_expr":{"type":"numeric_atoms","value":1574,"base":6}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1530,"base":6},"right_expr":{"type":"numeric_atoms","value":6997,"base":6}}},"used_operators":["2DDjHMKMc0","zashukvMKz","1aApVXNlOP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG"],"result":"↹⩛-342","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=1450","layer":2},{"info":"number node, value=1574","layer":2},{"info":"compute binary expreesion, left_input=1450, right_input=1574, 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=1530","layer":2},{"info":"number node, value=6997","layer":2},{"info":"compute binary expreesion, left_input=1530, right_input=6997, 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=5940","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=5940, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-134","layer":0}],"base":6,"result_base":6,"text":"↹⩛10414⫗⊷⫓↹⩛11142⋝⋈⪟↹⩛11030⩇∃⫛↹⩛52221=↹⩛-342","reverse_text":"↹⩛-342=↹⩛10414⫗⊷⫓↹⩛11142⋝⋈⪟↹⩛11030⩇∃⫛↹⩛52221","cot":[{"info":"↹⩛10414⫗⊷⫓↹⩛11142=↹⩛-342","layer":1},{"info":"↹⩛11030⩇∃⫛↹⩛52221=↹⩛43300","layer":1},{"info":"↹⩛-342⋝⋈⪟↹⩛43300=↹⩛-342","layer":0}]}
{"id":998,"expression_no_base_symbol":"($1760$⊢)⩌⋺$5057$⪔⊥$5679$","expression":"(↹⩛12052⊢)⩌⋺↹⩛35225⪔⊥↹⩛42143","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29,"operation_count":3,"complexity_ratio":9.666666666666666,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":1760,"base":6}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":5057,"base":6},"right_expr":{"type":"numeric_atoms","value":5679,"base":6}}},"used_operators":["g7Hmc5v1ko","40aOVDgCDB","HJ9erzHUuu"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","NTOWxs364D","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"↹⩛-51225","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1760","layer":2},{"info":"compute unary expreesion, input=1760, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-2007","layer":1},{"info":"number node, value=5057","layer":2},{"info":"number node, value=5679","layer":2},{"info":"compute binary expreesion, left_input=5057, right_input=5679, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=8671","layer":1},{"info":"compute binary expreesion, left_input=-2007, right_input=8671, 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=-6785","layer":0}],"base":6,"result_base":6,"text":"(↹⩛12052⊢)⩌⋺↹⩛35225⪔⊥↹⩛42143=↹⩛-51225","reverse_text":"↹⩛-51225=(↹⩛12052⊢)⩌⋺↹⩛35225⪔⊥↹⩛42143","cot":[{"info":"↹⩛12052⊢=↹⩛-13143","layer":1},{"info":"↹⩛35225⪔⊥↹⩛42143=↹⩛104051","layer":1},{"info":"↹⩛-13143⩌⋺↹⩛104051=↹⩛-51225","layer":0}]}
{"id":999,"expression_no_base_symbol":"($8747$⋥⋵⩄$3111$)↤⩊$2076$⫗⊷⫓$3709$","expression":"(↹⩛104255⋥⋵⩄↹⩛22223)↤⩊↹⩛13340⫗⊷⫓↹⩛25101","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2881400,"operation_count":3,"complexity_ratio":960466.6666666666,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":8747,"base":6},"right_expr":{"type":"numeric_atoms","value":3111,"base":6}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2076,"base":6},"right_expr":{"type":"numeric_atoms","value":3709,"base":6}}},"used_operators":["13rbtpv6ld","7t3wd0Fuz7","zashukvMKz"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"NaN","longer_result_info":{"target_base":6,"flag":false},"cot_info":[{"info":"number node, value=8747","layer":2},{"info":"number node, value=3111","layer":2},{"info":"compute binary expreesion, left_input=8747, right_input=3111, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":1},{"info":"number node, value=2076","layer":2},{"info":"number node, value=3709","layer":2},{"info":"compute binary expreesion, left_input=2076, right_input=3709, 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=113, 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":0}],"base":6,"result_base":6,"text":"(↹⩛104255⋥⋵⩄↹⩛22223)↤⩊↹⩛13340⫗⊷⫓↹⩛25101=NaN","reverse_text":"NaN=(↹⩛104255⋥⋵⩄↹⩛22223)↤⩊↹⩛13340⫗⊷⫓↹⩛25101","cot":[{"info":"↹⩛104255⋥⋵⩄↹⩛22223=↹⩛305","layer":1},{"info":"↹⩛13340⫗⊷⫓↹⩛25101=↹⩛-342","layer":1},{"info":"↹⩛305↤⩊↹⩛-342=NaN","layer":0}]}
{"id":1000,"expression_no_base_symbol":"($1175$⫸⊐$5671$)⇂≾⫗($1338$⩍⋽⫝̸$4153$)","expression":"(↹⩛5235⫸⊐↹⩛42131)⇂≾⫗(↹⩛10110⩍⋽⫝̸↹⩛31121)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":86,"operation_count":3,"complexity_ratio":28.666666666666668,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1175,"base":6},"right_expr":{"type":"numeric_atoms","value":5671,"base":6}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1338,"base":6},"right_expr":{"type":"numeric_atoms","value":4153,"base":6}}},"used_operators":["aBQ6xLxuTc","mqXw5SEYmG","BiWNJpBvwn"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Ph9nP6C5qx","xUOZtlo3hN"],"result":"↹⩛-3044","longer_result_info":{"target_base":6,"flag":true},"cot_info":[{"info":"number node, value=1175","layer":2},{"info":"number node, value=5671","layer":2},{"info":"compute binary expreesion, left_input=1175, right_input=5671, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=22559","layer":1},{"info":"number node, value=1338","layer":2},{"info":"number node, value=4153","layer":2},{"info":"compute binary expreesion, left_input=1338, right_input=4153, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=3207","layer":1},{"info":"compute binary expreesion, left_input=22559, right_input=3207, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":0}],"base":6,"result_base":6,"text":"(↹⩛5235⫸⊐↹⩛42131)⇂≾⫗(↹⩛10110⩍⋽⫝̸↹⩛31121)=↹⩛-3044","reverse_text":"↹⩛-3044=(↹⩛5235⫸⊐↹⩛42131)⇂≾⫗(↹⩛10110⩍⋽⫝̸↹⩛31121)","cot":[{"info":"↹⩛5235⫸⊐↹⩛42131=↹⩛252235","layer":1},{"info":"↹⩛10110⩍⋽⫝̸↹⩛31121=↹⩛22503","layer":1},{"info":"↹⩛252235⇂≾⫗↹⩛22503=↹⩛-3044","layer":0}]}